Circle A has a radius of #4 # and a center of #(5 ,3 )#. Circle B has a radius of #3 # and a center of #(1 ,4 )#. If circle B is translated by #<2 ,-1 >#, does it overlap circle A? If not, what is the minimum distance between points on both circles?
Answer 1
Aaliyah AndersonWhat we have to do here is #color(blue)"compare"# the distance ( d) between the centres of the circles to the #color(blue)"sum of radii"#
#• " if sum of radii ">d" then circles overlap"#
#• " if sum of radii " < d" then no overlap"#
Before calculating d we require to find the 'new ' centre of B under the given translation which does not change the shape of the circle only it's position.
#"under a translation "((2),(-1))#
#(1,4)to(3,3)larrcolor(red)" new centre of B"#
#"since "(5,3)" and "(3,3)" have the same y-coordinate then"#
#"d is the difference of the x-coordinates"#
#rArrd=5-3=2#
#"sum of radii "=4+3=7#
#"since sum of radii ">d" then circles overlap"#
graph{((x-5)^2+(y-3)^2-16)((x-3)^2+(y-3)^2-9)=0 [-20, 20, -10, 10]}
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Answer 2
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The distance between the centers of circle A and circle B before translation is:
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The distance between the centers of circle A and circle B before translation is:
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The distance between the centers of circle A and B can be found using the distance formula:
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The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
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The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 +To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (yTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
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The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 -To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 -To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - yTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2)To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
ForTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) =To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circleTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle ATo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A withTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with centerTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 +To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5,To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3)To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) andTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2)To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circleTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) =To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle BTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B afterTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translationTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation withTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 +To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with centerTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1)To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 +To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) =To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2,To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
TheTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sumTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 -To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum ofTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of theTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radiTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1)To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radiiTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) =To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii ofTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circleTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle ATo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3,To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A andTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circleTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle BTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3),To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B isTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), theTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distanceTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance betweenTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 +To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between theirTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centersTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers isTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 =To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
SinceTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 -To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since theTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distanceTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance betweenTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between theTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centersTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 +To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers ofTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of theTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circlesTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 -To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (beforeTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translationTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation)To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) isTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2]To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greaterTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] =To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater thanTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than theTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sumTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum ofTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of theirTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radiTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radiiTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 +To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii,To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, theTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circlesTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles doTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do notTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2]To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlapTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] =To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
ToTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To findTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find theTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4)To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimumTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) =To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distanceTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance betweenTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between pointsTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points onTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
TheTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on bothTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sumTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circlesTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum ofTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles,To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of theTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, weTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radiTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtractTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radiiTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract theTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii ofTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract the sumTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii of circlesTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract the sum ofTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii of circles ATo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract the sum of theirTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii of circles A andTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract the sum of their radiTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii of circles A and BTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract the sum of their radiiTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii of circles A and B isTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract the sum of their radii fromTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii of circles A and B is To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract the sum of their radii from theTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii of circles A and B is 4To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract the sum of their radii from the distanceTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii of circles A and B is 4 +To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract the sum of their radii from the distance betweenTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii of circles A and B is 4 + To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract the sum of their radii from the distance between theirTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii of circles A and B is 4 + 3To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract the sum of their radii from the distance between their centersTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii of circles A and B is 4 + 3 =To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract the sum of their radii from the distance between their centers:
To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii of circles A and B is 4 + 3 = To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract the sum of their radii from the distance between their centers:
√To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii of circles A and B is 4 + 3 = 7To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract the sum of their radii from the distance between their centers:
√17To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii of circles A and B is 4 + 3 = 7.
To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract the sum of their radii from the distance between their centers:
√17 -To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii of circles A and B is 4 + 3 = 7.
SinceTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract the sum of their radii from the distance between their centers:
√17 - To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii of circles A and B is 4 + 3 = 7.
Since theTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract the sum of their radii from the distance between their centers:
√17 - 7To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii of circles A and B is 4 + 3 = 7.
Since the distanceTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract the sum of their radii from the distance between their centers:
√17 - 7 =To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii of circles A and B is 4 + 3 = 7.
Since the distance betweenTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract the sum of their radii from the distance between their centers:
√17 - 7 = √To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii of circles A and B is 4 + 3 = 7.
Since the distance between theTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract the sum of their radii from the distance between their centers:
√17 - 7 = √17To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii of circles A and B is 4 + 3 = 7.
Since the distance between the centersTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract the sum of their radii from the distance between their centers:
√17 - 7 = √17 -To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii of circles A and B is 4 + 3 = 7.
Since the distance between the centers ofTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract the sum of their radii from the distance between their centers:
√17 - 7 = √17 - To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii of circles A and B is 4 + 3 = 7.
Since the distance between the centers of theTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract the sum of their radii from the distance between their centers:
√17 - 7 = √17 - 7To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii of circles A and B is 4 + 3 = 7.
Since the distance between the centers of the circlesTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract the sum of their radii from the distance between their centers:
√17 - 7 = √17 - 7
To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii of circles A and B is 4 + 3 = 7.
Since the distance between the centers of the circles (To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract the sum of their radii from the distance between their centers:
√17 - 7 = √17 - 7
ThereforeTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii of circles A and B is 4 + 3 = 7.
Since the distance between the centers of the circles (2To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract the sum of their radii from the distance between their centers:
√17 - 7 = √17 - 7
Therefore,To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii of circles A and B is 4 + 3 = 7.
Since the distance between the centers of the circles (2)To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract the sum of their radii from the distance between their centers:
√17 - 7 = √17 - 7
Therefore, theTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii of circles A and B is 4 + 3 = 7.
Since the distance between the centers of the circles (2) isTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract the sum of their radii from the distance between their centers:
√17 - 7 = √17 - 7
Therefore, the minimumTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii of circles A and B is 4 + 3 = 7.
Since the distance between the centers of the circles (2) is lessTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract the sum of their radii from the distance between their centers:
√17 - 7 = √17 - 7
Therefore, the minimum distanceTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii of circles A and B is 4 + 3 = 7.
Since the distance between the centers of the circles (2) is less thanTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract the sum of their radii from the distance between their centers:
√17 - 7 = √17 - 7
Therefore, the minimum distance betweenTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii of circles A and B is 4 + 3 = 7.
Since the distance between the centers of the circles (2) is less than theTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract the sum of their radii from the distance between their centers:
√17 - 7 = √17 - 7
Therefore, the minimum distance between pointsTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii of circles A and B is 4 + 3 = 7.
Since the distance between the centers of the circles (2) is less than the sumTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract the sum of their radii from the distance between their centers:
√17 - 7 = √17 - 7
Therefore, the minimum distance between points onTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii of circles A and B is 4 + 3 = 7.
Since the distance between the centers of the circles (2) is less than the sum ofTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract the sum of their radii from the distance between their centers:
√17 - 7 = √17 - 7
Therefore, the minimum distance between points on bothTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii of circles A and B is 4 + 3 = 7.
Since the distance between the centers of the circles (2) is less than the sum of theirTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract the sum of their radii from the distance between their centers:
√17 - 7 = √17 - 7
Therefore, the minimum distance between points on both circlesTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii of circles A and B is 4 + 3 = 7.
Since the distance between the centers of the circles (2) is less than the sum of their radiTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract the sum of their radii from the distance between their centers:
√17 - 7 = √17 - 7
Therefore, the minimum distance between points on both circles isTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii of circles A and B is 4 + 3 = 7.
Since the distance between the centers of the circles (2) is less than the sum of their radiiTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract the sum of their radii from the distance between their centers:
√17 - 7 = √17 - 7
Therefore, the minimum distance between points on both circles is √To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii of circles A and B is 4 + 3 = 7.
Since the distance between the centers of the circles (2) is less than the sum of their radii (To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract the sum of their radii from the distance between their centers:
√17 - 7 = √17 - 7
Therefore, the minimum distance between points on both circles is √17To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii of circles A and B is 4 + 3 = 7.
Since the distance between the centers of the circles (2) is less than the sum of their radii (7To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract the sum of their radii from the distance between their centers:
√17 - 7 = √17 - 7
Therefore, the minimum distance between points on both circles is √17 -To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii of circles A and B is 4 + 3 = 7.
Since the distance between the centers of the circles (2) is less than the sum of their radii (7),To determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract the sum of their radii from the distance between their centers:
√17 - 7 = √17 - 7
Therefore, the minimum distance between points on both circles is √17 - To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii of circles A and B is 4 + 3 = 7.
Since the distance between the centers of the circles (2) is less than the sum of their radii (7), circleTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract the sum of their radii from the distance between their centers:
√17 - 7 = √17 - 7
Therefore, the minimum distance between points on both circles is √17 - 7To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii of circles A and B is 4 + 3 = 7.
Since the distance between the centers of the circles (2) is less than the sum of their radii (7), circle BTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract the sum of their radii from the distance between their centers:
√17 - 7 = √17 - 7
Therefore, the minimum distance between points on both circles is √17 - 7.To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii of circles A and B is 4 + 3 = 7.
Since the distance between the centers of the circles (2) is less than the sum of their radii (7), circle B overlapsTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract the sum of their radii from the distance between their centers:
√17 - 7 = √17 - 7
Therefore, the minimum distance between points on both circles is √17 - 7.To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii of circles A and B is 4 + 3 = 7.
Since the distance between the centers of the circles (2) is less than the sum of their radii (7), circle B overlaps circleTo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract the sum of their radii from the distance between their centers:
√17 - 7 = √17 - 7
Therefore, the minimum distance between points on both circles is √17 - 7.To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii of circles A and B is 4 + 3 = 7.
Since the distance between the centers of the circles (2) is less than the sum of their radii (7), circle B overlaps circle ATo determine if circle B overlaps circle A after being translated by <2, -1>, we need to calculate the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and circle B before translation is:
√((5 - 1)^2 + (3 - 4)^2) = √((4)^2 + (-1)^2) = √(16 + 1) = √17
The sum of the radii of circle A and circle B is:
4 + 3 = 7
Since the distance between the centers of the circles (before translation) is greater than the sum of their radii, the circles do not overlap.
To find the minimum distance between points on both circles, we subtract the sum of their radii from the distance between their centers:
√17 - 7 = √17 - 7
Therefore, the minimum distance between points on both circles is √17 - 7.To determine if circle B overlaps circle A after being translated by <2, -1>, we need to find the distance between the centers of the circles and compare it to the sum of their radii.
The distance between the centers of circle A and B can be found using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2]
For circle A with center (5, 3) and circle B after translation with center (1 + 2, 4 - 1) = (3, 3), the distance between their centers is:
√[(3 - 5)^2 + (3 - 3)^2] = √[(-2)^2 + (0)^2] = √(4) = 2
The sum of the radii of circles A and B is 4 + 3 = 7.
Since the distance between the centers of the circles (2) is less than the sum of their radii (7), circle B overlaps circle A.
If we want to find the minimum distance between points on both circles, we can find the distance between the centers and subtract the sum of their radii:
Minimum distance = Distance between centers - Sum of radii
= 2 - 7
= -5
However, since the minimum distance cannot be negative, it indicates that the circles are overlapping, and there is no minimum distance between them.
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Answer 3
Savannah AguilarNo, Circle B does not overlap Circle A after the translation. The minimum distance between points on both circles is ( \sqrt{10} ).
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Answer from HIX Tutor
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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