Circle A has a center at #(9 ,4 )# and a radius of #3 #. Circle B has a center at #(-1 ,6 )# and a radius of #5 #. Do the circles overlap? If not, what is the smallest distance between them?
Jayden JacksonThey do not overlap - min distance is about 2.2
The two centers overlap if the separation between them is less than the total of their radii.
Using the Pythagorean theorem, we can determine the separation between the centers:
10.2 (rounded to the nearest whole number)
The total radii of the two circles is 8.
GOOD LUCK
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Sadie AdamsYes, the circles overlap. The distance between their centers is 11 units, which is less than the sum of their radii (3 + 5 = 8 units). Hence, they intersect.
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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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