What is the midpoint of the segment connecting the points (5,3) and (7,-2)?
The arithmetic mean of the endpoints' coordinates is the segment's midpoint.
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The midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) is calculated using the formula:
Midpoint = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)
Given the points (5,3) and (7,-2), we can apply this formula to find the midpoint of the segment connecting them.
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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.
- A line passes through #(3 ,6 )# and #(2 ,8 )#. A second line passes through #(7 ,1 )#. What is one other point that the second line may pass through if it is parallel to the first line?
- A triangle has corners at #(5 ,6 )#, #(4 ,7 )#, and #(3 ,5 )#. How far is the triangle's centroid from the origin?
- A triangle has corners at #(7 ,2 )#, #(2 ,6 )#, and #(3 ,1 )#. How far is the triangle's centroid from the origin?
- An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(4 ,9 )# to #(1 ,0 )# and the triangle's area is #32 #, what are the possible coordinates of the triangle's third corner?
- Circle A has a center at #(1 ,3 )# and a radius of #1 #. Circle B has a center at #(-2 ,-5 )# and a radius of #2 #. Do the circles overlap? If not, what is the smallest distance between them?

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