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defon
3 years ago
14

The endpoints of the diameter of a circle are (-7, 3) and (5, 1). What is the center of the circle?

Mathematics
1 answer:
MrMuchimi3 years ago
8 0

Answer:   C. (-1, 2)

<u>Step-by-step-explanation:</u>

The center is the midpoint of the endpoints

 

  →          \bigg(\dfrac{x_1+x_2}{2}       ,      \dfrac{y_1+y_2}{2}\bigg)

    →           \bigg(\dfrac{-7+5}{2}         ,       \dfrac{3+1}{2}\bigg)

    →               \bigg(\dfrac{-2}{2}             ,          \dfrac{4}{2}\bigg)

    →                (-1              ,            2)

The midpoint is (-1, 2)

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x = 15 - y

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z = 12 - x

The first equation is solved for x. Substitute x in the third equation with 15 - y from the first equation.

z = 12 - (15 - y)

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Now substitute y - 3 for z in the original second equation.

y = 13 - z

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