The diameter of a circle has endpoints S(2, 7) and U(4, –3). What is the product of the coordinates of the center of the circle?

Question

asked Apr 19, 2024 1.0k views

1 Answer

Hoppa · Answer 1 · 2024-04-26T16:28:38+0000

Answer:

6

Explanation:

Given a circle with diameter SU, you want the product of the coordinates of the center of the circle. S(2, 7) and U(4, -3)

The center is the midpoint of SU:

M = (S +U)/2

M = ((2, 7) +(4, -3))/2 = (2+4, 7-3)/2 = (6, 4)/2

M = (3, 2)

The product of the coordinates is 3×2 = 6.

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