Question

Plsssssssssssssss help​

Answer 1

(D). (8, - 5)

Explanation:

Coordinates of a center of a circle (x - h)² + (y - k)² = r² is (h, k)

Coordinates of the midpoint are (
`(x_(1) +x_(2) )/(2)` ,
`(y_(1) +y_(2) )/(2)` )

(x² - 10x + 25) + (y² + 2y + 1) = 25

(x - 5)² + (y + 1)² = 5²

(5, - 1) are coordinates of the center of the circle and (5, - 1) is a midpoint of the segment connected (2, 3) and (x, y)

5 = (2 + x) / 2 ⇒ x = 8

- 1 = (3 + y) / 2 ⇒ y = - 5

(D). (8, - 5)