Question

What is the center of the circle described by the equation (x - 2)^2 +(y + 7)^2 =169

A (2, 7)
B (-2, -7)
C (2, -7)
D (-2, 7)

Answer 1

The center is (2, -7)

Explanation:

A circle is given by

(x-h)^2 + (y-k)^2 = r^2

where(h,k) is the center and r is the radius

(x - 2)^2 +(y + 7)^2 =169

(x - 2)^2 +(y - -7)^2 =13^2

The center is (2, -7) and the radius is 13