The equation of the circle is (x+8) ^2 + (y+9) ^2=169. Which of the following are the center and the radius of the circle

The equation for a circle is (x - h) ^2 + (y - k) ^2 = r^2

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

(x + 8) ^2 + (y + 9) ^2 = 169

Since the equation is - h and - k, I will rewrite in terms of - h and - k.

(x - - 8) ^2 + (y - - 9) ^2 = 13^2

The center is (-8, - 9) and the radius = 13

Let me know if you need me to explain further.