Question

The equation of a circle is left-parenthesis x plus 8 right-parenthesis squared plus left-parenthesis y plus 9 right-parenthesis squared equals 169. Which of the following are the center and the radius of the circle?

Answer 1

You've cleverly eliminated the answer choices from under the question, apparently to make it more interesting and more challenging for us.

If I understand your ponderous description of the equation, it looks like this:

(x+8)² + (y+9)² = 169 .

This is, in fact, the equation of a circle.

Its center is located at the point  (-8, -9), and its radius is √169 =  13 .