What are the coordinates of the center of the circle (x-5) ^ 2 + (y + 9) ^ 2 = 16.

The assignment is incorrectly written, we will rewrite it correctly.

(x – 5) ^ 2 + (y + 9) ^ 2 = 16;

The general equation of a circle is:

(x – x0) ^ 2 + (y – y0) ^ 2 = R ^ 2, where x0 and y0 are coordinates, r is the radius.

The coordinates will then be equal: x0 = 5, y0 = -9 or (5; -9). And the radius: r = 4.

Answer: (5; -9).