Final answer:
The coordinates of the center of the circle given by the equation (x - 3)^2 + (y + 7)^2 = 120^2 are (3, -7).
Step-by-step explanation:
The equation of the circle, given by (x - 3)^2 + (y + 7)^2 = 120^2, is in the standard form of a circle (x - h)^2 + (y - k)^2 = r^2, where (h, k) are the coordinates of the center of the circle and r is the radius. Comparing it to the given equation, the center of the circle is at (3, -7), which corresponds to option a. (3, -7).