1. What is the center and radius of the circle?

(x-4) ² + (x-7) ² - 49

Center at (4, 7) and radius is √49, or 7

Step-by-step explanation:

Didn't you mean (x-4) ² + (y-7) ² = 49?

Comparing (x-4) ² + (y-7) ² = 49

to (x - h) ^2 + (y - k) ^2 = r^2, we see that the center is at (h, k) = > (4, 7) and that the radius is √49, or 7.