A circle is centered at (5, −9) and has a radius of 12. Which of the following is the equation for this circle?

Step-by-step explanation:

The standard form for the equation of a circle is:

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

For this circle, the center is (5, -9) and the radius is 12. Therefore:

Substitute the values into the formula.

Distrubute the -1 into the -9.

Solve the exponent.

The equation for the circle with a center (5,-9) and radius of 12 is (x-5)²+(y+9)²=144