Questions are in attachment below : )

1. The equation of a circle with center (h,k) and radius r units is given by

The given circle has center (5,-2) and a radius r=3 units.

We substitute these values into the formula to get:

This simplifies to:

The correct answer is A.

2.  The given circle has center (3,-5) and radius r=8 units.

We substitute the given values into the formula to obtain:

We simplify to get:

The correct answer is C

3. The given circle has equation:

We can rewrite this equation as:

Comparing this to

The center is (-8,-9) and the radius is 13.

The correct answer is A.

4. The given circle has equation:

We can rewrite this equation as:

Comparing this to

The center is (7,0) and the radius is 15.

The correct answer is B.

5. The given circle has center (-2,6) and passes through (-2,10).

We can use the number line to find the radius.

We substitute the center and the radius into the formula to get:

This simplifies to:

The correct answer is A

6. The given circle has center (1,2) and passes through (0,6).

We can use the distance formula to find the radius.

We substitute the center and the radius into the formula to get:

This simplifies to:

The correct answer is C

d is the correct answer

step-by-step explanation:

x= 8 because 3x = 3 * 8, and 3*8 = 24