The diameter of a circle has the endpoints of (2,5) and (-8, 29). Find the center and radius of the circle.

A) Center: (5,12)
Radius: 13
B) Center: (-5,17)
Radius: 26
C) Center: (-3,17)
Radius: 612
D) Center: (-3,17)
Radius: 13

Correct D) Center: (-3, 17), Radius: 13

Step-by-step explanation:

Given the diameter of a circle with endpoints: (2, 5) (-8, 29):

Let = (2, 5)

= (-8, 29)

To find the center of the circle, we can use the Midpoint formula:

Therefore, the center of the circle is (-3, 17).

We can use the distance formula to find the actual distance between these endpoints, and to help determine the radius of the circle.

The distance formula is:

Therefore, the diamater of the circle is 26, which means that the radius is 13.

answer: all the values are within because it has a pattern that repeats from -6 to 4.

good luck!

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!