Can someone please explain(ignore the lines i’ve drawn on i don’t think they are
correct)

Step-by-step explanation:

1.open the compass more than half of the distance between C and D, and scribe arcs of the same radius centered at C and D.

2. Call the two points where these two arcs meet A and B. Draw the line between A and B.

3. AB is the perpendicular bisector of the line segment CD. Call the point where AB intersects CD E.

This website offers a pretty good explanation:

https://web.sonoma.edu/users/w/wilsonst/courses/math_150/c-s/Perp-Bisect.html

Correct  B: (x + 10)² + (y + 5)² = 125

Step-by-step explanation:

Given:

Point A(-5, 5)   point that belong to the circle

Point C(-10, -5) = (a, b)   coordinates of the center of the circle

The standard form of the circle equation is:

(x - a)² + (y - b)² = r²

we will replace the given coordinates in the circle equation

(-5 -(-10))² + (5 -(- 5))² =  r²

(-5 + 10)² + (5 + 5)² =  r²

5² + 10² = 125 = r²

r² = 125

the required equation of the circle is:

(x + 10)² + (y + 5)² = 125

God is with you!!!