Question

Help! Hurry! NO SPAM!!!! I will mark brainliest if you get it correct, and show your work. Identify the equation for the circle with center (3, 7) that contains the point (9, 11).

Answer 1

Answer:

file below

Step-by-step explanation:

The equation of a circle:

(h, k) - center

r - radius

We have the center (4, -3) and the point on the circle (9, -3).

The length of radius is equal to the distance between a center and an any point on a circle.

The formula of a distance between two points:

Answer 2

Answer:

(x + 3)^2 + (y + 7)^2 = 468

Explanation:

The general equation for a circle, where the centre is not the origin is;:
(x + a)^2 + (y + b)^2 = r^2

Substitute in our centre coordinates:
(x + 3)^2 + (y + 7)^2 = r^2

Substitute in our point coordinates:
(9 + 3)^2 + (11 + 7)^2 = r^2

Now we can solve for r^2
12^2 + 18^2 = r^2
r^2 = 468

Substituting this into our equation for the circle, we get:
(x + 3)^2 + (y + 7)^2 = 468