The answer is 126
I think.... hope this helped:)
The equation of a circle:
![(x-h)^2+(y-k)^2=r^2](https://tex.z-dn.net/?f=%28x-h%29%5E2%2B%28y-k%29%5E2%3Dr%5E2)
(h, k) - a center
r - a radius
We have:
The center (-3, -4) → h = -3 and k = -4.
The radius is equal the distance between the center of the circle and the origin.
The formula of a distance between two points:
![A(x_A,\ y_A),\ B(X_B,\ y_B)\\\\d_{AB}=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}](https://tex.z-dn.net/?f=A%28x_A%2C%5C%20y_A%29%2C%5C%20B%28X_B%2C%5C%20y_B%29%5C%5C%5C%5Cd_%7BAB%7D%3D%5Csqrt%7B%28x_B-x_A%29%5E2%2B%28y_B-y_A%29%5E2%7D)
Substitute
![(-3,\ -4),\ (0,\ 0)\\\\d=\sqrt{(0-(-3))^2+(0-(-4))^2}=\sqrt{9+16}=\sqrt{25}=5](https://tex.z-dn.net/?f=%28-3%2C%5C%20-4%29%2C%5C%20%280%2C%5C%200%29%5C%5C%5C%5Cd%3D%5Csqrt%7B%280-%28-3%29%29%5E2%2B%280-%28-4%29%29%5E2%7D%3D%5Csqrt%7B9%2B16%7D%3D%5Csqrt%7B25%7D%3D5)
therefore r = 5.
Answer:
![(x-(-3))^2+(y-(-4))^2=5^2\\\\(x+3)^2+(y+4)^2=25](https://tex.z-dn.net/?f=%28x-%28-3%29%29%5E2%2B%28y-%28-4%29%29%5E2%3D5%5E2%5C%5C%5C%5C%28x%2B3%29%5E2%2B%28y%2B4%29%5E2%3D25)
2. 5, 10, and 20 are factors of 20 that are not also factors of 12.
The answer is a. 2 of the sides are the same and one angle is the same