Question

section 5.1
score: 0.9/10 answered: 1/10
question 2
write the equation of the circle centered at $(-9, -4)$ with radius 10.
enter your equation without a square root.
question help: video
check answer

Explanation:

Step1: Recall circle equation formula

The standard equation of a circle with center $(h,k)$ and radius $r$ is $(x-h)^2 + (y-k)^2 = r^2$.

Step2: Substitute center values

Here, $h=-9$, $k=-4$, so substitute into the formula:
$(x - (-9))^2 + (y - (-4))^2 = r^2$
Simplify to: $(x+9)^2 + (y+4)^2 = r^2$

Step3: Substitute radius and square it

Radius $r=10$, so $r^2=10^2=100$. Substitute this value:
$(x+9)^2 + (y+4)^2 = 100$

Answer:

$(x+9)^2 + (y+4)^2 = 100$