Question

concentric circles are circles with the same center but different radii. which equations represent concentric circles along with the circle shown in the graph? check all that apply.$square x^{2}+y^{2}=25$$square (x-8)^{2}+(y-9)^{2}=3$$square (x-8)^{2}+(y-9)^{2}=14$$square (x-8)^{2}+(y+9)^{2}=3$$square (x+8)^{2}+(y+9)^{2}=25$$square (x+9)^{2}+(y+8)^{2}=3$

Explanation:

Step1: Identify circle center

From the graph, the center $(h,k)$ is $(8,9)$.

Step2: Recall circle equation form

The standard form is $(x-h)^2+(y-k)^2=r^2$, where $(h,k)$ is the center, $r$ is radius.

Step3: Match equations to center

Check which equations have $(h,k)=(8,9)$ (i.e., $(x-8)^2+(y-9)^2=r^2$).

Answer:

$\boldsymbol{(x-8)^2+(y-9)^2=3}$, $\boldsymbol{(x-8)^2+(y-9)^2=14}$