👤

Answer :

Answer:

(x + 5)² + (y + 4)² = 49

Explanation:

The equation of a circle with center (h, k) and radius r is

[tex](x-h)^2+(y-k)^2=r^2[/tex]

So, replacing (h, k) = (-5, -4) and r = 7, we get:

[tex]\begin{gathered} (x-(-5))^2+(y-(-4))^2=7^2 \\ (x+5)^2+(y+4)^2=49 \end{gathered}[/tex]

Therefore, the answer is

(x + 5)² + (y + 4)² = 49