Solve the problem.
-Write an equation that represents the set of points that are 5 units from $( - 5 , - 7 )$.
A) $( x + 5 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 25$
B) $( x + 5 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 5$
C) $| x + 5 | + | y + 7 | = 5$
D) $| x - 5 | + | y - 7 | = 5$

Question

Quizplus · Accepted Answer

The equation represents a circle centered at $(-5, -7)$ with a radius of 5. The formula for a circle is $(x - h)^2 + (y - k)^2 = r^2$, where $(h, k)$ is the center and $r$ is the radius. Substituting $(-5, -7)$ for $(h, k)$ and $5$ for $r$, we get $(x + 5)^2 + (y + 7)^2 = 25$.

Solve the Problem (−5,−7)( - 5 , - 7 )(−5,−7) A)

Solve the Problem $( - 5 , - 7 )$
A)