Provide an appropriate response.
-Which one of the following is a description of the graph of the inequality?
$$( x + 7 ) ^ { 2 } + ( y + 2 ) ^ { 2 }

Question

Provide an appropriate response.
-Which one of the following is a description of the graph of the inequality?
$$( x + 7 ) ^ { 2 } + ( y + 2 ) ^ { 2 } < 9$$
A) The region inside a circle with center $( - 7 , - 2 )$ and radius 3
B) The region outside a circle with center $( 7,2 )$ and radius 3
C) The region inside the circle with center $( 7,2 )$ and radius 3
D) The region outside a circle with center $( - 7 , - 2 )$ and radius 3

Quizplus · Accepted Answer

The inequality $( x + 7 ) ^ { 2 } + ( y + 2 ) ^ { 2 } < 9$ represents the region inside a circle with center at $(-7, -2)$ and radius $3$, because the equation is in the form $(x - h)^2 + (y - k)^2 < r^2$, where $(h, k)$ is the center of the circle and $r$ is the radius.

Provide an Appropriate Response (x+7)2+(y+2)2<9( x + 7 ) ^ { 2 } + ( y + 2 ) ^ { 2 } < 9(x+7)2+(y+2)2<9

Provide an Appropriate Response $( x + 7 ) ^ { 2 } + ( y + 2 ) ^ { 2 } < 9$