Provide an appropriate response.
-Which one of the following is a description of the graph of the inequality?
$$( x + 9 ) ^ { 2 } + ( y - 2 ) ^ { 2 } 16$$
A) the region inside a circle with center $( - 9,2 )$ and radius 4
B) the region outside a circle with center $( 9 , - 2 )$ and radius 4
C) the region inside the circle with center $( 9 , - 2 )$ and radius 4
D) the region outside a circle with center $( - 9,2 )$ and radius 4

Question

Provide an appropriate response.
-Which one of the following is a description of the graph of the inequality?
$$( x + 9 ) ^ { 2 } + ( y - 2 ) ^ { 2 } > 16$$
A) the region inside a circle with center $( - 9,2 )$ and radius 4
B) the region outside a circle with center $( 9 , - 2 )$ and radius 4
C) the region inside the circle with center $( 9 , - 2 )$ and radius 4
D) the region outside a circle with center $( - 9,2 )$ and radius 4

Quizplus · Accepted Answer

The inequality describes the region outside a circle with center $(-9,2)$ and radius 4, because the equation is in the form $(x - h)^2 + (y - k)^2 > r^2$, where $(h,k)$ is the center and $r$ is the radius.

Provide an Appropriate Response (x+9)2+(y−2)2>16( x + 9 ) ^ { 2 } + ( y - 2 ) ^ { 2 } > 16(x+9)2+(y−2)2>16

Provide an Appropriate Response $( x + 9 ) ^ { 2 } + ( y - 2 ) ^ { 2 } > 16$