Provide an appropriate response.
-Which one of the following is a description of the graph of the inequality?
$$( x + 2 ) ^ { 2 } + ( y + 4 ) ^ { 2 } 49$$
A) The region inside a circle with center $( - 2 , - 4 )$ and radius 7
B) The region outside a circle with center $( 2,4 )$ and radius 7
C) The region inside the circle with center $( 2,4 )$ and radius 7
D) The region outside a circle with center $( - 2 , - 4 )$ and radius 7

Question

Provide an appropriate response.
-Which one of the following is a description of the graph of the inequality?
$$( x + 2 ) ^ { 2 } + ( y + 4 ) ^ { 2 } > 49$$
A) The region inside a circle with center $( - 2 , - 4 )$ and radius 7
B) The region outside a circle with center $( 2,4 )$ and radius 7
C) The region inside the circle with center $( 2,4 )$ and radius 7
D) The region outside a circle with center $( - 2 , - 4 )$ and radius 7

Quizplus · Accepted Answer

The equation resembles the standard form of a circle $(x - h)^2 + (y - k)^2 = r^2$, but with an inequality sign. The center of the circle is at $(h, k) = (-2, -4)$ and the radius is $\sqrt{49} = 7$. The inequality sign ">" indicates the region outside the circle.

Provide an Appropriate Response (x+2)2+(y+4)2>49( x + 2 ) ^ { 2 } + ( y + 4 ) ^ { 2 } > 49(x+2)2+(y+4)2>49

Provide an Appropriate Response $( x + 2 ) ^ { 2 } + ( y + 4 ) ^ { 2 } > 49$