$\text { The graph of } ( x + 5 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 0 \text { contains no points. }$

Name: $\text { The graph of } ( x + 5 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 0 \text { contains no points. }$
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Quizplus · Accepted Answer

The equation $( x + 5 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 0$ represents a circle with center $(-5, -3)$ and radius 0. A circle with radius 0 is just a single point, so the graph of the equation contains one point, not zero points.

The graph of (x+5)2+(y+3)2=0 contains no points. \text { The graph of } ( x + 5 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 0 \text { contains no points. } The graph of (x+5)2+(y+3)2=0 contains no points.

$\text { The graph of } ( x + 5 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 0 \text { contains no points. }$