Math  /  Geometry

Question(x+3)2+(y4)2=9(x+3)^{2}+(y-4)^{2}=9
A circle in the xyx y-plane has the equation shown. If the xx-coordinate of a point on the circle is -3 , what is a possible corresponding yy-coordinate? \square

Studdy Solution
Solve for yy by taking the square root of both sides:
y4=±3y-4 = \pm 3
Solve for yy:
1. y4=3y - 4 = 3 $ y = 7 \]
2. y4=3y - 4 = -3 $ y = 1 \]
The possible yy-coordinates are y=7y = 7 and y=1y = 1.
A possible corresponding yy-coordinate is:
7or1\boxed{7} \quad \text{or} \quad \boxed{1}

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