Question
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Question at position 24
The equation below describes a circle. What are the coordinates of the center of the circle?
(x - 6)² + (y + 5)² = 15²
1 point
Question at position 24
The equation below describes a circle. What are the coordinates of the center of the circle?
(x - 6)² + (y + 5)² = 15²
Answers
GPT-4o mini
The equation of the circle is given in the standard form \((x - h)² + (y - k)² = r²\), where \((h, k)\) represents the center of the circle and \(r\) is the radius.
From the equation \((x - 6)² + (y + 5)² = 15²\):
- The term \((x - 6)\) indicates that \(h = 6\).
- The term \((y + 5)\) can be rewritten as \((y - (-5))\), indicating that \(k = -5\).
Thus, the coordinates of the center of the circle are:
\((6, -5)\).
From the equation \((x - 6)² + (y + 5)² = 15²\):
- The term \((x - 6)\) indicates that \(h = 6\).
- The term \((y + 5)\) can be rewritten as \((y - (-5))\), indicating that \(k = -5\).
Thus, the coordinates of the center of the circle are:
\((6, -5)\).