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center: (2, -9), r = 3

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\r\n
Step 1: Recall the general form of a circle
\r\n\r\n
\\( (x-h)^2 + (y-k)^2 = r^2 \\) where the center is at \\( (h,k) \\) and the radius is \\( r \\)
\r\n
\r\n\r\n
\r\n
Step 2: Compare the given equation to the general form
\r\n\r\n
Substituting \\( h = 2\\), \\( k = -9 \\), and \\( r = 3 \\) into the general form reproduces the equation \\( (x-2)^2 + (y+9)^2 = 9 \\)
\r\n
\r\n\r\n
\r\n
Step 3: Final answer
\r\n\r\n
Center: \\( (2, -9) \\); Radius: \\( r = 3 \\)
\r\n
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center: (2, -9), r = 3

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What is the center and radius of the circle given by \\( (x-2)^2 + (y+9)^2 = 9 \\)?

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center: (-2, 9), r = 81

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center: (-2, 9), r = 3

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center: (2, -9), r = 81

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center: (2, -9), r = 3

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center: (2, -9), r = 3

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\r\n
Step 1: Recall the general form of a circle
\r\n\r\n
\\( (x-h)^2 + (y-k)^2 = r^2 \\) where the center is at \\( (h,k) \\) and the radius is \\( r \\)
\r\n
\r\n\r\n
\r\n
Step 2: Compare the given equation to the general form
\r\n\r\n
Substituting \\( h = 2\\), \\( k = -9 \\), and \\( r = 3 \\) into the general form reproduces the equation \\( (x-2)^2 + (y+9)^2 = 9 \\)
\r\n
\r\n\r\n
\r\n
Step 3: Final answer
\r\n\r\n
Center: \\( (2, -9) \\); Radius: \\( r = 3 \\)
\r\n
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center: (2, -9), r = 3

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What is the center and radius of the circle given by \\( (x-2)^2 + (y+9)^2 = 9 \\)?

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center: (-2, 9), r = 81

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center: (-2, 9), r = 3

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center: (2, -9), r = 81

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center: (2, -9), r = 3

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\\( 6 \\)

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\\( 5 + 7i \\)

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\\( 5 + i \\)

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\\( 1 + i \\)

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Evaluate and simplify:

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\\( (3 + 4i) - (-2 + 3i) \\)

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