Find the Center (H, K) and Radius R of the Circle

question 226

Multiple Choice

Find the center (h, k) and radius r of the circle with the given equation.
- $$x ^ { 2 } - 4 x + 4 + y ^ { 2 } + 16 y + 64 = 9$$

• A) \(( \mathrm { h } , \mathrm { k } ) = ( - 8,2 ) ; \mathrm { r } = 3\)
• B) \(( \mathrm { h } , \mathrm { k } ) = ( 2 , - 8 ) ; \mathrm { r } = 3\)
• C) \(( h , k ) = ( 8 , - 2 ) ; r = 9\)
• D) \(( \mathrm { h } , \mathrm { k } ) = ( - 2,8 ) ; \mathrm { r } = 9\)

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Definitions:

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The total amount of tax paid by individuals or businesses, often expressed as a percentage of income or economic output.

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A compulsory financial charge or some other type of levy placed upon a taxpayer by a governmental organization.

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A graphical representation that shows the relationship between the price of a good and the quantity supplied over a certain period of time, typically upward sloping.