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

question 205

Multiple Choice

Find the center (h, k) and radius r of the circle with the given equation.
- $$x ^ { 2 } + y ^ { 2 } - 4 x + 8 y = 29$$

• A) \(( \mathrm { h } , \mathrm { k } ) = ( 4 , - 2 ) ; \mathrm { r } = 49\)
• B) \(( \mathrm { h } , \mathrm { k } ) = ( 2 , - 4 ) ; \mathrm { r } = 7\)
• C) \(( \mathrm { h } , \mathrm { k } ) = ( - 2,4 ) ; \mathrm { r } = 49\)
• D) \(( \mathrm { h } , \mathrm { k } ) = ( - 4,2 ) ; \mathrm { r } = 7\)

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Definitions:

Cooperative

An organization formed by individuals to market new products. Individuals in a cooperative pool their resources to gain an advantage in the market.

Crops

Plants cultivated by agriculturalists for use as food, feed, fiber, or fuel.

Trade Name

The name under which a business operates and is known to the public, distinct from the company's legal name.

Franchise

A business arrangement between an owner of a trade name or trademark and a person who sells goods or services under the trade name or trademark.