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:

Initial Margin

The minimum amount of funds required to open a new position in a securities or futures contract, intended to cover some of the credit risk of market participants.

Primary Market

The financial market for new securities issues, where companies sell new stocks and bonds directly to investors.

Investment Bankers

Firms specializing in the sale of new securities to the public, typically by underwriting the issue.

Initial Margin

The initial deposit required when trading securities or derivatives, serving as a guarantee against potential losses.