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

question 112

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:

Direct Correlation

A positive relationship between two variables where an increase in one variable results in an increase in the other.

Indirect Correlation

A relationship between two variables where as one variable increases, the other decreases, and vice versa.

Correlation Coefficient

A quantitative metric that determines the strength and orientation of the link between two variables.

Study Time

The duration spent on academic or educational activities outside of formal classroom instruction, aimed at understanding or learning material.