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

question 84

Multiple Choice

Find the center (h, k) and radius r of the circle with the given equation.
- $$( x + 5 ) ^ { 2 } + ( y + 6 ) ^ { 2 } = 144$$

• A) \(( h , k ) = ( - 5 , - 6 ) ; r = 12\)
• B) \(( h , k ) = ( - 5 , - 6 ) ; r = 144\)
• C) \(( h , k ) = ( - 6 , - 5 ) ; r = 144\)
• D) \(( \mathrm { h } , \mathrm { k } ) = ( - 6 , - 5 ) ; \mathrm { r } = 12\)

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Definitions:

Family Structure

The social organization of a family. Most commonly, the structure is nuclear or extended.

Family Dynamics

The patterns of interactions and relationships within a family system, influenced by individual behaviors and broader social and cultural contexts.

Extended Family

A family group that extends beyond the nuclear family, including grandparents, aunts, uncles, and other relatives.

Nuclear Family

A family unit that comprises two parents and their children, considered the traditional family structure.