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

question 216

Multiple Choice

Find the center (h, k) and radius r of the circle with the given equation.
- $$3 ( x + 2 ) ^ { 2 } + 3 ( y + 3 ) ^ { 2 } = 36$$

• A) \(( \mathrm { h } , \mathrm { k } ) = ( - 2 , - 3 ) ; \mathrm { r } = 6 \sqrt { 3 }\)
• B) \(( h , k ) = ( 2,3 ) ; r = 6 \sqrt { 3 }\)
• C) \(( \mathrm { h } , \mathrm { k } ) = ( - 2 , - 3 ) ; \mathrm { r } = 2 \sqrt { 3 }\)
• D) \(( h , k ) = ( 2,3 ) ; r = 2 \sqrt { 3 }\)

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Definitions:

Attraction Structures

might refer to the underlying factors or elements that determine the attractiveness or appeal between individuals or within groups, though the term is not widely recognized.

Nonreciprocal

Pertains to a relationship or interaction where one party contributes or participates more than the other.

Transitive

In logic and mathematics, a relation is transitive if it holds that whenever relation A relates to B, and B relates to C, then A must relate to C.

Unbalanced

Lacking equilibrium or stability in terms of emotional state, workload, resource distribution, or other areas affecting individuals or groups.