Find the Center and Radius of the Circle $x ^ { 2 } - 10 x + 25 + y ^ { 2 } + 14 y + 49 = 36$

question 132

Multiple Choice

Find the center and radius of the circle.
- $x ^ { 2 } - 10 x + 25 + y ^ { 2 } + 14 y + 49 = 36$

• A) \(( 7 , - 5 ) , r = 36\)
• B) \(( - 7,5 ) , r = 6\)
• C) \(( 5 , - 7 ) , r = 6\)
• D) \(( - 5,7 ) , r = 36\)

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Definitions:

Marginal Utility

The change in total utility a person derives from consuming an additional unit of a good or service.

Total Utility

The overall satisfaction or benefit a person receives from consuming a certain amount of goods or services.

Utility Maximization

The principle that individuals or firms seek to allocate their resources in a manner that maximizes their satisfaction or utility.

Money Income

Money income is the total amount of money earnings received by an individual or household, including wages, salaries, benefits, and investment income, before any deductions.