Identify the Center and Radius of the Circle $$x ^ { 2 } + 9 x + y ^ { 2 } - \frac { 3 } { 2 } y = 10$$

question 3

Multiple Choice

Identify the center and radius of the circle. $$x ^ { 2 } + 9 x + y ^ { 2 } - \frac { 3 } { 2 } y = 10$$

• A) Center: \(\left( \frac { 9 } { 2 } , \frac { 3 } { 2 } \right) ; r = 10\)
• B) Center: \(\left( - \frac { 9 } { 2 } , \frac { 3 } { 4 } \right) ; r = \frac { \sqrt { 493 } } { 4 }\)
• C) Center: \(\left( - 9 , \frac { 3 } { 2 } \right) ; r = \sqrt { 10 }\)
• D) Center: \(\left( \frac { 3 } { 4 } , - \frac { 1 } { 16 } \right) ; r = 2 \sqrt { 2 }\)

---

Definitions:

Personal Characteristics

The distinct attributes or traits that define an individual's personality and behavior.

Labor Union

An organization of workers formed to protect and advance their rights and interests.

Negotiated Wage

The result of collective bargaining between employers and employees (or their representatives), resulting in agreed-upon salaries.

Widget Industry

A generic term often used to refer to any industry producing unspecified or hypothetical products for illustrative examples in discussions.