Write the Given Equation in the Form $$( x - h ) ^ { 2 } + ( y - k ) ^ { 2 } = r ^ { 2 }$$

question 185

Multiple Choice

Write the given equation in the form $$( x - h ) ^ { 2 } + ( y - k ) ^ { 2 } = r ^ { 2 }$$ . Identify the center and radius.
- $$x ^ { 2 } + y ^ { 2 } - 8 y + 11 = 0$$

• A) Center: \(( 0 , - 4 ) ; r = 5\)
• B) Center: \(( 0,8 ) ; r = 11\)
• C) Center: \(( 0,4 ) ; r = \sqrt { 5 }\)
• D) Center: \(( 0 , - 8 ) ; r = 11\)

---

Definitions:

Long-Run Average Cost

The average cost per unit of output where all inputs, including capital, are variable in the long term.

Marginal Cost

The costs entailed in generating an extra unit of a product or service.

Economies of Scale

The reduction in per-unit production costs resulting from an increase in the scale of production.

Service Provider

A company or an individual that offers services to others in exchange for payment, such as telecommunications, utilities, or healthcare.