Rewrite the Equation in Standard Form $$x ^ { 2 } + y ^ { 2 } - 12 y + 20 = 0$$

question 49

Multiple Choice

Rewrite the equation in standard form. Find the center and radius of the circle.
- $$x ^ { 2 } + y ^ { 2 } - 12 y + 20 = 0$$

• A) \(x ^ { 2 } + ( y + 6 ) ^ { 2 } = 16\)
• center \(( 0 , - 6 ) , \mathrm { r } = 4\)
• B) \(x ^ { 2 } + ( y - 6 ) ^ { 2 } = 16\)
• center \(( 0,6 ) , \mathrm { r } = 4\)
• C) \(( x - 6 ) ^ { 2 } + y ^ { 2 } = 16\)
• center \(( 6,0 ) , \mathrm { r } = 4\)
• D) \(x ^ { 2 } + ( y - 6 ) ^ { 2 } = 16\)
• center \(( 0 , - 6 ) , \mathrm { r } = 4\)

---

Definitions:

Alcohol Addiction

A chronic disease characterized by the compulsive use of alcohol despite adverse consequences.

Psychosocial Variable

An element that influences individuals psychologically and socially, affecting health and behavior.

Health Beliefs

The personal views individuals hold about their health, which influence their health-related behaviors and decision-making.

Rheumatoid Arthritis

A chronic inflammatory disorder affecting joints, causing pain, swelling, and deformity, primarily in wrists and fingers.