Find an Equation for the Ellipse Described $\frac { ( x - 2 ) ^ { 2 } } { 81 } + \frac { ( y - 4 ) ^ { 2 } } { 35 } = 1$

question 67

Multiple Choice

Find an equation for the ellipse described.
-Vertices at (-6, 2) and (14, 2) ; focus at (12, 2)

• A) \(\frac { ( x - 2 ) ^ { 2 } } { 81 } + \frac { ( y - 4 ) ^ { 2 } } { 35 } = 1\)
• B) \(\frac { ( x - 4 ) ^ { 2 } } { 144 } - \frac { ( y + 2 ) ^ { 2 } } { 44 } = 1\)
• C) \(\frac { ( x - 4 ) ^ { 2 } } { 100 } + \frac { ( y - 2 ) ^ { 2 } } { 36 } = 1\)
• D) \(\frac { ( x + 4 ) ^ { 2 } } { 64 } + \frac { ( y + 2 ) ^ { 2 } } { 36 } = 1\)

---

Definitions:

Part-time Jobs

Employment positions that require working hours fewer than a full-time schedule, often offering flexibility but fewer benefits.

Underage Party

A social gathering involving individuals who are below the legal age for certain activities, often including the consumption of alcohol.

Police Officer

A member of a police force or law enforcement agency tasked with enforcing laws, maintaining public order, and protecting citizens and their property.

Indifferent

Describes a state or attitude of having no particular interest or sympathy; being unconcerned or unresponsive toward something.