Find the Center and Foci of the Ellipse $$\frac { ( x - 2 ) ^ { 2 } } { 45 } + \frac { ( y - 8 ) ^ { 2 } } { 81 } = 1$$

question 14

Multiple Choice

Find the center and foci of the ellipse.​ $$\frac { ( x - 2 ) ^ { 2 } } { 45 } + \frac { ( y - 8 ) ^ { 2 } } { 81 } = 1$$ ​

• A)center: \(( - 2 , - 8 )\) ;foci: \(( - 2 , - 14 ) , ( - 2 , - 2 )\)
• B)center: \(( 2,8 )\) ;foci: \(( 2,2 ) , ( 2,14 )\)
• C)center: \(( 2,8 )\) ;foci: \(( 14,8 ) , ( 8,8 )\)
• D)center: \(( - 2 , - 8 )\) ;foci: \(( - 8,8 ) , ( - 14,8 )\)
• E)center: \(( 2,8 )\) ;foci: \(( - 8 , - 8 ) , ( - 14 , - 8 )\)

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Definitions:

Depressive Disorders

A category of mood disorders characterized by persistent feelings of sadness, emptiness, or hopelessness.

Personal Flaws

Characteristics or attributes of an individual considered as imperfections or shortcomings.

Pessimistic Explanatory Style

A tendency to blame oneself for negative events, believe such events will continue, and think they affect many aspects of life.

Depression

Characterized by an ongoing depressive state or diminished pleasure in everyday activities, this mental disorder severely impacts an individual's life.