Find the Standard-Form Equation of the Ellipse Centered at the Origin

question 61

Multiple Choice

Find the standard-form equation of the ellipse centered at the origin and satisfying the given conditions.
-An ellipse with vertices $( \pm 6,0 )$ and foci at $( \pm 5,0 )$

• A) \(\frac { x ^ { 2 } } { 11 } + \frac { y ^ { 2 } } { 36 } = 1\)
• B) \(\frac { x ^ { 2 } } { 11 } + \frac { y ^ { 2 } } { 61 } = 1\)
• C) \(\frac { x ^ { 2 } } { 11 } + \frac { y ^ { 2 } } { 11 } = 1\)
• D) \(\frac { x ^ { 2 } } { 36 } + \frac { y ^ { 2 } } { 11 } = 1\)

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Definitions:

Normal Rate

A standard or typical rate used as a benchmark or point of reference, often in contexts like interest rates or economic growth rates.

Short Run

A period in which at least one input (such as plant size, machinery) is fixed and cannot be changed by the firm.

Capital Investment

Funds invested in a firm or enterprise for the purpose of furthering its business objectives, including purchasing assets or stocks.

Short-Run

A timeframe in which a company cannot alter at least one of its resources.