Find the Standard Form of the Equation of the Ellipse $( 0,4 ) , ( 8,4 )$

question 151

Multiple Choice

Find the standard form of the equation of the ellipse with the given characteristics.
Vertices: $( 0,4 ) , ( 8,4 )$ ; minor axis of length 10.

• A) \(\frac { ( x + 4 ) ^ { 2 } } { 16 } + \frac { ( y + 4 ) ^ { 2 } } { 25 } = 1\)
• B) \(\frac { ( x - 4 ) ^ { 2 } } { 16 } + \frac { ( y - 4 ) ^ { 2 } } { 25 } = 1\)
• C) \(\frac { ( x + 4 ) ^ { 2 } } { 16 } + \frac { ( y - 4 ) ^ { 2 } } { 25 } = 1\)
• D) \(\frac { ( x - 4 ) ^ { 2 } } { 16 } + \frac { ( y + 4 ) ^ { 2 } } { 25 } = 1\)
• E) \(\frac { ( x - 4 ) ^ { 2 } } { 16 } - \frac { ( y - 4 ) ^ { 2 } } { 25 } = 1\)

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Definitions:

Quantity Produced

Indicates the total amount of goods or services produced by a company during a specific period.

Cross-Price Elasticity

A measure of the responsiveness in the quantity demanded of one good due to a price change in another good.

Break-Even Point

The point at which total costs and total revenue are equal, meaning that there is no net loss or gain, and one has "broken even."

Fixed Costs

Fixed costs that are unaffected by production or sales volume, like rent, employee salaries, and insurance fees.