Find an Equation for the Ellipse Described $\frac { ( x - 5 ) ^ { 2 } } { 36 } + \frac { ( y - 2 ) ^ { 2 } } { 9 } = 1$

question 75

Multiple Choice

Find an equation for the ellipse described.
-Vertices at (5, -4) and (5, 8) ; length of minor axis is 6

• A) \(\frac { ( x - 5 ) ^ { 2 } } { 36 } + \frac { ( y - 2 ) ^ { 2 } } { 9 } = 1\)
• B) \(\frac { ( x + 5 ) ^ { 2 } } { 36 } + \frac { ( y + 2 ) ^ { 2 } } { 9 } = 1\)
• C) \(\frac { ( x - 5 ) ^ { 2 } } { 9 } + \frac { ( y - 2 ) ^ { 2 } } { 36 } = 1\)
• D) \(\frac { ( x + 5 ) ^ { 2 } } { 9 } - \frac { ( y + 2 ) ^ { 2 } } { 36 } = 1\)

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Definitions:

Budget Constraint

The limitation on the consumption bundles that a consumer can afford given their income and the prices of goods.

Optimum Market Basket

The combination of goods and services that maximizes a consumer’s utility for a given income and prices, representing the most preferred point on their budget line.

Indifference Curves

Graphical representations in microeconomics showing combinations of two goods that give a consumer equal satisfaction and utility.

Commodity Space Diagram

A graphical representation used in economics to show all possible combinations of two goods that an economy can produce using all available resources and technology.