Convert the Equation to the Standard Form for an Ellipse $$25 x ^ { 2 } + 36 y ^ { 2 } - 50 x - 216 y - 551 = 0$$

question 61

Multiple Choice

Convert the equation to the standard form for an ellipse by completing the square on x and y.
- $$25 x ^ { 2 } + 36 y ^ { 2 } - 50 x - 216 y - 551 = 0$$

• A) \(\frac { ( x - 1 ) ^ { 2 } } { 36 } + \frac { ( y - 3 ) ^ { 2 } } { 25 } = 1\)
• B) \(\frac { ( x - 3 ) ^ { 2 } } { 36 } + \frac { ( y - 1 ) ^ { 2 } } { 25 } = 1\)
• C) \(\frac { ( x - 1 ) ^ { 2 } } { 25 } + \frac { ( y - 3 ) ^ { 2 } } { 36 } = 1\)
• D) \(\frac { ( x + 1 ) ^ { 2 } } { 36 } + \frac { ( y + 3 ) ^ { 2 } } { 25 } = 1\)

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Definitions:

Inelastic

A characteristic of a good or service whose quantity demanded or supplied changes by a smaller percentage than changes in price.

Sensitive

Capable of perceiving with the senses or responsive to stimuli or changes in the environment.

Demand

The desire to purchase goods and services backed by the ability and willingness to pay a price.

Economic Theory

A set of principles that explain how economic processes work, guiding the analysis of economic behavior and decision-making.