Find an Equation for the Conic Whose Graph Is Shown $\frac { y ^ { 2 } } { 9 } - \frac { x ^ { 2 } } { 25 } = 1$

question 44

Multiple Choice

Find an equation for the conic whose graph is shown.

• A) \(\frac { y ^ { 2 } } { 9 } - \frac { x ^ { 2 } } { 25 } = 1\)
• B) \(\frac { y ^ { 2 } } { 25 } - \frac { x ^ { 2 } } { 16 } = 1\)
• C) \(\frac { y ^ { 2 } } { 9 } - \frac { x ^ { 2 } } { 16 } = 1\)
• D) \(\frac { x ^ { 2 } } { 9 } - \frac { y ^ { 2 } } { 25 } = 1\)
• E) \(9 y ^ { 2 } - \frac { x ^ { 2 } } { 16 } = 1\)

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Definitions:

Free Goods

Items or services available in abundance without direct cost, such as air or sunlight, not requiring scarce resources for their production.

Scarce Resources

Refers to the limited availability of inputs—such as labor, capital, and raw materials—used in the production of goods and services.

Economist

A professional who studies the production, distribution, and consumption of goods and services, often analyzing economic issues and trends.

Scarcity of Time

A situation where the amount of time available is insufficient to meet demands or complete tasks.