Find an Equation in Standard Form for the Ellipse That $\frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 81 } = 1$

question 155

Multiple Choice

Find an equation in standard form for the ellipse that satisfies the given conditions.
-The horizontal major axis is of length 18 , and the minor axis is of length 10 .

• A) \(\frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 81 } = 1\)
• B) \(\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 5 } = 1\)
• C) \(\frac { x ^ { 2 } } { 81 } + \frac { y ^ { 2 } } { 25 } = 1\)
• D) \(\frac { x ^ { 2 } } { 5 } + \frac { y ^ { 2 } } { 9 } = 1\)

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Definitions:

Slither

A movement type characterized by sliding or gliding smoothly over a surface, commonly associated with snakes.

Creep

The slow, continuous, gradual movement of soil, earth, or rock down a slope due to gravity.

Elevate

To elevate means to raise something to a higher position or level, physically or metaphorically.

Friction

A force that opposes the movement of two surfaces that are in contact with each other.