Solve the Problem $\frac { x ^ { 2 } } { 100 } + \frac { y ^ { 2 } } { 4 } = 1$

question 188

Multiple Choice

Solve the problem.
-An elliptical riding path is to be built on a rectangular piece of property that measures 10 mi by 4 mi. Find an equation for the ellipse if the path is to touch the center of the property line on all 4
Sides

• A) \(\frac { x ^ { 2 } } { 100 } + \frac { y ^ { 2 } } { 4 } = 1\)
• B) \(\frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 4 } = 1\)
• C) \(\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 25 } = 1\)
• D) \(\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 100 } = 1\)

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Definitions:

Preoperational Stage

A stage in Jean Piaget's theory of cognitive development, occurring from approximately age 2 to 7, characterized by symbolic thinking, egocentrism, and a lack of logical reasoning.

Stage Theory

A theory suggesting that development occurs in distinct stages, each characterized by specific conflicts or challenges.

Specified Age

Refers to a particular age or age range that has been defined or determined for a specific purpose or study.

Sensorimotor Stage

The sensorimotor stage is the first of Piaget's stages of cognitive development, where infants learn about the world through their senses and motor activities.