Find the Eccentricity E of the Ellipse $\frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 6 } = 1$

question 151

Multiple Choice

Find the eccentricity e of the ellipse.
-An elliptical riding path is to be built on a rectangular piece of property that measures 10 mi by 6 mi. Find an equation for the ellipse if the path is to touch the center of the property line on all 4
Sides

• A) \(\frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 6 } = 1\)
• B) \(\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 100 } = 1\)
• C) \(\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 25 } = 1\)
• D) \(\frac { x ^ { 2 } } { 100 } + \frac { y ^ { 2 } } { 9 } = 1\)

---

Definitions:

Social Scientists

Researchers or experts who study human society and social relationships through disciplines such as sociology, anthropology, and psychology.

Color-Blind Society

An idealized societal concept where individuals do not judge or discriminate against others based on their skin color or racial background.

White Skin Color

A description of the lighter pigmentation of the skin, often associated with people of European descent.

Family Group

A social unit consisting of people related by blood, marriage, or adoption, living together or maintaining close emotional ties.