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:

Using Drugs

Using drugs typically refers to the consumption or administration of substances that alter physiological or psychological functions in the body, which can range from therapeutic medications to illicit drug use.

Humans

Refers to the species Homo sapiens, characterized by their ability to use complex language, tools, and engage in social structures.

Major Depression

A psychiatric disorder characterized by persistent feelings of sadness, hopelessness, and loss of interest in daily activities.

SSRIs

Selective Serotonin Reuptake Inhibitors (SSRIs) are a class of drugs used primarily to treat depression by increasing serotonin levels in the brain.