What is the eccentricity (x^2)/(144)+(y^2)/(169)=1 ?

The eccentricity (x^2)/(144)+(y^2)/(169)=1 is 5/13

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

eccentricity (x^2)/(144)+(y^2)/(169)=1

eccentricity

\frac{5}{13}

Decimal

0.38461 \dots

Solution steps

= \frac{b ^{2} - a ^{2}}{b}

Calculate ellipse properties

\frac{x ^{2}}{144} + \frac{y ^{2}}{169} = 1 :

Ellipse with center

(h, k) = (0, 0), b = 13, a = 12

= \frac{1 3 ^{2} - 1 2 ^{2}}{13}

\frac{1 3 ^{2} - 1 2 ^{2}}{13} = \frac{5}{13}

= \frac{5}{13}

What is the eccentricity (x^2)/(144)+(y^2)/(169)=1 ?
The eccentricity (x^2)/(144)+(y^2)/(169)=1 is 5/13