Find an equation for the ellipse described.
-Center $( 0,0 )$; major axis horizontal with length 10 ; length of minor axis is 4
A) $\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 9 } = 1$
B) $\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 4 } = 1$
C) $\frac { x ^ { 2 } } { 6 } + \frac { y ^ { 2 } } { 4 } = 1$
D) $\frac { x ^ { 2 } } { 100 } + \frac { y ^ { 2 } } { 16 } = 1$

Question

Quizplus · Accepted Answer

The equation of an ellipse with a horizontal major axis is $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$, where $a$ is half the length of the major axis and $b$ is half the length of the minor axis. Here, $a = 5$ and $b = 2$, so the equation is $\frac{x^2}{25} + \frac{y^2}{4} = 1$.

Find an Equation for the Ellipse Described (0,0)( 0,0 )(0,0) ; Major Axis Horizontal with Length 10 ; Length of )

Find an Equation for the Ellipse Described $( 0,0 )$ ; Major Axis Horizontal with Length 10 ; Length of )