Match the equation of the ellipse with the appropriate description.
-$$\frac { x ^ { 2 } } { 25 } = 1 - \frac { y ^ { 2 } } { 9 }$$
A) $x$-intercepts $( 25,0 ) , ( - 25,0 ) ;$ y-intercepts $( 0,3 ) , ( 0 , - 3 )$
B) $x$-intercepts $( 5,0 ) , ( - 5,0 )$; y-intercepts $( 0,3 ) , ( 0 , - 3 )$
C) $x$-intercepts $( 9,0 ) , ( - 9,0 ) ; y$-intercepts $( 0,25 ) , ( 0 , - 25 )$
D) $x$-intercepts $( 3,0 ) , ( - 3,0 )$; $y$-intercepts $( 0,5 , ( 0 , - 5 )$

Question

Quizplus · Accepted Answer

The correct equation for the ellipse is $\frac{x^2}{25} + \frac{y^2}{9} = 1$, which means the semi-major axis along the x-axis is $\sqrt{25} = 5$ and the semi-minor axis along the y-axis is $\sqrt{9} = 3$, leading to x-intercepts at $(5,0)$ and $(-5,0)$, and y-intercepts at $(0,3)$ and $(0,-3)$.

Match the Equation of the Ellipse with the Appropriate Description x225=1−y29\frac { x ^ { 2 } } { 25 } = 1 - \frac { y ^ { 2 } } { 9 }25x2​=1−9y2​

Match the Equation of the Ellipse with the Appropriate Description $\frac { x ^ { 2 } } { 25 } = 1 - \frac { y ^ { 2 } } { 9 }$