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

Question

Quizplus · Accepted Answer

Rearranging the given equation to the standard form of an ellipse, $\frac{x^2}{9} + \frac{y^2}{25} = 1$, shows that the semi-major axes lengths are $\sqrt{9} = 3$ and $\sqrt{25} = 5$, corresponding to the $x$- and $y$-intercepts respectively.

Match the Equation of the Ellipse with the Appropriate Description x29=1−y225\frac { x ^ { 2 } } { 9 } = 1 - \frac { y ^ { 2 } } { 25 }9x2​=1−25y2​

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