Match the equation of the ellipse with the appropriate description.
-$$\frac { x ^ { 2 } } { 49 } = 1 - \frac { y ^ { 2 } } { 25 }$$
A) x-intercepts $( 25,0 ) , ( - 25,0 ) ; y$-intercepts $( 0,49 ) , ( 0 , - 49 )$
B) x-intercepts $( 5,0 ) , ( - 5,0 )$; y-intercepts $( 0,7 , ( 0 , - 7 )$
C) $x$-intercepts $( 7,0 ) , ( - 7,0 )$; y-intercepts $( 0,5 ) , ( 0 , - 5 )$
D) x-intercepts $( 49,0 ) , ( - 49,0 )$; y-intercepts $( 0,5 ) , ( 0 , - 5 )$

Question

Quizplus · Accepted Answer

The given equation can be rewritten as $\frac{x^2}{7^2} + \frac{y^2}{5^2} = 1$, indicating an ellipse centered at the origin with semi-major axis 7 along the x-axis and semi-minor axis 5 along the y-axis, leading to the intercepts given in option C.

Match the Equation of the Ellipse with the Appropriate Description x249=1−y225\frac { x ^ { 2 } } { 49 } = 1 - \frac { y ^ { 2 } } { 25 }49x2​=1−25y2​

Match the Equation of the Ellipse with the Appropriate Description $\frac { x ^ { 2 } } { 49 } = 1 - \frac { y ^ { 2 } } { 25 }$