Find an equation in standard form for the ellipse with the vertical major axis of length 16 and minor axis of length 10. (5 points) x squared divided by 5 plus y squared divided…

Question

asked Jun 4, 2020 59.7k views

2 Answers

Mario Francois · Answer 1 · 2020-06-09T11:15:31+0000

Answer:

(x^2)/(25)+(y^2)/(64)=1

Explanation:

If the ellipse has a vertical major axis of length 16, then

2a=16

$\Rightarrow a=8$

If the ellipse has the length of the minor axis to be 10, then;

2b=10

$\Rightarrow b=5$

The equation of the ellipse is given by;

(x^2)/(b^2)+(y^2)/(a^2)=1

Thus;

(x^2)/(5^2)+(y^2)/(8^2)=1

(x^2)/(25)+(y^2)/(64)=1