SOLUTION: What is the equation of an ellipse with a center at (0,0) (the origin), a vertex at (5,0) and minor axis 4 units long?

Algebra.Com
Question 853652: What is the equation of an ellipse with a center at (0,0) (the origin), a vertex at (5,0) and minor axis 4 units long?
Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
What is the equation of an ellipse with a center at (0,0) (the origin), a vertex at (5,0) and minor axis 4 units long?
***
'
Given ellipse has a horizontal major axis:
Its standard form of equation:, a>b, (h,k)=coordinates of center
a=5 (distance from center to vertices on the major axis)
a^2=25
length of minor axis=4=2b
b=2
b^2=4
Equation:

RELATED QUESTIONS

Find an equation of the ellipse that has center (5,-4) , a minor axis of length 8 , and (answered by ikleyn,MathLover1)
Hey, I need some help with these question because my teacher isn't good at explaining... (answered by solver91311)
what is the equation for the ellipse with foci at (±4, 0) and a minor axis of length 6?... (answered by dfrazzetto)
An ellipse has a vertex at (0, –5), a co-vertex at (–3, 0), and a center at the origin.... (answered by Theo)
An ellipse has a vertex at (0, -5), a co-vertex at (–3, 0), and a center at the origin.... (answered by greenestamps)
An ellipse has a vertex at (4, 0), a co-vertex at (0, 2), and a center at the origin.... (answered by Edwin McCravy)
Write the standard equation of the ellipse with the given properties Horizontal major... (answered by Edwin McCravy,AnlytcPhil,Plocharczyk)
15. find the standard form of the equation of the ellipse with center at the origin,... (answered by lwsshak3)
The perimeter of an ellipse is 28.448 units. Its major axis is 10 units long and is... (answered by greenestamps)