SOLUTION: How would I find the equation of an ellipse if I am give the foci(5,0) and (-5,0) and the length of major axis is 12

Question 568943: How would I find the equation of an ellipse if I am give the foci(5,0) and (-5,0) and the length of major axis is 12
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
How would I find the equation of an ellipse if I am give the foci(5,0) and (-5,0) and the length of major axis is 12
**
Standard form of equation for ellipse with horizontal major axis:
(x-h)^2/a^2+(y-k)^2/b^2=1,a>b, (h,k) being the (x,y) coordinates of the center.
..
center: (0,0)
length of major axis=12=2a
a=6
a^2=36
..
c=5
c^2=25
..
c^2=a^2-b^2
b^2=a^2-c^2=36-25=11
..
Equation of given ellipse:
x^2/36+y^2/11=1

RELATED QUESTIONS
Find an equation for the ellipse with center(5, 0),foci(5, �4)and major axis of length... (answered by MathLover1)

Find the equation of the ellipse whose length of the major axis is 20 and foci are (0,... (answered by lwsshak3)

Write the equation of an ellipse with foci (0, 18) and (0, �12) and major axis length 34. (answered by lwsshak3)

Find the standard form of the equation of the ellipse with the given characteristics and... (answered by pavan sai reddy,greenestamps)

how can i find out the equation for ellipse when i have foci and length of major axis is... (answered by KMST,ikleyn)

Find an equation for the ellipse with center (3, 0), foci (3, �2) and major axis... (answered by KMST)

write the equation of an ellipse given foci (1,-4) (5,-4) and major axis endpoints (0,-4) (answered by lwsshak3)

Find the standard form of the equation of the ellipse with the given characteristics and... (answered by MathLover1)

Find the equation in standard form of the ellipse with foci (0,5) and (0,-5) and major... (answered by KMST)