SOLUTION: A standard form equation for the ellipse with foci (0,+ or - 3)and major axis length 10 is?
Algebra.Com
Question 482101: A standard form equation for the ellipse with foci (0,+ or - 3)and major axis length 10 is?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A standard form equation for the ellipse with foci (0,+ or - 3)and major axis length 10 is?
**
Standard form of an equation for an ellipse with vertical major axis: (x-h)^2/b^2+(y-k)^2/a^2=1, a>b, (h,k) being the (x,y) coordinates of the center.
For given equation:
center: (0,0)
given length of major axis=10=2a
a=5
a^2=25
..
Foci:
c=3
c^2=a^2-b^2
b^2=a^2-c^2=25-9=16
..
Equation:
x^2/16+y^2/25=1
RELATED QUESTIONS
The standard form equation for the ellipse with major axis endpoints (+ or - 5, 0) and... (answered by lwsshak3)
Find an equation for the ellipse with center
(3, 0),
foci
(3, ±2)
and major axis... (answered by KMST)
What is the equation of an ellipse with foci at (-6,-3),(0,-3) and a major axis of length (answered by ikleyn)
Find an equation for the ellipse with center(5, 0),foci(5, ±4)and major axis of length... (answered by MathLover1)
Equation (in graphing form) for ellipse with foci points (5,4) and (-3,4) and the major... (answered by lwsshak3,ewatrrr)
Find the standard form of the equation of the ellipse with the given characteristics?
(answered by greenestamps)
Write the equation of an ellipse with foci at (-6,-3) (0,-1) and a major axis of length... (answered by ikleyn)
Find the standard form of the equation of the ellipse with the given characteristics and... (answered by pavan sai reddy,greenestamps)
Find the standard form of the equation of the ellipse with the given characteristics and... (answered by MathLover1)