SOLUTION: Find the Standard Form of the equation of the ellipse with the given characteristics and center at the origin.
Characteristics: Foci: (plus & minus 5, 0) , Major axis of length 12
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-> SOLUTION: Find the Standard Form of the equation of the ellipse with the given characteristics and center at the origin.
Characteristics: Foci: (plus & minus 5, 0) , Major axis of length 12
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Question 771118: Find the Standard Form of the equation of the ellipse with the given characteristics and center at the origin.
Characteristics: Foci: (plus & minus 5, 0) , Major axis of length 12
HELP?! Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! Find the Standard Form of the equation of the ellipse with the given characteristics and center at the origin.
Characteristics: Foci: (plus & minus 5, 0) , Major axis of length 12
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Given ellipse has a horizontal major axis.
Its standard form of equation: , a>b, (h,k)=(x,y) coordinates of center.
For given ellipse:
Given center: (0,0)
Given length of horizontal major axis=12=2a
a=6
a^2=36
c=5 (distance from center to foci)
c^2=25
c^2=a^2-b^2
b^2=a^2-c^2=36-25=11
Equation of given ellipse:
(