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Question 553701: write an equation for an ellipse with major axis of length 12 and foci at (7,2) and (1,2).
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! write an equation for an ellipse with major axis of length 12 and foci at (7,2) and (1,2)
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This is an equation of an ellipse with horizontal major axis of the standard form:
(x-h)^2/a^2+(y-k)^2/b^2=1
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x-coordinate of center=midpoint between foci=(7+1)/2=4
y-coordinate of center=2
center: (4,2)
length of horizontal major axis=12=2a
a=6
a^2=36
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c=half the distance between foci=6/2=3
c^2=9
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c^2=a^2-b^2
b^2=a^2-c^2=36-9=25
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Equation:
(x-4)^2/36+(y-2)^2/25=1
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