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Find the equation of the ellipse with the following properties. The ellipse with x-intercepts at (4, 0) and (-4, 0), y-intercepts at (0, 9) and (0, -9), and center at (0, 0).
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Find the equation of the ellipse with the following properties. The ellipse with x-intercepts at (4, 0) and (-4, 0), y-intercepts at (0, 9) and (0, -9), and center at (0, 0).
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Feb 7, 2018
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Find the equation of the ellipse with the following properties.
The ellipse with x-intercepts at (4, 0) and (-4, 0), y-intercepts at (0, 9) and (0, -9), and center at (0, 0).
Mathematics
high-school
Duncan
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Duncan
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check the picture below
so.. hmm notice the center h,k and the major and minor axis components, thus just plug them in.
Maj
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Feb 8, 2018
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The equation of an ellipse where the major axis 2a is greater than the minor 2b
(x-h)²/a² + (y-k)²/b² =1.
When 2b>2a , then the equation becomes (y-h)²/b² + (x-k)²/a² =1
In our example a = 4 and b = 9. Moreover h=0 and k=0 because the center is on the origin, so the equation becomes:
y²/b² + x²/a² = y²/81 + x²/16 = 1
Dave Welden
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Feb 10, 2018
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Dave Welden
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