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Kay [80]
3 years ago
8

What is the length of the major axis? x^2/16+y^2/25=1

Mathematics
1 answer:
tia_tia [17]3 years ago
6 0
The general equation of an ellipse is 

 x^2         y^2
 ---      +   ----    = 1
 a^2         b^2     

where a or b is the semi-major axis depending on values of a^2 and b^2.

So for our ellipse major axis = 2b and b^2 = 25 and b = 5

And major axis = 2b = 2*5 = 10 answer.
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Answer:

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x^2 + (3 x)/2 = -1

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x^2 + (3 x)/2 + 9/16 = -7/16

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Subtract 3/4 from both sides:

Answer:  x = (i sqrt(7))/4 - 3/4 or x = -(i sqrt(7))/4 - 3/4

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