SOLUTION: what is the lenght of the major axis of the ellipse 3x(2power)+4y(2power)=12?

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Question 214701: what is the lenght of the major axis of the ellipse 3x(2power)+4y(2power)=12?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Given the equation for an ellipse, find the length of the major axis:
3x%5E2%2B4y%5E2+=+12 Re-arrange this to the standard form of the equation of an ellipse with major axis on the x-axis:%28x%5E2%2Fa%5E2%29%2B%28y%5E2%2Fb%5E2%29+=+1 where a = the semi-major axis and b = the semi-minor axis.
3x%5E2%2B4y%5E2+=+12 Divide both sides by 12.
%283x%5E2%2F12%29%2B%284y%5E2%2F12%29+=+1 Simplify the left side.
%28x%5E2%2F4%29%2B%28y%5E2%2F3%29+=+1 Compare with the standard form:
%28x%5E2%2Fa%5E2%29%2B%28y%5E2%2Fb%5E2%29+=+1
a%5E2+=+4 Take the square root of both sides.
a+=+2 This is the length of the semi-major axis.
2a+=+4 This is the length of the major axis.