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GiggleSquid
 3 years ago
One focus is at (5,11.94). Find the other focus for the ellipse defined by this equation: (x5)^2/1 + (y+4)^2/64=1
GiggleSquid
 3 years ago
One focus is at (5,11.94). Find the other focus for the ellipse defined by this equation: (x5)^2/1 + (y+4)^2/64=1

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telliott99
 3 years ago
Best ResponseYou've already chosen the best response.1The ellipse is centered at 5,4 The minor axis is 2a with a = 1 The major axis is 2b with b = sqrt(64) = 8. Have to look up for the foci again.

GiggleSquid
 3 years ago
Best ResponseYou've already chosen the best response.0so the major axis is 2 x 8 or is it just 8, thanks for the help btw

telliott99
 3 years ago
Best ResponseYou've already chosen the best response.1The foci are at sqrt(b^2  a^2) = 7.937, have to compute the offsets based on the origin.

telliott99
 3 years ago
Best ResponseYou've already chosen the best response.1I think the terminology is major axis = 2 x 8 semimajor axis = 8

telliott99
 3 years ago
Best ResponseYou've already chosen the best response.1study up :) http://en.wikipedia.org/wiki/Ellipse

GiggleSquid
 3 years ago
Best ResponseYou've already chosen the best response.0so how do i get the y value for the foci, the x being 7.937 right?

telliott99
 3 years ago
Best ResponseYou've already chosen the best response.1Offsets: foci are at x = 5 yvalues are 4 +/ 7.937 = 11.937, 3.937

telliott99
 3 years ago
Best ResponseYou've already chosen the best response.1This ellipse has its long dimension vertical.

GiggleSquid
 3 years ago
Best ResponseYou've already chosen the best response.0so its 11.937,3.937?

telliott99
 3 years ago
Best ResponseYou've already chosen the best response.1Those are the y's. (5,11.937) and (5,3.937)

telliott99
 3 years ago
Best ResponseYou've already chosen the best response.1Maybe I didn't say that clearly. Because the ellipse is oriented vertically (y stretched more), the foci have the same xvalue, which is equal to the origin, 5. The foci are +/ sqrt(63) see above with respect to the yvalue of the origin, which is 4, so that gives what I said.
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