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anonymous
 5 years ago
What is the equation of an ellipse with foci at (4, 0) and (4, 6) and major axis of 10? I believe my answer is wrong so please help me :)
anonymous
 5 years ago
What is the equation of an ellipse with foci at (4, 0) and (4, 6) and major axis of 10? I believe my answer is wrong so please help me :)

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amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0since the x values there are the same; we now it streches along a y axis parallel line

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0half the distance between foci to find the distance to the center.. 0  6 = 6 6/2 = 3 the center is at (4,3) then

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0i believe "major axis of 10" means the distance from tip to tip; so that leaves us with 5 from center to the outer vertex

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0x^2 y^2  +  = 1 s^2 L^2 L^2 = 5^2 = 25 x^2 y^2  +  = 1 s^2 25 s^2 = Maj axis distance^2  foci distance^2 s^2 = 5^2  3^2 s^2 = 25  9 = 16  x^2 y^2  +  = 1 16 25 now when x = 0; y = +5, and when y=0 x=+4; but we have to put back over in its original spot; right now its at the origin

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0(x+4)^2 (y+3)^2  +  = 1 16 25

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0the 16 and 25 are backwards :)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0no they arent...y is the major; never mind that idiot in the back of my head :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Here is a ref sheet for ellipses, hyperbolas that might help you

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0wha!?! theres already stuff out for this ;)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Thank you both so much! That all really helped me!! I appreciate all of the help :)
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