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anonymous
 one year ago
I need help writing equations for ellipses when I am given information. I am doing a review for a Clep exam and I am completely blanking. Please Help!!!
anonymous
 one year ago
I need help writing equations for ellipses when I am given information. I am doing a review for a Clep exam and I am completely blanking. Please Help!!!

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok... My first question is this: Write the equation of an ellipse with center (2,1); vertex (7,1) and focus (5,1). I know that this is how I start, knowing the center, but what next: \[\frac{ (x2)^2 }{ ? } + \frac{ (y1)^2 }{ ? } = 1\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Hi @mathmate can you help?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0SOMEONE PLEASE HELP ME!!!!!!!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1dw:1439810100002:dw For an ellipse centred at origin, f=sqrt(a^2b^2)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0OK how to I find a^2 and b^2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0And my center is not at the origin btw, but thats ok

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Since F is on the xaxis, "a" is the distance of the vertex (along the xaxis) from the centre, so a=(72)=5. F is at (52)=3 units along the xaxis from the centre, so f=3. B is on the yaxis, at a distance b=sqrt(a^2f^2) (same as f=sqrt(a^2b^2)). The ellipse is shown in the diagram. The centre elsewhere is easy to adjust, as you have already done.
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