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A hyperbola has one of its foci at $(3, 2),$ and the vertex of the hyperbola closer to this focus is at $(4, 2).$ One of the asymptotes of the hyperbola has slope $\frac{\sqrt2}{2}.$ Find the $x-$coordinate of the center of the hyperbola.

 Mar 17, 2021
 #1
avatar+31 
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https://web2.0calc.com/questions/hyperbola-help_1

 

I think this has been answered before, let me know if I'm wrong :)

 Mar 17, 2021
 #2
avatar+33789 
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Don't know how it was derived....here is a graph:

https://www.desmos.com/calculator/sb0brydioy

 Mar 18, 2021
 #3
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Sorry owentout sorry the form of the answer was requested to be sqrt form, sorry...

 Mar 18, 2021
 #4
avatar+114104 
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Reposts include the address of the original question,.  NOT the question itself.

 Mar 18, 2021

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