SOLUTION: what are the foci of the graph(y^(2))/(100)-(x^(2))/(34)=1?

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Question 633806: what are the foci of the graph(y^(2))/(100)-(x^(2))/(34)=1?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

%28y%5E%282%29%29%2F%28100%29-%28x%5E%282%29%29%2F%2834%29=1

  C(0,0), 

F%5Bd%5D+=+sqrt%28100%2B34%29+=+sqrt%28134%29 

Foci (0±sqrt%28134%29, 0) 

Standard Form of an Equation of an Hyperbola opening up and down is:

  %28y-k%29%5E2%2Fb%5E2+-+%28x-h%29%5E2%2Fa%5E2+=+1 with C(h,k) and vertices 'b' units up and down from center,  2b the length of the transverse axis

Foci sqrt%28a%5E2%2Bb%5E2%29units units up and down from center, along x = h

& Asymptotes Lines passing thru C(h,k), with slopes m =  ± b/a