+0  
 
+1
45
1
avatar+467 

Find the distance between the foci of the hyperbola

 Dec 7, 2020
 #1
avatar+114221 
+1

x^2          y^2

___  -   _____  =     2

50           22

 

Divide through  by   2

 

x^2               y^2

____  -       ____   =  1

100              44

 

The hyperbola  has a center  at (0, 0 )

 

c =  sqrt  [  100  + 44]  =  sqrt [ 144] =  12

 

So....the foci  are  ( 12  , 0 )   and  ( -12 , 0)  

 

2c  =the distance  between the  foci  =  

 

2  ( 12  )   =

 

24

 

cool cool cool

 Dec 7, 2020
edited by CPhill  Dec 7, 2020
edited by CPhill  Dec 7, 2020

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