anonymous
  • anonymous
Find the vertices and locate the foci for the hyperbola whose equation is given. 49x^2 - 100y^2 = 4900
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
as this is a normal hyperbola, no translation, so to find the vertices, just find the x-intercept.
anonymous
  • anonymous
then change the hyperbola to standard form and use "a" and "b" to find e. the foci are \((\pm ae,0)\)
anonymous
  • anonymous
|dw:1354622303936:dw|

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anonymous
  • anonymous
|dw:1354622474196:dw|
anonymous
  • anonymous
|dw:1354622597920:dw|
anonymous
  • anonymous
My options: A. vertices: ( -10, 0), ( 10, 0) ; foci: (-square root of 51, 0), (square root of 51, 0) B. vertices: ( -10, 0), ( 10, 0) ; foci: (-square root of 149, 0), (square root of 149, 0) C. vertices: ( -7, 0), ( 7, 0) ; foci: (-square root of 149, 0), (square root of 149, 0) D. vertices: (0, -10), (0, 10) ; foci: (0, -square root of 149), (0, square root of 149)
anonymous
  • anonymous
I believe you've solved the intercepts?
anonymous
  • anonymous
b
anonymous
  • anonymous
thank you very much
anonymous
  • anonymous
thanks sister
anonymous
  • anonymous
ok sister.

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