anonymous
  • anonymous
Find the vertices and foci of the hyperbola with equation
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
anonymous
  • anonymous
\[a^2=36, b^2=64\] \[c^2=b^2-a^2\]
anonymous
  • anonymous
focal F(c,0)

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Mertsj
  • Mertsj
The center is (-5,-1) For a hyperbola, a^2+b^2=c^2, so c = 10 for this hyperbola. That is important because the focal points are c units to the right and c units to the left of the center. Also a^2=36 so a = 6. This is important because the vertices are a units to the right and a units to the left of the center.
anonymous
  • anonymous
Thank you both! @jonask @Mertsj

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