anonymous
  • anonymous
how do i find the asymptotes for this hyperbola
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
\[\frac{ (y-6)^2 }{ 9 }-\frac{ (x+5)^2 }{ 25 }=1\]
freckles
  • freckles
I like to do a little drawing first... |dw:1449708816985:dw|
anonymous
  • anonymous
ok

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freckles
  • freckles
|dw:1449708985408:dw|
freckles
  • freckles
the asymptotes are the lines I drew just now and err it was suppose to go through the center of the box there but it looks like it didn't do it very well
freckles
  • freckles
|dw:1449709048048:dw| anyways to find an equation of a line you just need two points on that line
freckles
  • freckles
so first we need to recognize what points I just darkened on that one line
anonymous
  • anonymous
ok
anonymous
  • anonymous
so (-5,6) is one point
freckles
  • freckles
right
anonymous
  • anonymous
im not sure of the other
freckles
  • freckles
the number under the y squared part tells us how far to move up/down with the box and the number under the x squared part tells us how far to move right/left with the box
freckles
  • freckles
\[\frac{(y-6)^2}{3^2}-\frac{(x+5)^2}{5^2}=1\]
freckles
  • freckles
so the 3^2 under the y squared part tells us to move up and down 3 units so the boxes diameter from top to bottom will be 6 and the 5^2 under the x squared part tells us to move right and left 5 units so the boxes diameter from left to right is going to be 10
freckles
  • freckles
|dw:1449709368741:dw|