Meehan98
  • Meehan98
Identifying Conic Sections help, please!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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Meehan98
  • Meehan98
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anonymous
  • anonymous
Conic sections are the curves which can be derived from taking slices of a "double-napped" cone.
Meehan98
  • Meehan98
I understand all of it besides the last part, and I have -9(x-7)^2 + 16 (y-5)^2=144

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Meehan98
  • Meehan98
I know that I multiply (1/144) by each side but the (-9) is throwing me off.
madhu.mukherjee.946
  • madhu.mukherjee.946
its an hyperbola
Meehan98
  • Meehan98
But How do you get the final equation so you know it's a hyperbola?
madhu.mukherjee.946
  • madhu.mukherjee.946
-9 (x-14) x+16 (y-10) y-185 = 0
madhu.mukherjee.946
  • madhu.mukherjee.946
-9 (x-7)^2+16 (y-5)^2-144 = 0
Meehan98
  • Meehan98
So, the final equation we want looks like this: (x-h)^2/a^2-(y-k)^2/b^2=1 From your equation above, is the next step to divide 144?
madhu.mukherjee.946
  • madhu.mukherjee.946
yeah
Meehan98
  • Meehan98
OKay, this is where I get confused because wouldn't it be: -9/144(x-7)^2+16/144(y-5)^2=1
madhu.mukherjee.946
  • madhu.mukherjee.946
yes
madhu.mukherjee.946
  • madhu.mukherjee.946
did i help you?
Meehan98
  • Meehan98
Sorry my computer crashed. Ok so I'm getting an ellipse. (X+7)^2/16 + (y-5)^2/9=1
madhu.mukherjee.946
  • madhu.mukherjee.946
nope its an hyperbola
Meehan98
  • Meehan98
When you divide 144 to -9(x-7)^2 would your result be (x+7)^2/16 because the -1 makes x-7^2 a positive (x+7)^2
Meehan98
  • Meehan98
Never mind! I got it!! Thanks for your help! The equation would be: (y-50^2/9-(x-7)^2/16

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