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Meehan98

  • one year ago

Identifying Conic Sections help, please!

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  1. Meehan98
    • one year ago
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  2. anonymous
    • one year ago
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    Conic sections are the curves which can be derived from taking slices of a "double-napped" cone.

  3. Meehan98
    • one year ago
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    I understand all of it besides the last part, and I have -9(x-7)^2 + 16 (y-5)^2=144

  4. Meehan98
    • one year ago
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    I know that I multiply (1/144) by each side but the (-9) is throwing me off.

  5. madhu.mukherjee.946
    • one year ago
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    its an hyperbola

  6. Meehan98
    • one year ago
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    But How do you get the final equation so you know it's a hyperbola?

  7. madhu.mukherjee.946
    • one year ago
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    -9 (x-14) x+16 (y-10) y-185 = 0

  8. madhu.mukherjee.946
    • one year ago
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    -9 (x-7)^2+16 (y-5)^2-144 = 0

  9. Meehan98
    • one year ago
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    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?

  10. madhu.mukherjee.946
    • one year ago
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    yeah

  11. Meehan98
    • one year ago
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    OKay, this is where I get confused because wouldn't it be: -9/144(x-7)^2+16/144(y-5)^2=1

  12. madhu.mukherjee.946
    • one year ago
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    yes

  13. madhu.mukherjee.946
    • one year ago
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    did i help you?

  14. Meehan98
    • one year ago
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    Sorry my computer crashed. Ok so I'm getting an ellipse. (X+7)^2/16 + (y-5)^2/9=1

  15. madhu.mukherjee.946
    • one year ago
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    nope its an hyperbola

  16. Meehan98
    • one year ago
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    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

  17. Meehan98
    • one year ago
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    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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