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toxicsugar22

  • 5 years ago

give the exact coordinates of any four points on the hyperbola (y+2)^2/6-(x+2)^2/10=1

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  1. toxicsugar22
    • 5 years ago
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    hi ccan u help me

  2. anonymous
    • 5 years ago
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    That's pretty easy. Just choose any 4 points for x, and find the corresponding values of y. I'll do one for you. Let's take x=-2, plug in the equation and solve for x to get: \((y+2)^2/6-0=1\), which implies that \((y+2)^2=6\). Taking the square root of both sides gives \(y+2=\sqrt{6}\), and therefore \(y=\sqrt6-2 \). So, a point on the given hyperbola is \((-2,\sqrt6-2)\).

  3. toxicsugar22
    • 5 years ago
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    how about another point

  4. toxicsugar22
    • 5 years ago
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    how abut another point for x

  5. anonymous
    • 5 years ago
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    Show me what you can do with \(x=8\).

  6. toxicsugar22
    • 5 years ago
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    (y+2)^2/6-(8+2)^2/10=1

  7. toxicsugar22
    • 5 years ago
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    and then show me by step by step

  8. anonymous
    • 5 years ago
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    \[{(y+2)^2 \over 6}-{(8+2)^2 \over 10}=1 \implies {(y+2)^2 \over 6}-{100 \over 10}=1 \implies {(y+2)^2 \over 6}-10=1\] Now take 10 to the other side and then multiply both sides by 6. After that, take the square root and then subtract 2 from both sides. Please TRY :)

  9. anonymous
    • 5 years ago
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    *Take -10 to the other side with a positive sign*

  10. toxicsugar22
    • 5 years ago
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    so (y+2)^2/6=11

  11. toxicsugar22
    • 5 years ago
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    now what do i do

  12. anonymous
    • 5 years ago
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    I wrote all steps you need in my last comment; now multiply both sides by 6.

  13. toxicsugar22
    • 5 years ago
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    s0 (y+2)^2/36=66

  14. toxicsugar22
    • 5 years ago
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    is that rigtht so far

  15. anonymous
    • 5 years ago
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    Not quite. It should be, after multiplying by 6: \((y+2)^2=66\).

  16. toxicsugar22
    • 5 years ago
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    ok

  17. toxicsugar22
    • 5 years ago
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    so now it will be (y+2)^2=8.1240

  18. anonymous
    • 5 years ago
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    Yeah, but this is not "exact". You should write it as \((y+2)^2=\sqrt{66}\).

  19. toxicsugar22
    • 5 years ago
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    so now what

  20. anonymous
    • 5 years ago
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    Sorry I meant \(y+2=\sqrt{66}\). Now take 2 to the other side with a minus sign, and you're done :D

  21. toxicsugar22
    • 5 years ago
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    y=sqrt66-2

  22. anonymous
    • 5 years ago
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    Yep.

  23. toxicsugar22
    • 5 years ago
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    yeah

  24. toxicsugar22
    • 5 years ago
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    ok and how about lets try 3 for x

  25. toxicsugar22
    • 5 years ago
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    can uwe do an easier number

  26. anonymous
    • 5 years ago
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    Go for i!! I am sure you can do it. You will get \(y=\sqrt{21}-2\). I have to go now :(

  27. anonymous
    • 5 years ago
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    \(3\) is good.

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