A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Zenmo

  • one year ago

Find the standard form of hyperbola equation with the center at origin. Given characteristics are, foci: (0, -8) , (0, 8); asymptotes y=4x, y=-4x .

  • This Question is Closed
  1. Loser66
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    What is the standard form of a hyperbola?

  2. Zenmo
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1433417287155:dw|

  3. Loser66
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    in this case, k = h =0 ok?

  4. Zenmo
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    For asymptotes: |dw:1433417392634:dw|

  5. Loser66
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    and \(c^2 = a^2+b^2\) right?

  6. Loser66
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    you have \(a^2 + b^2 = 64\\\dfrac{a}{b}=4\) can you find a, b?

  7. Loser66
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Please, no assuming, solve it algebraically,

  8. Zenmo
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1433417547097:dw|

  9. Zenmo
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1433417613972:dw|

  10. Loser66
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yup

  11. Zenmo
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1433417709955:dw|

  12. Loser66
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    we need b^2 to plug in the formula, no need to find b

  13. Loser66
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    nope

  14. Loser66
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \(b^2 = 64/17\) \(c^2 = a^2 +b^2\\a^2 = c^2 - b^2 = 64 -64/17 = 1024/17\)

  15. Zenmo
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1433418156536:dw| So |dw:1433418261218:dw| then final equation is |dw:1433418336166:dw|

  16. Zenmo
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Thanks! :D

  17. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.