Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Shaks

  • 2 years ago

Show that the equation represents a circle by rewriting it in standard form, and find the center and radius of the circle. x2 + y2 + 4y + 2 = 0

  • This Question is Closed
  1. Shaks
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Show that the equation represents a circle by rewriting it in standard form, and find the center and radius of the circle. x2 + y2 + 4y + 2 = 0

  2. Shaks
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    can u helpme

  3. saifoo.khan
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @Directrix are you good with circles?

  4. Shaks
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    noup

  5. Shaks
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    help mee

  6. Shaks
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    sir

  7. Shaks
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    helloo

  8. Directrix
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @Shaks I'm hoping you understand the process of completing the square. We'll need that to get x2 + y2 + 4y + 2 = 0 into the standard form of the equation of a circle. That standard form is (x - h) ^2 + (y - k) ^2 = r^2 where (h,k) are the coordinates of the center of the circle and r is the radius of the circle. Check out the attachment.

  9. Shaks
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    is that the asnwer

  10. Directrix
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    No. Focus on the process, not the answer.

  11. Shaks
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yeaa

  12. Shaks
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    getting it kind it

  13. Shaks
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    of

  14. Shaks
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    The center is (0,-2)

  15. Directrix
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So, x^2 + y^2 + 4y + 2 = 0 can be written as x^2 + y^2 + 4y + __4_ = 0 + 4 (x + 0) ^2 + (y + 2) ^2 = 4 ---> Your Circle Now, look at the standard form for the circle equation, compare it to the equation, and pick out the coordinates of the center and the value of the radius. Post what you get, and I'll check. @Shaks

  16. Directrix
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    r = ?

  17. Shaks
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    x^2+(y+2)^2=3 is this the standerd form

  18. Shaks
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    r= -2

  19. Shaks
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    hello

  20. Shaks
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    are u there

  21. Directrix
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    r= -2 --> Incorrect

  22. Shaks
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    then how to solve it

  23. Directrix
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Look at standard form for circle equation: That standard form is (x - h) ^2 + (y - k) ^2 = r^2 where (h,k) are the coordinates of the center of the circle and r is the radius of the circle. What positive number times itself = 4? That's your r.

  24. Shaks
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    2 is r

  25. Directrix
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Correct.

  26. Shaks
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    got it

  27. Shaks
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    noo r is not 2

  28. Shaks
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    is it 4

  29. Directrix
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @Shaks I messed up by dropping the 2. So, x^2 + y^2 + 4y + 2 = 0 can be written as x^2 + y^2 + 4y + __4_ = 2 + 4 = 6. r^2 = 6 and r is square root of 6.

  30. Shaks
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    is it 6

  31. Shaks
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    2.44

  32. Directrix
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    6 = r^2. We want r which is square root of 3.

  33. Shaks
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    hmm

  34. Shaks
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    trying to understand

  35. Shaks
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    1.7

  36. Shaks
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    did not get it it too doficult

  37. Shaks
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    difficult

  38. Directrix
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    You approximated square root of 3 to get 1.7. I stick with exact form but I don't know what your options are.

  39. Shaks
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yaa i got it

  40. Shaks
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Find all real solutions of the equation. (Enter your answers as a comma-separated list. If there is no real solution, enter NO REAL SOLUTION.) x + 42 = x

  41. Shaks
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    now 1 more sum

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

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

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.