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iheartfood

Write the equation for an ellipse with co-vertices (0,-3) and (0,3), major axis of length 10.

  • one year ago
  • one year ago

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  1. iheartfood
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    @jim_thompson5910 :)

    • one year ago
  2. jim_thompson5910
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    where is the center?

    • one year ago
  3. iheartfood
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    idk.. it doesn't say... it just says what i typed in :/

    • one year ago
  4. jim_thompson5910
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    i know, you have to find it

    • one year ago
  5. jim_thompson5910
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    the co-vertices lie along the minor axis

    • one year ago
  6. iheartfood
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    ok, how do we do that?

    • one year ago
  7. jim_thompson5910
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    the midpoint of this minor axis is where the center is

    • one year ago
  8. iheartfood
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    minor is vertical or horizontal?

    • one year ago
  9. jim_thompson5910
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    (0,-3) and (0,3) lie on what line?

    • one year ago
  10. iheartfood
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    so would the center be (0,0) ??

    • one year ago
  11. jim_thompson5910
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    yep

    • one year ago
  12. iheartfood
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    the x-axis?

    • one year ago
  13. jim_thompson5910
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    no, you have it flipped

    • one year ago
  14. iheartfood
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    okay so how do i write this equation?? oh the y axis?

    • one year ago
  15. jim_thompson5910
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    so the minor axis is vertical

    • one year ago
  16. jim_thompson5910
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    the major must be horizontal

    • one year ago
  17. iheartfood
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    ohh okay :) so its on the major axis?

    • one year ago
  18. jim_thompson5910
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    what is

    • one year ago
  19. iheartfood
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    (0,-3) and (0,3) ?

    • one year ago
  20. jim_thompson5910
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    no they are on the minor axis because they are co-vertices

    • one year ago
  21. jim_thompson5910
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    not vertices

    • one year ago
  22. iheartfood
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    ohh okay i see... what do we do now??

    • one year ago
  23. jim_thompson5910
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    how long is the minor axis?

    • one year ago
  24. iheartfood
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    idk :/ how do i find that?? i just know the major axis is 10...

    • one year ago
  25. jim_thompson5910
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    what's the distance between the co-vertices?

    • one year ago
  26. iheartfood
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    6? so is 6 the length of the minor axis?

    • one year ago
  27. jim_thompson5910
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    yes good

    • one year ago
  28. jim_thompson5910
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    cut that in half to get 3 that's the length of the semi-minor axis

    • one year ago
  29. jim_thompson5910
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    since the minor axis is vertical, this value of 3 corresponds to the value of b (which is paired with the y term below) (x-h)^2/(a^2) + (y-k)^2/(b^2) = 1

    • one year ago
  30. jim_thompson5910
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    so b = 3

    • one year ago
  31. jim_thompson5910
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    you know the center is (0,0) because you just found this, so (h,k) = (0,0)

    • one year ago
  32. iheartfood
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    okay :) so far we have this? (x-0)^2/(a^2) + (y-0)^2/(3^2)=1 ??

    • one year ago
  33. jim_thompson5910
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    good, the only thing you need is 'a'

    • one year ago
  34. iheartfood
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    how do we find that? do we square root 10? if so, can i just write sq.rt.10?

    • one year ago
  35. jim_thompson5910
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    no, the length of the major axis is 10 the length of the semi-major axis is ____

    • one year ago
  36. iheartfood
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    5?

    • one year ago
  37. jim_thompson5910
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    so a = 5

    • one year ago
  38. iheartfood
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    okay so is this my final equation??|dw:1356131103670:dw| is that it?? or do i need to simplify it more?

    • one year ago
  39. jim_thompson5910
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    you can simplify it more if you want

    • one year ago
  40. jim_thompson5910
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    |dw:1356131176856:dw|

    • one year ago
  41. iheartfood
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    but when it says write the equation, what format do they want it in?

    • one year ago
  42. jim_thompson5910
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    there are many formats, but that's probably the best one

    • one year ago
  43. jim_thompson5910
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    because you can tell it's an ellipse and you can use it to read off the center, major axis, minor axis lengths, etc etc

    • one year ago
  44. iheartfood
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    the simplified version?

    • one year ago
  45. jim_thompson5910
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    yeah

    • one year ago
  46. iheartfood
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    kk so we are done now?? htats it?

    • one year ago
  47. jim_thompson5910
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    yes

    • one year ago
  48. iheartfood
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    kk thank youu :)

    • one year ago
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