anonymous
  • anonymous
Please help with a pre calc question. I will fan and medal best response.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
anonymous
  • anonymous
@satellite73
anonymous
  • anonymous
@ganeshie8

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anonymous
  • anonymous
The equation of an ellipse centered at the origin is \[\frac{ x^2 }{ a^2}+\frac{ y^2 }{ b^2 }=1\] We know three points (0, 58), (21, 29), and (-21,29). If you substitute the points you should be able to solve for a and b.
anonymous
  • anonymous
So: ((21^2)/a^2) +((29^2)/b^2) = 1?
anonymous
  • anonymous
not really following you here... sorry
anonymous
  • anonymous
yes that's right. And if you use (0,58) you can eliminate the x² part, which allows you to solve for b
anonymous
  • anonymous
I'm sorry but can you just show me the steps with the information. Once I've done it once, it will make sense but right now I just don't get it.
anonymous
  • anonymous
@Loser66 can you help?
anonymous
  • anonymous
\[\frac{ 0^2 }{ a^2 }+\frac{ 58^2 }{ b^2 }=1\] \[\frac{ 58^2 }{ b^2 }=1\] Now you can solve for b
anonymous
  • anonymous
wouldn't that mean that b=58?
anonymous
  • anonymous
yes.
anonymous
  • anonymous
oh ok. lol so how about finding a
anonymous
  • anonymous
now put 58 into the equation you made above. \[\frac{ 21^2 }{ a^2 }+\frac{ 29^2 }{ 58^2 }=1\]
anonymous
  • anonymous
now I just plug in a different pair of coordinates with b = 58?
anonymous
  • anonymous
ok got it that all i need thanks
anonymous
  • anonymous
you're welcome
anonymous
  • anonymous
@peachpi sorry dude I thought I could get through the rest of the problem by myself but I got stuck can you help me finish it?
anonymous
  • anonymous
@Loser66 can you help me finish the problem?
anonymous
  • anonymous
I got this far: First find b from: (0^2/a^2) + (58^2/b^2) = 1 58^2/b^2 = 1 b = 58 Now find a: (21^2/a^2) + (29^2/58^2) = 1 (21^2/a^2) + 1/4 = 1 (21^2/a^2) = 3/4 or 0.75
Loser66
  • Loser66
@peachpi please finish it. I didn't follow the stuff.
anonymous
  • anonymous
he went offline
anonymous
  • anonymous
|dw:1437955365294:dw|

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