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anonymous

  • 5 years ago

If a particular radio telescope is 100ft in diameter and has a cross section modeled by the equation x^2=167y, how deep is the parabolic dish? What is the location of the focus? can someone help me with this?

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  1. amistre64
    • 5 years ago
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    learned a bit more about this stuff today i did....

  2. amistre64
    • 5 years ago
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    x^2 = 4ay where a is the distance from the vertex..... and your vertex is at 0,0

  3. amistre64
    • 5 years ago
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    167/4 is a so the focus is at..... 0+ 167/4

  4. anonymous
    • 5 years ago
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    right. i have that its the first part that im having trouble with

  5. amistre64
    • 5 years ago
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    ok.....we know that it 100 feet across, so that is 50 feet in both directions, when y = 50, what is x^2 = ?

  6. amistre64
    • 5 years ago
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    is it headed in the x direction or the y?

  7. anonymous
    • 5 years ago
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    the parabola opens up

  8. amistre64
    • 5 years ago
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    then I would turn it into the normal way of viewing this: y =(1/167)x^2. when x = 50, whats y=?

  9. amistre64
    • 5 years ago
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    2500/167...

  10. anonymous
    • 5 years ago
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    so thats how deep it is?

  11. amistre64
    • 5 years ago
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    yup,...

  12. amistre64
    • 5 years ago
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    the numbers are the same, we just repositioned them into the "normal" way that this equation would look.

  13. amistre64
    • 5 years ago
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    the vertex is at (0,0) thats half way, half of the diameter is 50...plug it in :)

  14. amistre64
    • 5 years ago
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    14.97 is what I get

  15. anonymous
    • 5 years ago
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    k I'll try that. thanks!

  16. amistre64
    • 5 years ago
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    youre welcome :)

  17. amistre64
    • 5 years ago
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    have you ever worked with quadratic equations?

  18. amistre64
    • 5 years ago
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    cause thats all a parabola is...

  19. anonymous
    • 5 years ago
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    yes. im in pre calc at a jr college, this stuff is being thrown at me quick but im doing my best.

  20. amistre64
    • 5 years ago
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    phcc sound familiar to you?

  21. anonymous
    • 5 years ago
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    no whats that?

  22. amistre64
    • 5 years ago
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    its the community college I go to right now :) just wondering if you were in my trig/pre calc class ....

  23. anonymous
    • 5 years ago
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    na im at tcc

  24. amistre64
    • 5 years ago
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    well, good luck to ya :)

  25. anonymous
    • 5 years ago
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    thanks!

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