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Math Help - Need help on another math question?

  1. #1
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    Need help on another math question?

    Find the shortest distance from the origin to the link 3x+2y=4....

    is there an easy method to do this?

    THANKS
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  2. #2
    Senior Member tukeywilliams's Avatar
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    answered this on other thread.
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  3. #3
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    sorry for bothering you guys but i really really need help >__<


    how do i solve this question graphically and algebraically

    x^2+y^2=25 and 3x-4y=0

    THANKS A MILLION!
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  4. #4
    Senior Member tukeywilliams's Avatar
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     x^2 + y^2 = 25 is a circle of radius  5 .

     3x-4y = 0 is the line  y = \frac{3}{4}x .

    So to do it graphically, find where the line and circle intersect.

    We know  y = \frac{3}{4}x .

    Then  x^2 + \frac{9}{16}x^2 = 25 or  \frac{13}{16}x^2 = 25 .

    So  x \approx 5.54, \ y \approx 4.155
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