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Need help. Find the points of intersection between x + 2y - 5 = 0 and x^2 + y^2 = 25. and find the length of the chord of intersection.?

Science & Mathematics by Anonymous 2018-06-25 04:33:03

Social Science

Need help. Find the points of intersection between x + 2y - 5 = 0 and x^2 + y^2 = 25. and find the length of the chord of intersection.?

4 answers

  • Anonymous

    x^2+y^2=25-----(1) x=5-2y--------(2) Putting (2) into (1) & eliminating x get 5y^2-20y=0=> 5y(y-4)=0=> y=0, x=5 correspondingly y=4, x=-3 correspondingly. Thus, there are 2 sets of solution: (0, 5), (4, -3).

  • Anonymous

    Points of intersection are at (-3, 4) and (5, 0) with a length that is the square root of 80

  • Anonymous

    x = 5 - 2y [ 5 - 2y ]^2 + y^2 = 25 25 - 20y + 4y^2 + y^2 = 25 25y^2 - 20y = 0 5y [ 5y - 4 ] = 0 y = 0 , y = 4/5 x = 5 , x = 17/5 Points (5,0) and (17/5 , 4/5) Points (x , 0) and ( 29/5 , 4/5)

  • Anonymous

    Hint: x=5-2y (5-2y)^2+y^2=25 solve for y , then find x

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