SOLUTION: a point p is at a distance of 10 from a point (2,3).find the coordinates of the point p if the y coordinate is twice the x coordinate?

Question 847432: a point p is at a distance of 10 from a point (2,3).find the coordinates of the point p if the y coordinate is twice the x coordinate?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a point p is at a distance of 10 from a point (2,3).find the coordinates of the point p if the y coordinate is twice the x coordinate?
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Let P be (k,2k)::
Equation:
(k-2)^2 + (2k-3)^2 = 10^2
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K^2-4k+4 + 4k^2-12k+9 = 100
5k^2 - 16k - 87 = 0
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k = 6.07
2k = 12.14
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Cheers,
Stan H.
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