SOLUTION: Point P is 10 units from the origin. The slope of the line passing through P and the origin is 3. IF P is in the first quadrant, find its coordinates in simplified radical form.

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Question 186466: Point P is 10 units from the origin. The slope of the line passing through P and the origin is 3. IF P is in the first quadrant, find its coordinates in simplified radical form.
Answer by ankor@dixie-net.com(12701) (Show Source):
You can put this solution on YOUR website!
Point P is 10 units from the origin. The slope of the line passing through P
and the origin is 3. IF P is in the first quadrant,
find its coordinates in simplified radical form.
:
Solve this as right triangle, where x = horizontal leg; 3x = vertical leg; hypotenuse = 10
(slope = 3; rise/run)
:
x^2 + (3x)^2 = 10^2
x^2 + 9x^2 = 100
10x^2 = 100
x^2 =
x^2 = 10
x =
:
Coordinates; x = ; y =