document.write( "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. \n" ); document.write( "

Algebra.Com's Answer #139833 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Point P is 10 units from the origin. The slope of the line passing through P
\n" ); document.write( " and the origin is 3. IF P is in the first quadrant,
\n" ); document.write( " find its coordinates in simplified radical form.
\n" ); document.write( ":
\n" ); document.write( "Solve this as right triangle, where x = horizontal leg; 3x = vertical leg; hypotenuse = 10
\n" ); document.write( "(slope = 3; rise/run)
\n" ); document.write( ":
\n" ); document.write( "x^2 + (3x)^2 = 10^2
\n" ); document.write( "x^2 + 9x^2 = 100
\n" ); document.write( "10x^2 = 100
\n" ); document.write( "x^2 = $\"100%2F10\"$
\n" ); document.write( "x^2 = 10
\n" ); document.write( "x = $\"sqrt%2810%29\"$
\n" ); document.write( ":
\n" ); document.write( "Coordinates; x = $\"sqrt%2810%29\"$ ; y = $\"3sqrt%2810%29\"$ \n" ); document.write( "

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