document.write( "Question 1011678: will be able.
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Algebra.Com's Answer #627425 by josgarithmetic(39800) $\"\"$ $\"About$

You can put this solution on YOUR website!
(FIXED EARLIER MISTAKE)\r
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\n" ); document.write( "\n" ); document.write( "Place the triangle on a cartesian system with the right angle of the room's corner at the origin. The railing fits on a line, $\"y=-%283%2F4%29x-9\"$ . The segment length labeled, \"x\" , is on the line $\"y=%284%2F3%29x\"$ , maybe now a bad choice of naming for variables, perpendicular to the railing. \r
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\n" ); document.write( "\n" ); document.write( "Find the other endpoint of \"x\"; which is the intersection point of $\"y=-%283%2F4%29x-9\"$ and $\"y=%284%2F3%29x\"$ .
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\n" ); document.write( " $\"4x%2F3=-%283%2F4%29x-9\"$
\n" ); document.write( " $\"4x%2F3%2B%283%2F4%29x=-9\"$
\n" ); document.write( "Multiply L&R by 12.
\n" ); document.write( " $\"16x%2B9x=-9%2A12\"$
\n" ); document.write( " $\"25x=-72\"$
\n" ); document.write( " $\"highlight_green%28x=-72%2F25%29\"$
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\n" ); document.write( " $\"y=%284%2F3%29%28-72%2F25%29\"$
\n" ); document.write( " $\"y=%28-4%2A24%29%2F25\"$
\n" ); document.write( " $\"highlight_green%28y=-96%2F25%29\"$
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\n" ); document.write( "Intersection point is ( -72/25, -96/25 ).\r
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\n" ); document.write( "\n" ); document.write( "Final task is USE THE DISTANCE FORMULA to find distance between (0,0) and ( -72/25, -96/25 ). \n" ); document.write( "

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