document.write( "Question 1003286: I can't figure out the answer to this question. When I complete it, I get m=-15/9. Can you help me? \r
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document.write( "A 15 foot ladder is leaning against a house with its bottom 9 feet from the base of
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document.write( "the house. What is the slope of the ladder? Select the correct answer, then either show your work or explain your answer.
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document.write( "a) 9/15
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document.write( "b) Square root of 24
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document.write( "c) 12
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document.write( "d) 4/3
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document.write( "e) 15 \n" );
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Algebra.Com's Answer #620038 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Let x = height where the top of the ladder leans against the wall\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We have a right triangle with legs x and 9, along with a hypotenuse of 15.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Use the pythagorean theorem to find x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a^2 + b^2 = c^2 \n" ); document.write( "x^2 + 9^2 = 15^2 \n" ); document.write( "x^2 + 81 = 225 \n" ); document.write( "x^2 + 81-81 = 225-81 \n" ); document.write( "x^2 = 144 \n" ); document.write( "sqrt(x^2) = sqrt(144) \n" ); document.write( "x = 12\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The legs of this right triangle are 12 and 9. The vertical leg is 12 (rise) and the horizontal leg is 9 (run)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The legs will form the slope. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Slope = rise/run = 12/9 = 4/3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Take note at how I reduced the fraction fully\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Final Answer: 4/3 \n" ); document.write( " |