document.write( "Question 131745: Please help me solve this word problem:\r
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document.write( "A carpenter needs to cut a brace to support a vertical wall stud. The brace should be 7 feet less than 3 times the length of the stud. If the brace will be anchored on the floor 15 feet away from the stud, how long should the brace be? (Hint: the brace is the hypotenuse.) \n" );
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Algebra.Com's Answer #96198 by checkley71(8403)![]() ![]() ![]() You can put this solution on YOUR website! a^2+b^2=c^2 \n" ); document.write( "x^2+15^2=(3x-7)^2 \n" ); document.write( "x^2+225=9x^2-42x+49 \n" ); document.write( "9x^2-x^2-42x+49-225=0 \n" ); document.write( "8x^2-42x-176=0 \n" ); document.write( "2(4x^2-21x-88)=0 \n" ); document.write( "2(4x+11)(x-8)=0 \n" ); document.write( "x-8=0 \n" ); document.write( "x=8 answer. \n" ); document.write( "3*8-7=24-7=17 feet for the brace. \n" ); document.write( "proof: \n" ); document.write( "8^2+15^2=(3*8-7)^2 \n" ); document.write( "64+225=(23-7)^2 \n" ); document.write( "289=17^2 \n" ); document.write( "289=289\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |