document.write( "Question 1010454: Rosa works due north of home. Her husband Ray works due east. They leave for work at the same time. By the time Rosa is 5 miles from home, the distance between them is one mile more more than Ray's distance from home. How far from home is Rosa?
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Algebra.Com's Answer #625904 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! You can construct a right triangle... \n" ); document.write( "Rosa's leg is 5 miles. \n" ); document.write( "Call Ray's leg, x. \n" ); document.write( "The hypotenuse is then x + 1. \n" ); document.write( "From the Pythagorean Theorem, we have \n" ); document.write( "x^2 + 5^2 = (x + 1)^2 \n" ); document.write( "x^2 + 25 = x^2 + 2x + 1 \n" ); document.write( "2x = 24 \n" ); document.write( "x = 12 \n" ); document.write( "Rosa is still 5 miles from home. \n" ); document.write( "Ray is 12 miles from home. \n" ); document.write( "Check the question. \n" ); document.write( " |