document.write( "Question 490639: Mary works due north of home. her husband juan works due east of home.they leave for work at same time. by the time mary is 7 miles from home the distance between them is 1 mile more than the distance juan is from home. how far from home is juan? \n" ); document.write( "

Algebra.Com's Answer #334253 by cleomenius(959) $\"\"$ $\"About$

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What we will be doing here is to set a right triangle, the legs will be 7 and x, and the hypotneus is x +1. This is the present distance between Mary and Juan.
\n" ); document.write( "x^2 + 49 = (x + 1)^2
\n" ); document.write( "x^2 + 49 = x^2 + 2x + 1
\n" ); document.write( "48 = 2x
\n" ); document.write( "24 = x
\n" ); document.write( "7^2 + 24^2 = 25^2 to check.
\n" ); document.write( "49 + 576 = 625.
\n" ); document.write( "This does check.
\n" ); document.write( "Cleomenius.
\n" ); document.write( " \n" ); document.write( "

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