document.write( "Question 876952: To reach her friend’s house, Samantha has to drive 9 miles north, turn left and drive 3 miles west, and then finally take another left and drive 3 miles south. What is the shortest distance between Samantha’s house and her friend’s house? \n" ); document.write( "

Algebra.Com's Answer #529104 by reviewermath(1029) $\"\"$ $\"About$

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Q:
\n" ); document.write( "To reach her friend’s house, Samantha has to drive 9 miles north, turn left and drive 3 miles west, and then finally take another left and drive 3 miles south. What is the shortest distance between Samantha’s house and her friend’s house?
\n" ); document.write( "A:
\n" ); document.write( "Let Samantha's house be located at the origin (0,0).
\n" ); document.write( "The point 9 miles north of (0,0) is at (0,9).
\n" ); document.write( "The point 3 miles west of (0,9) is at (-3,9).
\n" ); document.write( "The point 3 miles south of (-3, 9) is at (-3,6).
\n" ); document.write( "Use the distance formula to get the distance between the origin and the
\n" ); document.write( "point (-3, 6).
\n" ); document.write( "d = $\"sqrt%28%28-3-0%29%5E2+%2B+%286-0%29%5E2%29\"$ = $\"highlight%283%2Asqrt%285%29%29\"$ miles \n" ); document.write( "

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