SOLUTION: 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

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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?
Answer by reviewermath(1029) About Me  (Show Source):
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Q:
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?
A:
Let Samantha's house be located at the origin (0,0).
The point 9 miles north of (0,0) is at (0,9).
The point 3 miles west of (0,9) is at (-3,9).
The point 3 miles south of (-3, 9) is at (-3,6).
Use the distance formula to get the distance between the origin and the
point (-3, 6).
d = sqrt%28%28-3-0%29%5E2+%2B+%286-0%29%5E2%29 = highlight%283%2Asqrt%285%29%29 miles