SOLUTION: Dan and Frank are roommates. They both leave their house on their bicycles at the same time. Dan rides west for 4 miles and then south for 3 miles. Frank rides east for 1 mile and

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Question 316778: Dan and Frank are roommates. They both leave their house on their bicycles at the same time. Dan rides west for 4 miles and then south for 3 miles. Frank rides east for 1 mile and then north for 2 miles. How far apart are they when they both arrive at their destinations?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let east be positive x, west negative x, north positive y, south negative y.
They both start at (0,0).
Dan travels to (-4,-3).
Frank travels to (1,2).
To calculate the distance between them, use the distance formula.
D%5E2=%28x2-x1%29%5E2%2B%28y2-y1%29%5E2
D%5E2=%281-%28-4%29%29%5E2%2B%282-%28-3%29%29%5E2
D%5E2=%281%2B4%29%5E2%2B%282%2B3%29%5E2
D%5E2=25%2B25
D%5E2=50
D=5sqrt%282%29 or approximately,
D=7.07 miles