SOLUTION: Detroit road starts in the center of the city, and Lorain road starts 4 miles west of the center of city. Both roads run southwest. If these roads are put on a coordinate plane wit

Question 347103: Detroit road starts in the center of the city, and Lorain road starts 4 miles west of the center of city. Both roads run southwest. If these roads are put on a coordinate plane with the center of the city at (0,0), Lorain Road is represented by the equation y = -x � 4 And Detroit Road is represented by the equation y = - x . How far away is Lorain Road from Detroit road?

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Detroit road starts in the center of the city, and Lorain road starts 4 miles west of the center of city. Both roads run southwest. If these roads are put on a coordinate plane with the center of the city at (0,0), Lorain Road is represented by the equation y = -x � 4 And Detroit Road is represented by the equation y = - x . How far away is Lorain Road from Detroit road?
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Roads with those equations run southeast and northwest, assuming north is the positive y direction.
Ignoring that:
Since the angles with the axes are 45 degs, the distance is 4*sin(45)
=
=~ 2.828 miles

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