The coordinates of the drop off would be (-2,2)
<span>The distance between two cities is ninety miles, and a woman drives from one city to the other at a rate of 45 mph. At what rate must she return if the total travel time is three hours and forty minutes?
1st leg DATA:
distance = 90 mi ; rate = 45 mph ; time = d/r = 2 hrs.
</span><span>2nd leg DATA:
distance = 90 mi ; time = [3 2/3 - 2] = 1 2/3 hrs; rate = 90/(5/3) = 54 mph
Ans: 54 mph</span>
12 - x = 5
Subtract 12 from both sides
12 - 12 - x = 5 - 12
- x = - 7
Divide both sides by -1
-x/-1 = -12/-1
x = 7
Long piece: 5x + 3
Short piece: x
Long + Short = Total
5x + 3 + x = 45
6x + 3 = 45
6x = 42
x = 7
Long piece: 5x + 3 = 5(7) + 3 = 35 + 3 = 38
Answer: short = 7 ft, long = 38 ft
