area = width * length
or
A = W * L
55 = W * (W+6)
solve for width:
0 = W^2 + 6W - 55
this is a quadratic and has two solutions -11 and 5
a length can only be non-negative so discard -11.
width W = 5 miles
now the length is 5+6 = 11 miles
Move the 150 to the left to get x^2+5x-150=0
Then factor to (x+15)(x-10)=0
The roots are -15 and 10
The positive root is 10
Answer:
Denote that line : y = ax +b
That line parallel to -3x+2y=-14 <=> y = 3/2(x)-7
=> a = 3/2
That line passes F(3,1) => (3/2) x 3 + b =1,
=> b = 1 - 9/2 = -7/2
=> y = (3/2)x -7/2