Due to weather, a barge captain decides to reach her destination in two legs: one due north and one due west. On a direct route, the barge’s destination is about 1,152 miles; see the figure below. If after traveling 605 miles due north the captain determines it is time to head due west, how many more miles are left in the trip? (Round the answer to the nearest mile.)

where is the picture

step-by-step explanation:

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.