The answer is 28 miles.
Displacement is not the same as distance. Total distance would be the sum of two distances: 40 + 12 = 52 miles.
However, displacement is the shortest distance from the initial and final position. Take a look at the attached image. Displacement is the difference of two distances:
D = 40 - 12 = 28 miles
It would be 24 miles per hour
Y=4x+16
If the line is parallel to y-1=4(x+3), the slope has to be the same, meaning that the slope has to be 4.
Putting this slope and the point into point slope form, we get the equation:
y-32=4(x-4)
Which can be simplified into slope intercept form:
y-32=4x-16
y=4x-16+32
y=4x+16
Answer:
x (children) = 58
y (students) = 66
z (adults) = 29
Step-by-step explanation:
Step 1: Write system of equations
x + y + z = 153
5x + 7y + 12z = 1100
1/2x = z
The best way to solve the systems of equations is to use an augmented matrix:
Top row: [1 1 1 | 153]
Middle row: [5 7 12 | 1100]
Bottom row: [1/2 0 -1 | 0]
And then put it in RREF form:
Top row: [1 0 0 | 58]
Middle row: [0 1 0 | 66]
Bottom row: [0 0 1 | 29]