The slope of the perpendicular line will be 2. Remember, a perpendicular slope is the negative reciprocal.
So, we can make the equation
. We need to find b, and put b in.
To find b, put in the numbers of y and x.

Solve for b:

Now replace b in the original equation with 12 and that will be the answer:
The answer is
.
Answer:
The speeds of the cars is: 0.625 miles/minute
Step-by-step explanation:
We use systems of equations in two variables to solve this problem.
Recall that the definition of speed (v) is the quotient of the distance traveled divided the time it took :
. Notice as well that the speed of both cars is the same, but their times are different because they covered different distances. So if we find the distances they covered, we can easily find what their speed was.
Writing the velocity equation for car A (which reached its destination in 24 minutes) is:

Now we write a similar equation for car B which travels 5 miles further than car A and does it in 32 minutes:

Now we solve for
in this last equation and make the substitution in the equation for car A:

So this is the speed of both cars: 0.625 miles/minute
Answer:
A. 0.0627
B. 8.4%
Step-by-step explanation:
You need to divide by 100 if you want to make the decimal to a percent. If you want to make a percent to a decimal then just multiply by 100.