(4,5)(2,1)
slope = (1 - 5) / (2 - 4) = -4/-2 = 2
(-2,3)(-4,4)
slope = (4 - 3) / (-4 - (-2) = 1/(-4 + 2) = -1/2
2 and -1/2 are negative reciprocals of each other....therefore, ur lines are perpendicular <==
Answer:

Step-by-step explanation:
Let
x ----> the cost of a pretzel
we know that
The phrase" $3 more than four times the cost of a pretzel" is equal to multiply the cost of a pretzel x by 4 and adds the number 3
so
The algebraic expression is

In matching an equation with a graph, there are many ways, one of them i using the Slope Intercept Form of the graph, convert the graph and then compare the slope of the two. I hope you are satisfied with my answer and feel free to ask for ore if you have question and further clarification.
Answer:
Kevin should do 21 shock replacements and 6 brake replacements every week to maximize his weekly income.
Step-by-step explanation:
Since either job takes 2 hours to complete, the total number of jobs that Kevin can complete working 54 hours a week is:

Since replacing shocks gives him a greater income, he should aim to do as little break replacements as possible and as many shock replacements as possible in order to maximize income.
If he has to complete at least 6 break replacements out of the 27 jobs possible, the number of shock replacements he should do is:

Kevin should do 21 shock replacements and 6 brake replacements every week to maximize his weekly income.
Answer:
9 inches
Step-by-step explanation:
The population is within 6 standard deviations of the mean with a confidence of 99.7 percent, 3 above and 3 below
The standard deviation of the sample mean is equal to the population standard deviation divided by the square root of the sample size
population standard deviation = 36
sample size = 144
standard deviation of the sample mean = 36/ sqrt(144)
=36/12
=3
The margin of error is the number of standard deviations above the mean * the standard deviations
margin of error = 3 * 3
= 9 inches