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olasank [31]
2 years ago
14

Write an equation of the line that passes through (4,1) and is parallel to y=-2x+7

Mathematics
2 answers:
Wittaler [7]2 years ago
8 0

Answer:

It would be y= -2x+9

GrogVix [38]2 years ago
5 0

Answer:

y = -2x + 9

Step-by-step explanation:

Using the slope intercept equation y=mx+b, we can see that the slope of the line parallel to y = -2x + 7 is -2.

m = -2

Use the point slope formula y - y1 = m(x - x1) to find the line that runs through (4,1)

y - 1 = -2(x - 4)

Simplify

y - 1 = -2x + 8

y = -2x + 9

You can check your answer by putting in the point and seeing if the equaiton is true

1 = -2(4) + 9

1 = -8 + 9

1 = 1

True

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A carpenter has a wooden dowel that is 72 centimeters long. She wants to cut it into 2 pieces so that one piece is 5 times as lo
Jobisdone [24]
Let's say that the shorter piece is x and the longer piece is 5x (because it's 5 times as long). x+5x=72 and 6x=72. Dividing both sides by 6, we get that x=12, and 72-12=the length of the other piece (since there are only 2 pieces)=60
6 0
2 years ago
There are two college entrance exams that are often taken by students, Exam A and Exam B. The composite score on Exam A is appro
elena55 [62]

Answer:

B.The score on Exam A is better, because the percentile for the Exam A score is higher.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

Two exams. The exam that you did score better is the one in which you had a higher zscore.

The composite score on Exam A is approximately normally distributed with mean 20.1 and standard deviation 5.1.

This means that \mu = 20.1, \sigma = 5.1.

You scored 24 on Exam A. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{24 - 20.1}{5.1}

Z = 0.76

The composite score on Exam B is approximately normally distributed with mean 1031 and standard deviation 215.

This means that \mu = 1031, \sigma = 215.

You scored 1167 on Exam B, s:

Z = \frac{X - \mu}{\sigma}

Z = \frac{1167 - 1031}{215}

Z = 0.632

You had a better Z-score on exam A, so you did better on that exam.

The correct answer is:

B.The score on Exam A is better, because the percentile for the Exam A score is higher.

3 0
3 years ago
Consider two unique parallel lines. What aspects of these two lines are the same? What aspects of these two lines would have to
nalin [4]
Their slopes would be the same but their positions or points ( if the lines were on a graph) would be different.
5 0
3 years ago
Find the x - intercept of the graph of the equation
Alborosie

Answer:

ugh should i drop out

Step-by-step explanation:

5 0
3 years ago
It would be nice if I get some help with these 2 things
Stella [2.4K]
Thing 1
A. You can set up a proportion by dividing how much of something there is by the original. (This probably doesn't make much sense but I hope you can understand it from the answer to the problem below!)
B.First, do 168/21 to see how many more times he put flour in. 
168/21= 8
Then to find out the milk in the same proportion do the number (in this case 8) times the original of the thing you wan to find out. 
8x9=72
72 tablespoons of milk are needed for 168 cups of flour in this adapted recipe.

Thing 2
24/36=8y
To solve any equation, you want to have letters on one side and numbers on the other, so...
-8 from both sides...
(24/36)-8=y
24/36=0.6 
y=(0.6-8)
y=-7.4

Hope this helps :)
5 0
3 years ago
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