Recall from Intermediate Algebra that two non-vertical lines are perpendicular if and only if they have negative reciprocal slopes. That is to say, if one line has slopem1and the other has slopem2thenm1 · m2 = −1.Please note that a horizontal line is perpendicular to a vertical line and vice versa, so we assumem1 ≠ 0andm2 ≠ 0.Below, you are given a line and a point which is not on that line. Find the line perpendicular to the given line which passes through the given point.

Answers

Answer 1

Complete Question

The complete question is shown on the first uploaded image

Answer:

The line is [tex]y = -4 x[/tex]

Step-by-step explanation:

From the question we are told that

The line is [tex]y = \frac{1}{4} x + 8[/tex]

The point is P(0,0 )

Generally the equation for a line is [tex]yn = mx + c[/tex]

Now comparing this with the given equation we see that

[tex]m =\frac{1}{4} = slope[/tex]

[tex]C =8 = intercept [/tex]

Generally the slope of the perpendicular to the given line is mathematically evaluated as

[tex]m_1 = - \frac{1}{m}[/tex]

=> [tex]m_1 = - \frac{1}{ \frac{1}{4}}[/tex]

=> [tex]m_1 = -4 [/tex]

Generally from the univesal equation of a line and the given point we have that

y = mx + c at p(0,0) and [tex]m_1 = -4[/tex] is

0 = -4 (0 ) + c

=> c = 0

Hence the equation perpendicular to the line given at the point given is

[tex]y = -4 x[/tex]

Recall From Intermediate Algebra That Two Non-vertical Lines Are Perpendicular If And Only If They Have

Related Questions

Dimensions of a rectangular section of forest land are 5.5×10 to the 5th m in 4.2 times complete the following sentences

Answers

Answer:

Step-by-step explanation:

2.31x10⁴

The graph represents the solution set to whatcha inequality?

Answers

Answer:

The Answer is C y > -[tex]\frac{4x}{5}[/tex] + 5

Step-by-step explanation:

Graph the inequality by finding the boundary line, then shading the appropriate area such as the graph below

how to write number 11 in word form​

Answers

The number 11 is eleven

Answer:

Eleven

Step-by-step explanation:

~I hope I helped you! :)~

5jx(4628j+92759375738.845647398k)/8664386847j+9464h

Answers

Answer:

7657897vhbhjgiyfutvbvgj .jhvbjh76567

Step-by-step explanation:

ilyvlkvlhv8nkbh;k.h

:)

if there ar 10 people in the bus
and 5 get off
and 40 more come in
total people in the bus can be only 30
is the number people in bus more than toatal people or less

Answers

Answer:

no there are more people than total people

Step-by-step explanation:

10 - 5 + 40 = 45

45 is frater than 30

hence there are more people than total

what is the model of 1/4 divided by 3

Answers

Answer:

bust a uhhh

Step-by-step explanation:

ya dig

The answer to this question will be 0.08

The area of a rectangle is x²-4x-21
Write down an expression for the width and the length of
the rectangle.​

Answers

Answer:

Step-by-step explanation:

Area of rectangle= Length x Width

and the given Area is a quadratic expression

A=[tex]x^{2} -4x-21[/tex]

We use the factorization method so,

we need 2 numbers that when multiplied we get -21 and when we add/subtract we get -4 so,

A=[tex]x^{2} -7x+3x-21[/tex]

now we simplify,

A=[tex]x(x-7)+3(x-7)[/tex]

A=[tex](x-7)(x+3)[/tex]

This looks familiar doesn't it, when we write the formula for the area of rectangle its

A= Length x Width and the equation here shows that

A= [tex](x-7)(x+3)[/tex]

So the expression for the length is x-7 and

the expression for the width is x+3 i think u have missed maybe some information on the question as such that the perimeter might be missing because length could be either x-7 or even x+3 same goes for width maybe someone can correct me if im wrong

The.diagram.shows a window in the shape of a square. Each side of the square measures 8(square root sign) 5 centimeters, and the area of.the square is 32x square centimeter, what is the value of x? A.) 5 B.) 10 C.) 20 D.) 40

Answers

Answer:

hey you ever find the answer?

Step-by-step explanation:

Answer:

im stuck on the same question.

Step-by-step explanation:

PA-CYBER SUCKS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Complete the sequence.

37.25​, 35.5​, 33.75​, __, __.

Answers

Answer:

37.25​, 35.5​, 33.75​, 32, 30.25.

Step-by-step explanation:

Subtract the first term from the second term:

35.5 - 37.25 = -1.75

Subtract the second term from the third term:

35.5 - 33.75 = -1.75

The common difference is -1.75.

To find each subsequent term, add the common difference to the current term.

33.75 + (-1.75) = 32

32 + (-1.75) = 30.25

Answer:

37.25​, 35.5​, 33.75​, 32, 30.25.

Ari rents the bike for 4 hours, and Meg rents the scooter for 3 hours. What is the total cost of the rentals?
The Total cost of the bike and scooter
rental is $___

Answers

Answer: it’s 66 I got it right

Step-by-step explanation:

Answer:

The answer will be 66 !!

Step-by-step explanation:

The answer will be 66 because if you look at the chart you can see how much money is cost to rent a bike for each hour. So for Ari, as he rented a bike it costs 9 dollars per hour. So Ari rented the bike for 4 hours, so multiply 4x9=36. Now for Meg, she rented a scooter for 3 hours, each hour means 10$. Now 3x10=30, Then just add 36+30 you get 66!

The graph of y = -3x + 4 is:

Answers

Answer:

(0,4)

Step-by-step explanation:

What is 23.2639 rounded to the nearest hundredth?

Answers

Answer:

23.26

Step-by-step explanation:

I hope is helps and I hope you get right but I tried at least.

Answer:

23.26

Step-by-step explanation:

A simple search on rounding calculator and i took the k-12 test and got it right

Brad has groups of 10 pennies. Brad counts 40, but he has 6 more stacks to count. How many pennies does he have? Explain your answer to a family member or friend

Answers

Answer:

100 pennies

Step-by-step explanation:

each stack is 10 pennies. brad has 4 stacks which equal 40 and has 6 more stack which qual 60. 40+60=100

The number of pennies he has is 100 pennies.

Given,

Brad has groups of 10 pennies.

Brad counts 40, but he has 6 more stacks to count.

We need to find how many pennies he has.

How do we find the total number of given groups?

If each group has 20 items the total number of items for M groups is:

= M x 20

We multiply the total number of groups with the number of items in each group.

We have,

1 group = 10 pennies

Brad counts 40 and 6 more stacks to go.

This means 4 groups have been counted.

= 4 x 10

= 40 pennies

Now 6 more stacks:

= 6 x 10

= 60 pennies

Now,

Total number of pennies:

= 40 + 60

= 100 pennies

Thus the number of pennies he has is 100 pennies.

Learn more about percentage errors in counting pennies here:

https://brainly.com/question/14277927

#SPJ2

A market researcher collects a simple random sample of customers from a population of over a million​ customers that use a home improvement website. After analyzing the​ sample, she states that she has​ 95% confidence that the mean​ time customers spent on​ that website per day is between and minutes. Suppose that the population mean​ time customers spent on that website is minutes a day. Does this value of the population mean help to show that the confidence interval estimate is​ correct? Explain.

Answers

Answer:

No, because the population mean, μ, is not included within the confidence interval estimate.

Step-by-step explanation:

A (1 - α)% confidence interval for a population parameter can be used make inferences about a statistic test of the parameter.

Decision rule:

If the null value of the population parameter is included in the interval then the null hypothesis will not be rejected. And vice-versa.

In this case, a market researcher wants to determine whether the population mean​ time customers spent on that website is 13 minutes a day or not.

The hypothesis can be defined as follows:

H₀: The population mean​ time customers spent on that website is 13 minutes a day, i.e. μ = 13.

Hₐ: The population mean​ time customers spent on that website is different from 13 minutes a day, i.e. μ ≠ 13.

The 95% confidence interval that the mean​ time customers spent on​ that website per day is, (15, 50).

The 95% confidence interval for the population mean time does no consist of the null value. Thus, the null hypothesis will be rejected.

It can be concluded that the population mean​ time customers spent on that website is not 13 minutes. Since the 95% confidence interval consist of values more than 13 minutes, it can be said that the  mean​ time customers spent on that website is more than 13 minutes.

Thus, the answer is:

No, because the population mean, μ, is not included within the confidence interval estimate.

8 over 12 divide 7 over 8

Answers

Answer: 19/25

Step-by-step explanation: 8/12 / 7/8 is (rounded) 0.76, and 0.76 as a fraction is 19/25.

a number is taken away from 13 and the result is 4 what is the number?​

Answers

Answer:

9

Step-by-step explanation:

13-9= 4

The result should be 9

On Friday, the temperature changes -3celsius each hour. If the temperature changed for 7 hours, what is the total temperature change?

Answers

Answer:

-21 degrees

Step-by-step explanation:

Find 3 ratios that are equivalent to the given ratio. 6/9

Answers

Answer:

2:3

12:18

18:27

Step-by-step explanation:

Answer:

In order to get equivalent ratios, we can just multiply by a factor! Lets use the factors of 2, 3, 4.

So we have:

[tex]2 * \frac{6}{9}=\frac{2*6}{2*9}=\frac{12}{18}[/tex]

As well as:

[tex]3 * \frac{6}{9}=\frac{3*6}{3*9}=\frac{18}{27}[/tex]

And finally:

[tex]4 * \frac{6}{9}=\frac{4*6}{4*9}=\frac{24}{36}[/tex]

help please (see below)

Answers

Answer:

The quotient is 10x + 16

The remainder is [tex]28x^2 + 10x +22[/tex]

706.5 - 549.5 divided by 6 | SIMPLIFIEDDD giving 5O POINTS mark BRAINLIEST

Answers

Answer: 2.166 repeating

More info

Subtract 706.5 - 549.5

That equals 157.

Divide 157 by 6

You get 2.1666666667, or 2.166 repeating

it would be 614.916666 with the 6 going on forever because you know PEMDAS

HELP ASAP!!!WILL GIVE BRANLIST

Answers

Answer:

See photo below

I hope this helps!

Answer:

you see the top u take a line and put it right through the 2 top coners and put a line there.

Step-by-step explanation:

Add. Simplify your answer.

4 4
— + — =
9 9

Answers

the answer to your problem is:

8
_

9

When do we use = and when do we use ~
=​

Answers

When we use this = it means it is the exact
answer
When we use ≈ it means it is an estimated answer and not the exact answer Example 12.4684729572974729758328 ≈ 12

You are given the sample mean and the population standard deviation. Use this information to construct the​ 90% and​ 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals.

From a random sample of 74 ​dates, the mean record high daily temperature in a certain city has a mean of 85.22 degrees F. Assume the population standard deviation is 13.97 degrees F.

Answers

Answer:

Very confused! at 95% confidence level, the true population mean will be between 134.33 and 145.67.

Step-by-step explanation:

A random sample of 45 home theater systems has a mean price of ​$140.00

Assume the population standard deviation is ​$19.40

population standard deviation is 19.40

sample size is 45.

standard error of the sample mean is 19.40 / sqrt(45) = 2.89198

at 90% confidence level, critical z is plus or minus 1.645.

at 95% confidence level, critical z is plus or minus 1.96.

critical raw score will be sample mean plus or minus critical z-score * standard error of the mean.

your sample mean is 140.

your standard error of the mean is 2.89198

at 90% confidence level, your critical raw score will be 140 plus or minus 1.645 * 2.89198.

that becomes 140 plus or minus 4.76 rounded to the nearest penny.

at 90% confidence level, the true population mean will be between 135.24 and 144.76.

at 95% confidence level, your critical raw score will be 140 plus or minus 1.96 * 2.89198.

that becomes 140 plus or minus 5.67 rounded to the nearest penny.

Using the z-distribution, it is found that:

The 90% confidence interval for the population mean is (82.55, 87.89). It means that we are 90% sure that the true population mean is between these two values.The 95% confidence interval for the population mean is (82.04, 88.40). It means that we are 95% sure that the true population mean is between these two values.The higher the confidence level, the higher the critical value is, and thus, a higher confidence level leads to a wider interval.

We are given the standard deviation for the population, and thus, the z-distribution is used.

The information is:

Sample mean of [tex]\overline{x} = 85.22[/tex].Population standard deviation of [tex]\sigma = 13.97[/tex].Sample size of 74, thus [tex]n = 74[/tex].

A z-confidence interval is given by:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

We have to find the critical value, which is z with a p-value of [tex]\frac{1 + \alpha}{2}[/tex], in which [tex]\alpha[/tex] is the confidence level.

For the 90% confidence interval, [tex]\alpha = 0.9[/tex], thus, z with a p-value of [tex]\frac{1 + 0.9}{2} = 0.95[/tex], which means that it is z = 1.645.

Then, the 90% confidence interval is:

[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 85.22 - 1.645\frac{13.97}{\sqrt{74}} = 82.55[/tex]

[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 85.22 + 1.645\frac{13.97}{\sqrt{74}} = 87.89[/tex]

The 90% confidence interval for the population mean is (82.55, 87.89). It means that we are 90% sure that the true population mean is between these two values.

For the 95% confidence interval, [tex]\alpha = 0.95[/tex], thus, z with a p-value of [tex]\frac{1 + 0.95}{2} = 0.975[/tex], which means that it is z = 1.96.

Then, the 95% confidence interval is:

[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 85.22 - 1.96\frac{13.97}{\sqrt{74}} = 82.04[/tex]

[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 85.22 + 1.96\frac{13.97}{\sqrt{74}} = 88.40[/tex]

The 95% confidence interval for the population mean is (82.04, 88.40). It means that we are 95% sure that the true population mean is between these two values.

The higher the confidence level, the higher the critical value is, and thus, a higher confidence level leads to a wider interval.

A similar problem is given at https://brainly.com/question/22596713

Which type of data is most appropriate to display in the data below

Answers

Please show us the picture before you ask the question

Please help due Monday

Answers

Answer:

1. 43, 45, and 47

2. 50, 52, and 54

3. 47 years old

4. 106 degrees

5. 66 degrees

Step-by-step explanation:

1. Let's assume that the first number in the three consecutive odd numbers is x.

We can write an equation to express this now. [tex]x + (x+2) = (x+4) + 41[/tex].

Combining like terms, we get [tex]2x+2 = x+45[/tex]. Subtracting by (x+2) on each side, we get [tex]x = 43[/tex]. Since the smallest number is 43, we can find the two larger numbers as well, since they are 2 more than one another. Therefore, the numbers are 43, 45, and 47.

2. Let's assume that the first number in the three consecutive even integers is x.

We can write an equation to express this now. [tex]x + (x+2) = (x+4)+48[/tex]

Combining like terms, we get [tex]2x+2 = x+52[/tex]. Subtracting by (x+2) on each side, we get [tex]x = 50[/tex]. Since the smallest number is 50, we can find the two larger numbers as well, since they are 2 more than one another. Therefore, the numbers are 50, 52, and 54

3. We can write his current age in years as x. Next year, his age will be x+1. We know that the sum of his current age and his age next year is 73, so we can write an equation to express this.

[tex]x + (x+1) = 73[/tex]. Therefore, 2x + 1 = 73, or 2x = 72. This means that x = 36, or his current age is 36. In 11 years, his age will be 36 + 11 = 47 years old.

4. [tex](21x+1) + (14x+4) = 180[/tex]. Combining like terms, we get [tex]35x + 5 = 180[/tex] Subtracting by 5 on both sides, we get [tex]35x = 175[/tex] This means that [tex]x = 5[/tex]. Now, we can find the degree measures of both angles and find the larger one. The degree measure of the angle on the left is 21(5) + 1 = 106 degrees, and the degree measure of the angle on the right is 14(5) + 4 = 74 degrees. Therefore, the degree measure of the larger angle is 106 degrees.

5. We know that the sum of the angles in a triangle is 180 degrees. Therefore, we can sum the angles up and equate them to 180 degrees.

(x-24) + (2x-108) + (1/3x+12) = 10/3x - 120 = 180. Adding 120 to both sides, we get 10/3x = 300. Multiplying both sides by 3/10, we get x = 900/10 = 90. Therefore, plugging in x = 90, we get 66 degrees.

Is F=9/5C proportional?

Answers

Answer:

No, it is not

Step-by-step explanation:

Answer:

No it is not

Step-by-step explanation:

Justify each step using property of equality. -6(-p+8) = -6p + 12

Answers

Answer:     -36

Step-by-step explanation: distribute -6 through the parentheses 6p-48-6p+12 since two opposites add up tp zero remove them from the expression -48+12

                          ANSWER -36

how many terms are in the expression shown? 2n+5-3p+4q

Answers

Answer:

3

Step-by-step explanation:

2n

3p

4q

Answer:

The one on top of me is wrong.

Step-by-step explanation:

There are 4 terms in this expression

At the market, 8 batteries cost $10,
How much do 6 batteries cost?

Answers

Answer:

$7.50

Step-by-step explanation:

You can use proportions to find that 8/10 = 6/x

then you can multiply 10 by 6 and divide the result by 8 to get the answer.

You can also divide 10 by 8 to get 1.25 and multiply it by 6, as 10 divided by 8 gives you the unit rate, or the price of each battery. Then you multiply it by 6 to get 7.5, or the cost of 6 batteries.

Hope this helps!

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