The line y+2x=b is perpendicular to a line that passes through the origin. If the two lines intersect at one point (k+2,2k), what is the value of k?​

Answers

Answer 1

Answer:

The line y+2x=b is perpendicular to a line that passes through the origin. If the two lines intersect at the point (k+2,2k)

Step-by-step explanation:

that should be right

Answer 2

The value of k is 2/3.

We have,

To determine the value of k, we need to find the equation of the line passing through the origin that is perpendicular to the line y + 2x = b.

The given line, y + 2x = b, can be rewritten in slope-intercept form

(y = mx + c) by solving for y:

y = -2x + b

Since the line passing through the origin is perpendicular to this line, its slope will be the negative reciprocal of the slope of the given line.

The given line has a slope of -2, so the perpendicular line will have a slope of 1/2.

Using the point-slope form (y - y1 = m(x - x1)) with the point (k + 2, 2k), we can write the equation of the perpendicular line passing through the origin as:

y - 0 = (1/2)(x - 0)

y = (1/2)x

To find the value of k, we equate the y-values of the two lines at the point of intersection:

(1/2)x = 2k

x = 4k

Since the x-coordinate of the point of intersection is k + 2, we can set it equal to 4k and solve for k:

k + 2 = 4k

2 = 3k

k = 2/3

Therefore,

The value of k is 2/3.

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Related Questions

What is 19,067 divided by 43

Answers

Answer:

443.418604651

Step-by-step explanation:

Thank you for the points!

What is the diference between the
largest and the smallest 4 digit numbers​

Answers

largest 4 digit number : 9999

smallest 4 digit numbers : 1000

Difference = 9999 - 1000 = 8999

A student finds a positive correlation between the number of beds in a home and the number of plates in the kitchen.

Which variable is most likely the lurking variable that explains the correlation?




A: height of tallest person in the home

B: age of oldest person in the home

C: number of children in the home

D: number of pets in the home

im not doing great in math and i really need some help with this

Answers

C. The number of people in the home. This is because the more people in the house, more people are eating and using plates and there are going to be more beds for everyone to sleep on.

Answer:

here you go this is for confirmation

Step-by-step explanation:

You have 60 ft of fence to make a rectangular vegetable garden alongside the wall of your house. The wall of the house bounds one side of the vegetable garden. What is the largest possible area of the vegetable garden?

Answers

Answer:

400 ft²

Step-by-step explanation:

The maximum area of a rectangle results from it being a square. The rectangle (or square) must have 4 equal sides in order to maximize area. But in this case, one side is a wall. That means that the remaining three sides will be = 60 / 3 = 20 feet long. You formed an square that is 20 ft x 20 ft = 400 ft²

equivalent fraction of 6/126

Answers

Answer:

1/21

Step-by-step explanation:

Answer:

1/21

Step-by-step explanation:

6/126 = 1/21 because 6 divided by 6 equals 1 and 126 divided by 6 equals 21.

helppppp please will give brainlist ​

Answers

Answer:

D or answer 4                   y=-5/2x+7

Step-by-step explanation:

Well we can first start of by finding the y-intercept.

Note that when x=0, you can find your y-intercept.

Knowing this, and looking at the table, 7 is the y-intercept because when y=7, x=0.

So we can eliminate choices 'a' and 'c,' or answers 1 and 3, because they have the y-intercept as -7, when it's just 7.

Please know that in the equation:

y = mx + b

y = y-coordinate or any given point

mx = slope

b = y-intercept

Now we must find slope

To find the slope we need to do:

(y2 - y1) / (x2 - x1) or rise/run

The two coordinates I choose to use is (0, 7) and (6, -8).

(-8 - 7) / (6 - 0) = -5/2

-5/2 is the slope

Finally, look for an equation that has 7 as the y-intercept and -5/2 as the slope.

Answer: D or answer 4

If the graph of f(x) = is translated right 9.5 units and up unit, which function represents the resulting graph? g(x) = – 9.5 g(x) = + 9.5 g(x) = – g(x) = +

Answers

Answer:

the answer is d

Step-by-step explanation:

edenuity2020. also I just did it

URGENT WILL GIVE BRAINLIEST——-Which of the following functions is quadratic?

Answers

Answer:

D

Step-by-step explanation:

How many ?!!!!
?!!!
?!!

Answers

15

hope this helps you alot☺✌❤

If there are 7 girls and 8 boys on the school’s track team, what is the ratio of girls to boys? how would I answer in three different ways.

Answers

Answer:

7:8

7 to 8

7/8

Step-by-step explanation:

Answer:

49:56

7/8

.875

Step-by-step explanation:

Here's 3 different ways

what is the meaning of function

Answers

Answer:

A relationship or expression involving one or more variables

Step-by-step explanation:

Can anyone help me with this question of m

Answers

Answer:

<DBC=31

Step-by-step explanation:

<ABC=<ABD+<DBC

125=94+<DBC

125-94=<DBC

31=<DBC

Compare. Select <, >, or=.
3.568 ? 3.577

Answers

Answer:

3.568 < 3.577

Step-by-step explanation:

3.568 < 3.577

So 3.577 is greater than 3.568

Which system of inequalities can model Gabrielle’s situation, where x represents batches of brownies and y represents batches of cookies?

Answers

Answer:

2x + 2y ≤ 20

x + 3y ≤ 2

Step-by-step explanation:

this is the correct answer i got on my assignment-------

The system of inequalities can model Gabrielle’s situation is x + 2y ≤ 20

and 3x + 2y ≤ 21.

What are inequalities?

The relation between two expressions that are not equal, employing a sign such as not equal to’, >greater than’, or < less than’.

It follows from the task content, that the inequalities which can be used to model Gabrielle's situation be determined.

By setting variables as follows; batches of brownies = x and batches of cookies = y

Brownie:

Sugar = 1 cup

Eggs = 2

x + 2y ≤ 20

Cookie:

Sugar = 3 cups

Eggs = 2

3x + 2y ≤ 21

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Gabrielle is baking large batches of brownies and cookies to share with her friends and family. Among other ingredients, her brownie recipe calls for 1 cup of sugar and 2 eggs and her cookie recipe calls for 3 cups of sugar and 2 eggs. Gabrielle has 20 eggs and 21 cups of sugar, and she would like to know how many batches of brownies and cookies she can bake without getting more of these ingredients. Part A Question Which system of inequalities can model Gabrielle’s situation, where x represents batches of brownies and y represents batches of cookies?

Is 13 a solution to the compound inequality d>5 and x<10

Answers

Answer:

Step-by-step explanation:

13>5 is correct but 13 < 10 is not correct

so 13 is not a solution

Sam bought a video game console for $150. He later sold the video game console for 13/12 of price he originally paid. Which statement about the price sam sold the video game consol for is true?

Answers

Answer:

1/45

Step-by-step explanation:

Give two reasons why it's impossible to draw triangle PQR m angle Q=103^ m angle R=47^ p = 44 q = 12 , and f = 31

Answers

Answer:

It is impossible becuase it would not eqaul the numbers a regular triangles would have. A triangle has to equal a certain number and this number does not make a traingle.

Reason 1: The hypotenuse is invalid, because 44^2 does not equal 12^2 + 31^2.

Reason 2: The angles measures do not correlate properly to their assigned letter sides (at least to me). Additionally, 30 degrees just doesn't make any sense from a logical standpoint.

1. Given the equation Ax + By = 600 and the x-intercept is (60,0) and the y-intercept is (0,25)
what are the values of A and B?
A =
B=

Answers

A=60 B=25
Hope this helps

Sasha spent $7.00 of the $20.00 in her wallet. Which decimal represents the fraction of the $20.00 Sasha spent?

Answers

Answer:

0.7

Step-by-step explanation:

Answer:

0.35

Step-by-step explanation:

can someone help me pls

Answers

3/7 is bigger than 1/4 common denominator: 28

Combine like terms: 4 - 3m - 1 + 2m

Answers

Answer:

-m+3

Step-by-step explanation:

4 - 3m - 1 + 2m

4-1-m

-m+3

WILL MARK BRAINIEST!!!!!!!!!!! PLEASE HELP ASAP

The figure below shows the location of 3 points around a lake. The length of the lake, BC, is also shown. A picture of a right triangle ABC with right angle at B is shown. The length of the side AC is labeled as 8 miles. The length BC of the triangle is labeled as 6 miles. This length BC is also the length of an irregular gray shaded shape. Which of the following options is closest to the distance (in miles) between points A and B?
A.) 2.24
B.) 2.65
C.) 3.74
D.) 5.29

Answers

Answer:

I think B but I'm not sure

Step-by-step explanation:

Answer:

B i think

Step-by-step explanation:

you're welcome <3

find the missing value of 6/9 = m/6​

Answers

Answer: 4

Step-by-step explanation:

6/9 = m/6  We can multiply both sides of the equation by 6 to solve for m

so we get 36/9 = m. m = 4

what is 3(x – 6) = -12x - 9

Answers

Answer:

x = 3/5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(x−6)=−12x−9

(3)(x)+(3)(−6)=−12x+−9(Distribute)

3x+−18=−12x+−9

3x−18=−12x−9

Step 2: Add 12x to both sides.

3x−18+12x=−12x−9+12x

15x−18=−9

Step 3: Add 18 to both sides.

15x−18+18=−9+18

15x=9

Step 4: Divide both sides by 15

15x/15 = 9/15

  so x = 3/5

plz mark brainly

Alex and two friends paid $21.75 to see a movie.How much did each
ticket cost

Answers

Answer:

Alex and his two friends had to pay $ 7.25 for a ticket.

Step-by-step explanation:

simply divide $21.75 by 3

Answer:

i believe its $7.25

Step-by-step explanation:

$21.75 divided by 3 = $7.23

Help!!!! I don't get this!!!!!!

Answers

Answer:

C

Step-by-step explanation:

One pound (lb) is equal to 16 (oz). So, if you are trying to find how many ounces are in one pound, you have to divide the number of pounds by the 16,   the amount of ounces in one pound.

It’s C

Because if you see you I searched it up and it said that the answer was C simple

2. Multiply the following:
a. 3.5(x)

Answers

Answer:

3.5x

Step-by-step explanation:

3.5(x)=3.5x

What is the probability that a normal random variable will take a value that is less than 1.05 standard deviations above its mean?

Answers

Complete Question

What is the probability that a normal random variable will take a value that is less than 1.05 standard deviations above its mean? In other words, what is P(Z < 1.05)

A 0.8531

B 0.1468

C 0.9332

D 0.0668

Answer:

The correct option is  A

Step-by-step explanation:

Generally from the z table  the area under the normal curve to the left corresponding to  1.05 is

     [tex]P(Z < 1.05) = 0.8531[/tex]

Identify the critical t. An independent random sample is selected from an approximately normal population with unknown standard deviation. Find the degrees of freedom and the critical t value t∗t∗ for the given sample size and confidence level. Round critical t values to 3 decimal places.Sample size, n Confidence level Degree of Freedom Critical value, t∗t∗5 90 13 95 22 98 15 99

Answers

Answer and Step-by-step explanation: The critical value for a desired confidence level is the distance where you must go above and below the center of distribution to obtain an area of the desired level.

Each sample has a different degree of freedom and critical value.

To determine critical value:

1) Calculate degree of freedom: df = n - 1

2) Subtract the level per 100%;

3) Divide the result by 2 tails;

4) Use calculator or table to find the critical value t*;

For n = 5 Level = 90%:

df = 4

t = [tex]\frac{1-0.9}{2}[/tex] = 0.05

Using t-table:

t* = 2.132

n = 13 Level = 95%:

df = 12

t = [tex]\frac{1-0.95}{2}[/tex] = 0.025

Then:

t* = 2.160

n = 22 Level = 98%

df = 21

t = [tex]\frac{1-0.98}{2}[/tex] = 0.01

t* = 2.819

n = 15 Level = 99%

df = 14

t = [tex]\frac{1-0.99}{2}[/tex] = 0.005

t* = 2.977

The critical values and degree of freedom are:

sample size          level           df              critical value

     5                      90%           4                   2.132

   13                       95%            12                 2.160

   22                      98%            21                 2.819

   15                       99%            14                 2.977

pls help me with long division

Answers

86÷3 =

*The divisor is 3 and the dividend is 86

First step: How many 3's can fit into 8? (8÷3)

8÷3 = 2 r 2

Second step: add a 2 above the eight in the tens place of the answer.

86÷3 = 2_

Third step: multiply 3 x 2; 3 x 2 = 6;

In this step, we put a 6 underneath the 8.

Fourth step: Subtract.

In this step, we subtract 8-6 (=2)

Fifth step: bring down the next number. In this case, it is 6.

In this step, we now have the number 26.

Sixth step: How many 3's can fit into 26? (26÷3)

26÷3 = 8 r 2

Last step: Now put an 8 in the one's place and now we have a remaining 2. That is called the remainder. We put the remainder and represent it as "r". We put r2.

I hope this was easy for you to understand!

Answer:

Step-by-step explanation:

  2  8 R2

3[tex]\sqrt{86[/tex]

-  6  

-------------

    26

-    24

-----------

     0  2

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