Line m is mapped onto line n by a dilation centered at the origin with a scale factor of 2. The equation of line m is 3x−2y=63x-2y=63x−2y=6 . Find the equation for line n showing all work for full credit.

Answers

Answer 1

9514 1404 393

Answer:

  3x -2y = 12

Step-by-step explanation:

The constant in the standard form equation for a line is proportional to the distance of the line from the origin. Dilation by a factor of 2 moves the line to twice its original distance from the origin. The equation of the new line will have the constant 2×6 = 12:

  3x -2y = 12

_____

Additional comment

The actual distance of line ax+by=c from the origin is ...

  d = |c|/√(a²+b²)

The distance from any point in the plane to the line is ...

  d = |ax +by -c|/√(a²+b²)

The previous equation is for the special case of (x, y) = (0, 0), the distance from the origin.

Line M Is Mapped Onto Line N By A Dilation Centered At The Origin With A Scale Factor Of 2. The Equation

Related Questions

Help fast no links !! Scott wishes to make a line plot of the heights in inches for a
basketball team. The heights are listed below. Which line plot
represents the data correctly?
74 79 78 79 82
73 82 81 80 84
74 76 69 78 84

Answers

Answer:

c

Step-by-step explanation:

hope it helps[]~( ̄▽ ̄)~*

Answer:

c

Step-by-step explanation:

c because it’s most likely correct and I took the test

hope it helps

If the sales tax rate is 7.25% in a town in California, then how much would be the full price for a pair of shoes that cost $39

Answers

Answer:

Total cost= $41.83

Step-by-step explanation:

Giving the following information:

Purchase price= $39

Tax rate= 7.25% = 0.0725

To calculate the total cost of the pair of shoes, we need to use the following formula:

Total cost= purchase price * (1 + tax rate)

Total cost= 39 * 1.0725

Total cost= $41.83

solve for x please answer this question ​

Answers

Answer:

<15

Step-by-step explanation:

A flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is 30 feet more than the length of the shortest side. Find
the dimensions if the perimeter is 198 feet.
What is the length of the shortest side?
The length of the shortest side is

Answers

Answer:

The three sides are 36 f t ,  72 f t  and  59 f t .

Step-by-step explanation:

Let the length of the shortest side of the triangular flower bed be x feet.

Then the length of the second side is 2x and

the length of the third side is  x + 23

The given perimeter is  167 f t  hence:

x+2x+x+23=167

4x+23=167

4x=167-23

4 x = 144

x = 144 /4 = 36

2 x = 2 ⋅ 36 = 72

x +23 = 36 + 23 = 59

The length of the three sides of the triangular flower bed are 36 f t ,  72 f t  and  59 f t .

Go step by step to reduce the radical sqrt 180

Answers

Answer:

6√5

Step-by-step explanation:

REMEMBER THE REMAINDER

Answer:

6[tex]\sqrt{5}[/tex]

Step-by-step explanation

1. Factor 180 into square numbers

180 = 9*4*5

2. [tex]\sqrt{180}[/tex] = [tex]\sqrt{9*4*5}[/tex]

3. Bring out the square numbers to the outside of the square root.

4. 3*2[tex]\sqrt{5}[/tex] = 6[tex]\sqrt{5}[/tex]

Can someone please help me ASAP

Answers

The angle looks like 86

Find the volume of the composite figure. Round your answer to the nearest hundredth.
A. 509.77 mm
B.
589.24 mm
C. 590.77 mm
D. 598.24 mm

Answers

Answer:

c. 590.77

Step-by-step explanation:

on e2020 :)

Please help quickly as possible thank you! :) ​

Answers

Answer:

ertgyhj

Step-by-step explanation:

Answer:

B. 80 students

Step-by-step explanation:

[tex]\frac{56}{y} :\frac{70}{100}[/tex]

y · 70 = 56 · 100

70y = 5600

70y ÷ 70 = 5600 ÷ 70

y = 80

Will give brainliest please help


Calculate.
35C12
Note: C
n C₂ =
n!
r!(n-r)!

Answers

Answer:

35C12 = 834451800

Step-by-step explanation:

.............

The solution of the given expression is 3.33  x  10⁹.

What is the combination?

The arrangement of the different things or numbers in a number of ways is called the combination.

The solution will be:-

[tex]^{35}{C_{12}=\dfrac{35!}{12!\ 23!}\\\\\\\\\\\\\\^\\35}{C_{12}=\dfrac{35\times 34\times 33\times32\times 31\times 30\times 29\times 28\times 27\times 26\times 25\times 24}{12\times 11\times 10\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times }\\\\\\[/tex]

[tex]^{35}{C_{12}=3.33\times 10^9[/tex]

Therefore the solution to the given expression will be [tex]^{35}{C_{12}=3.33\times 10^9[/tex]

To know more about combinations follow

https://brainly.com/question/11732255

#SPJ2

Can someone help please with unit 12 homework 7??

Answers

Answer:

See answers below

Step-by-step explanation:

Using the sin rule

a/sinA = b/sinB = c/sinC

a) x/sin110 = 16/sin27

xsin27 = 16sin110

xsin27  = 15.035

x = 15.035/sin27

x = 33.1

2) Using the cosine rule;

x² = 30²+14²-2(30)(14)cos125

x²  = 900 + 169 - 840cos125

x²   = 1069 - 840(-0.5735)

x² = 1069 +481.80

x² = 1,550.80

x =39.4

3) 28² = 18²+12²-2(18)(12)cosx

784 =  324 + 144- 432cosx

784 - 468 = - 432cosx

316 = - 432cosx

Cos x = -316/432

x = - 42.99

x = 180 - 42.99

x = 137.0 degrees

4) Using the sine rule

20/sinx = 33/sin91

33sinx = 20sin91

sinx = 20sin91/33

sinx = 19.997/33

sinx = 0.6059

x = arcsin(0.6059)

x = 37.3degrees

A recent study1 examines chocolate’s effects on blood vessel function in healthy people. In the randomized, double-blind, placebo-controlled study, 11 people received 46 grams (1.6 ounces) of dark chocolate (which is naturally flavonoid-rich) every day for two weeks, while a control group of 10 people received a placebo consisting of dark chocolate with low flavonoid content. Participants had their vascular health measured (by means of flow-mediated dilation) before and after the two-week study. The increase over the two-week period was measured, with larger numbers indicating greater vascular health. For the group getting the good dark chocolate, the mean increase was 1.3 with a standard deviation of 2.32, while the control group had a mean change of -0.96 with a standard deviation of 1.58.
Find a 90% confidence interval for the difference in means between the two groups MC-MN , where MC represents the mean increase in flow-mediated dilation for people eating dark chocolate every day and MN represents the mean increase in flow-mediated dilation for people eating a dark chocolate substitute each day. You may assume that neither sample shows significant departures from normality.
Round your answers to two decimal places.

Answers

Answer:

CI = (0.68, 3.84)

Step-by-step explanation:

We want to find the confidence interval for the difference in means between the two groups MC and MN.

where;

- MC represents the mean increase in flow-mediated dilation for people eating dark chocolate every day.

- MN represents the mean increase in flow-mediated dilation for people eating a dark chocolate substitute each day.

We are given;

Sample mean of C; x'c = 1.3

Sample mean of N; x'n = -0.96

Standard deviation of C; S_c = 2.32

Standard deviation of N; S_n = 1.58

Sample size of C; n_c = 11

Sample size of N; n_n = 10

Formula for the confidence interval for the difference in means is;

CI = (x'c - x'n) ± t√[(S_c²/n_c) + (S_n²/n_n)]

Where t is critical value at confidence level. From table attached, t at CL of 90% with DF = 10 - 1 = 9 is; t = 1.833

Thus;

CI = (1.3 - (-0.96)) ± 1.833√[(2.32²/11) + (1.58²/10)]

CI = [(1.3 + 0.96)) - 1.833√[(2.32²/11) + (1.58²/10)], [(1.3 + 0.96)) + 1.833√[(2.32²/11) + (1.58²/10)]

CI = (2.26 - 1.58), (2.26 + 1.58)

CI = (0.68, 3.84)


HELP HELP HELP HELP

What is the equation of the trend line in the scatter plot ?

Answers

suck goes



sss toes


asks me xncnc


HELP

What is the equation of the trend line in the scatter plot ?

Answers

Answer:

y= -2/3x+9

Step-by-step explanation:

just do y=mx+b

Mia agrees to borrow a 3-year loan with 4% simple interest to buy a motorcycle.

Part A
If Mia will pay a total of $444 in interest, how much money did she initially borrow? Enter your answer in the box.

$

Part B
How much interest would Mia pay if the simple interest rate were 5%? Enter your answer in the box.

Answers

Answer:

part a: she borrowed 3,700

part b: she would pay 555 interest

Step-by-step explanation:

It is known that screws produced by a certain company will be defective with probability 0.01, independently of each other. The company sells the screws in packages of 10 and offers a money-back guarantee that at most 1 of 10 screws are defective. That is, the package would have to be replaced if greater or equal to 2 screws are defective. What proportion of packages sold must the company replace

Answers

Answer:

The company must replace 0.0042 = 0.42% of packages.

Step-by-step explanation:

For each screw, there are only two possible outcomes. Either it is defective, or it is not. The probability of an screw being defective is independent of any other screw. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

It is known that screws produced by a certain company will be defective with probability 0.01.

This means that [tex]p = 0.01[/tex]

The company sells the screws in packages of 10

This means that [tex]n = 10[/tex]

That is, the package would have to be replaced if greater or equal to 2 screws are defective. What proportion of packages sold must the company replace?

This is:

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

In which:

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{10,0}.(0.01)^{0}.(0.99)^{10} = 0.9044[/tex]

[tex]P(X = 1) = C_{10,1}.(0.01)^{1}.(0.99)^{9} = 0.0914[/tex]

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.9044 + 0.0414 = 0.9958[/tex]

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9958 = 0.0042[/tex]

The company must replace 0.0042 = 0.42% of packages.

Ryan and Carl each get paid a basic pay of £60 per day.
One day, Ryan also gets a bonus of 25% of his basic pay.
Carl also gets £20 in tips from customers.
Work out the difference between the total amounts of money that Ryan and Carl each get.

Answers

Answer:

Difference between both pay = £5

Step-by-step explanation:

Given:

Basic pay of Ryan = £60 per day

Basic pay of carl = £60 per day

Ryan get bonus = 25% of basic pay

Carl get = £20 as tip

Find:

Difference between both pay

Computation:

Total of Ryan pay = 60 + 25%(60)

Total of Ryan pay = 60 + 15

Total of Ryan pay = £75

Total of Carl pay = 60 + 20

Total of Ryan pay = £80

Difference between both pay = 80 - 75

Difference between both pay = £5


Plz help me well mark brainliest if correct!!....ñ

Answers

B. A and C, they both have area of 48.

Answer:

Option B.

Step-by-step explanation:

Have a great day!

you don’t have to give Brainliest ;)

I really dont understand this stuff and i need answers asap. thank u

Answers

Answer:

45°

Step-by-step explanation:

∠A = 90° because AC is diameter of the circle P.

Since ABC is right triangle and ∠A is 45°, the remaining angle is also 45°:

m∠C = 45°

Please answer the question correctly with factual information for brainliest.

Answers

Answer:

Second Option

Step-by-step explanation:

[tex]5^2 + 7^2 = PQ^2[/tex] (pythagorean theorem)

[tex]PQ^2 =74[/tex]

[tex]PQ = \sqrt{74}[/tex]

Consider this system of equations. y=2x x+2y=15

Answers

Answer:

x=3

y=6

Step-by-step explanation:

ez pz

Select the correct answer.
Solve the following equation by completing the square.
1/4x^2 + x + 1/4 = 0

Answers

Answer:

the answer is it the picture

Step-by-step explanation:

I think that's the answer

...I think...

i will give Brainiest if you are right

Answers

Answer:

D.

Step-by-step explanation:

The answer is 117

Answer: The answer is not listed

Step-by-step explanation:

find the rational number halfway between 1/5 and 1/6

Answers

yes that is the answer lol

Plz help me well mark brainliest if you are correct!.....

Answers

Answer:

The first one is the answer to the question

Determine if the two triangles shown are similar. If so, write the similarity statement.
Question 16 options:

A)

ΔSUD ∼ ΔTUE

B)

Impossible to determine.

C)

The triangles are not similar.

D)

ΔSUD ∼ ΔEUT

Answers

Answer:

C) The triangles are not similar.

Step-by-step explanation:

These triangles are not similar. Similar triangles are triangles with the same angle measurements and proportionate side measures. However, these sides are not proportionate and therefore the triangles are not similar. You can tell the sides are not proportionate because on one triangle the two given sides (which are corresponding with the other two given sides) are congruent but the other triangle has no congruent sides. This also means that the smaller triangle is isosceles while the larger one is scalene, and different triangle types cannot be similar.

A recipe requires 6 1/8 cups of milk Ran put in 3 7/8 cups and emptied a container. How much more milk does he need to put in?

Answers

Answer:

he would need 2 2/8 cups of milk

Step-by-step explanation:

you would just  need to subtract 3 7/8 from 6 1/8

6 1/8 - 3 7/8 = 2 2/8

Determine the volume of the composite figure!

Answers

Answer:

1017.88

Step-by-step explanation:

i used the formula of V=πr2h

3 a for the cone and then also 4

3πr3 for the sphere

plzmark branliest

Demetri wakes up at 9:15. It takes him
35 minutes to fold 4 loads of laundry,
35 minutes to bathe the dog, 45 minutes
to bake brownies, and 1 hour to mow the
lawn. After he finishes all of his chores,
he sits down to rest. What time does
Demetri rest?

Answers

Answer:

12:10

Step-by-step explanation:

We need to add up the times:

35 mins+ 35 mins + 45 mins+ 60 mins= 35+35+45+60= 175 mins

In hours, that would be 2 hrs, and 55 mins

So; 9:15 + 2 hrs and 55 mins= 12:10

14 095 X 70
pls help​

Answers

Step-by-step explanation:

14095×70986650 is yr ans.

stay safe healthy and happy.

What is the radius of a circle whose area is 36 cm2
A 18 cm
B. 6 cm
C. 72 cm
D. 36 cm
E. 24 cm

Answers

Answer:

your answer should be 6! :)

Other Questions
Which molecule is shown below?HH-C-HH H-C-C-C-C-C-C-H1 | | |H H H H H HO A. 2-ethylhexaneB. 2-methylhexaneC. 3-ethylhexaneD. 3-methylhexane . A sequence starts with 180, 120, . If the sequence is arithmetic, create a recursive and explicit formula for the sequence. If the sequence is geometric, create a recursive and explicit formula for the sequence. In a video game, the chance of rain each day is always 30%. At the beginning of each day in the video game, the computer generates a random integer between 1 and 50. Explain how you could use this number to simulate the weather in the video game.explain A car with a mass of 1580 kg moves with a kinetic energy of 711,000 J. What is the car's speed? What is the complementary angle of:- 6 degrees- 21 degrees Jim is renovating his boutique. He wants to redo the display area of his store. Jim is paying special attention to the placement of the merchandise throughout the store. He wants to display it in a creative, aesthetically pleasing manner to attract customers. Jim is engaging in . How would you describe in detail the essential elements of a resistance training routine? (utilize sources to support your answer) In the federal and state levels of government, which branch is responsible for passing the budget before having it signed by an executive?A.joint branchB.judicial branchC.official branchD.legislative branch Video Planet (VP) sells a big screen TV package consisting of a 60-inch HDTV, a universal remote, and on-site installation by VP staff. The installation includes programming the remote to have the TV interface with other parts of the customer's home entertainment system. VP concludes that the TV, remote, and installation service are separate performance obligations. VP sells the 60-inch TV separately for $1,700, sells the remote separately for $100, and offers the installation service separately for $200. The entire package sells for $1,900.Required: How much revenue would be allocated to the TV, the remote, and the installation service? If 50 students were surveyed about their after-school sports, how many students play soccer? What is the primary purpose of a political action committee Signet Automobiles Inc. has launched a new sport utility vehicle (SUV). Its advertising firm develops a marketing message and places advertisements in leading newspapers and on social media sites to inform consumers about the new SUV and its various features. In the context of the communication process, Signet Automobiles is the _______. HELP ME PLEASEEEEEEEEEEEEEE Help please with this math ;-; I beg of you Why do you think the leaders of the newly independent "Gold Coast" changed thecountry'sname?I NEED THIS ASAPPP , PLEASE AND THANK YOU IF YOU HELP ME Ardem collected data from a class survey he then randomly selected samples of five responses to generate for samples A rocket is launched from a tower. The height of the rocket, y in feet, is related to thetime after launch, x in seconds, by the given equation. Using this equation, find thetime that the rocket will hit the ground, to the nearest 100th of second.y = -16x^2+ 181x + 59 Read the excerpt from Martin Luther King Jr.s "I Have a Dream speech.We can never be satisfied as long as the Negro is the victim of the unspeakable horrors of police brutality. We can never be satisfied as long as our bodies, heavy with the fatigue of travel, cannot gain lodging in the motels of the highways and the hotels of the cities. We cannot be satisfied as long as the Negro's basic mobility is from a smaller ghetto to a larger one.Why does King repeat the phrase "we can never be satisfied? Select 3 options.to inspire listenersto demand actionto explain racial differencesto show negativityto rally emotional supportto accept current treatmentPLZZ HELP I HAVE A TIMER Which is equivalent to 3 X 3 X 3 X 3 X 3 A 3x5 B 3^3 C 5^3 D 3^5 The spray from a spinning lawn sprinkler makesa circle with a 40 foot radius. If Ben and hisfriends what to play and get wet, how muchspace do they have?