Line m has the equation y = 1/2x - 4
If lines m and n are parallel to each other, which of the following equations could represent line n?
2x+y=4
2x-y=4
X+2y=4
X-2y=4

Answers

Answer 1

Answer:

As the slopes of both lines 'm' and 'n' are the same.

Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.

Step-by-step explanation:

We know that the slope-intercept of line equation is  

[tex]y=mx+b[/tex]

Where m is the slope and b is the y-intercept

Given the equation of the line m

y = 1/2x - 4

comparing with the slope-intercept form of the line equation

y  = mx + b

Therefore,

The slope of line 'm' will be = 1/2

We know that parallel lines have the 'same slopes, thus the slope of the line 'n' must be also the same i.e. 1/2

Checking the equation of the line 'n'

[tex]x-2y=4[/tex]

solving for y to writing the equation in the slope-intercept form and determining the slope

[tex]x-2y=4[/tex]

Add -x to both sides.

[tex]x - 2y + (-x) = 4+(-x)[/tex]

[tex]-2y = 4 - x[/tex]

Divide both sides by -2

[tex]\frac{-2y}{-2}=\frac{-x+4}{-2}[/tex]

[tex]y=\frac{1}{2}x-2[/tex]

comparing ith the slope-intercept form of the line equation

Thus, the slope of the line 'n' will be: 1/2

As the slopes of both lines 'm' and 'n' are the same.

Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.


Related Questions

Need help please and thank you

Answers

[tex]\boxed{\,1\,}\qquad\left(\dfrac23\right)\\\\\boxed{\,2\,}\quad27\left(\dfrac23\right) \\\\\boxed{\,3\,}\quad12\left(\dfrac23\right)\qquad \bold8\\\\ \boxed{\,4\,}\quad\ 9\,\left(\dfrac23\right)[/tex]

f(x) = -4x2 + 4x - 4
Find f(3)

Answers

Answer:

-28

Step-by-step explanation:

The solution is the value of f(3) = -28.

What is an expression?

An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

here, we have,

given expression is,

f(x) = -4x^2 + 4x - 4

now, we have to find the value of f(3).

so, we have to put x = 3, in the expression.

we get,

f(x) = -4x^2 + 4x - 4

f(3) = -4* 9 + 4*3 -4

or, f(3) = -36 + 12 -4

or, f(3) = -28

Hence, The solution is the value of f(3) = -28.

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For a charity event, raffle tickets are printed such that they have a vowel (excluding y) as the first character and a prime number less than 10 as the second digit. (Note that 1 is not a prime number.) The probability that the winning ticket has the vowel contained in the word event and the digit is the number of letters in the word event is

Answers

Answer:

P=5%

Step-by-step explanation:

In order to solve this problem, we can use the following formula for the probability of two independent events:

P(A and B)=P(A)*P(B)

so we need to find the probability for each event to happen.

They are asking for the probability that the winning  ticket will have the letter e on it. There are 5 vowels in the alphabet (a, e, i, o and u). Therefore the probability for the first letter to be e is:

[tex]P(A)=\frac{desired}{total}[/tex]

[tex]P(A)=\rac{1}{5}[/tex]

We also know there are 4 prime numbers between 0 and 10 (2, 3, 5, 7) so the probability for the number to be a 5 is:

[tex]P(B)=\frac{1}{4}[/tex]

so the probability of getting a ticket that starts with an e and ends with a 5 is:

P(A and B)=P(A)*P(B)

[tex]P(A and B)=(\frac{1}{5})(\frac{1}{4})[/tex]

[tex]P(A and B)=\frac{1}{20}[/tex]

so the probability is 5%

The probability that the winning ticket has the vowel contained in the word event and the digit is the number of letters in the word event is P=5%.

What is probability?

The chance of happening an event out of all the possible outcomes is called the probability of an event.

The probability of two independent events

P(A and B)=P(A)*P(B)

The probability that the winning ticket will have the letter e on it. There are 5 vowels in the alphabet (a, e, i, o and u). So, the probability for the first letter to be e is:

P(e) =1/5

There are 4 prime numbers between 0 and 10 (2, 3, 5, 7) so the probability for the number to be a 5 is:

P(B) =1/4

So, the probability of getting a ticket that starts with an e and ending with a 5 is:

P(A and B)=P(A)*P(B)

= 1/5 x 1/4 =1/20

In percentage , probability is 1/20 x 100 % =5%

Hence, the probability is 5%

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Given the coordinates of a rectangle A(2,5) B(6,5) C(6,-5) and D(2,-5), write the equations of the lines of reflection

Answers

Answer: D

Step-by-step explanation: because I got the same question and got it right

I don't know this answer I really need help.

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Answer:

a is 5 and b is 6 but I am not sure but I hope it helps

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Answer:19) x=53. 20) x=143

Step-by-step explanation: it’s a co interior angle so they should add up to 180 so u do 180-127=53

This one is the last question

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Answer:

second choice y = -2(x+4) + 15

Given points (-2.3) and (9.3), which expression can be used to find the distance between the two points?
191 +31
191-1-21
1-21+131
1-2 + 191

Answers

Answer:

d

Step-by-step explanation:

equalitivietion form akk absolute vaules.

I need help pretty pls

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Answer: $8 and a ratio could be 12 for 8

Step-by-step explanation:

What is the perimeter of triangle DEF?
Answer choices:
90 cm
40 cm
45 cm
9 cm

Answers

Answer:

If triangle EFD is similar to ABC then side EF = 9 cm

Step-by-step explanation:

the answer is 9 cm..........

Brainliest!!!!!!!
12(7y+4)

Answers

[tex]{\huge{\boxed{\mathcal{\green{ANSWER}}}}} \\ \\ 12(7y + 4) = 0 \\ \\ 84y + 48 = 0 \\ \\ 84y = - 48 \\ \\ y = - 48 \div 84 \\ \\ y = - 0.571 \\ \\ {\huge{\boxed{\mathfrak{\pink{hope \: it \: helps}}}}}[/tex]

THE LOOK DOWN PLZ ||
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Answers

Answer:

D. Lol is this Ed.genuity?

Step-by-step explanation:

might be the last one but not to sure

What is 3/4 Divided 1/6

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Answer:

4.5

Step-by-step explanation:

What is the circumference of a circle with a radius of twelve inches, in terms of pi?

Answers

Look at the attachment for work

Answer:

24

Step-by-step explanation:

The population in Smalltown in 2010 was 45,230 people and is growing exponentially at a
rate of 2%. What will the population be in 2030?
O 67,475
O 81.928
O 67.209
O 82.414

Answers

Answer:

The first option

67475

Step-by-step explanation:

Step one:

Given data

The population in Smalltown in 2010 was 45,230

rate= 2%= 0.02

time t= 20 years

Step two:

Let P(t) = population t years after 2010  

              = 45230e^0.02t

 

Population in 2030 = P(20)

                                = 45230e^0.02t(20)

                                  = 45230e^0.4

                                  ≈ 67475

Answer:

A

Step-by-step explanation:

Just adding in from the previous answer too, bc I thought it would be wrong but it wasn't

The height of a pebble dropped from a cliff 20,00 feet heigh is described by formula h(t)=20,000 + 5t^2. How long will the pebble take to reach a height of 32,500 feet?

Answers

Answer:

It will take 50 seconds for the pebble to reach the height

Step-by-step explanation:

To calculate the time, simple substitute h(t) for 32,500

So we have

32,500 = 20,000 + 5t^2

5t^2 = 32,500-20,000

5t^2 = 12500

t^2 = 12500/5

t^2 = 2500

t = square root of 2500

t = 50 seconds

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Answers

Answer:

Step-by-step explanation:

4*(-2)-3

-8-3

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The radius of a circle is 4.53 in. What is the length of the circumference of the circle?

Answers

Answer:

28.4484

Step-by-step explanation:

Answer:

28.46

Step-by-step explanation:

Use this equation: 2 π r

The graph shows the proportional relationship between rainfall during the growing season and seasonal growth of a type of plant. What does the point ​(​8,6​) ​represent? If the plants grew 12 mm one​ season, how much rain​ fell?

Answers

Answer/Step-by-step explanation:

✔️The point (8, 6) represents seasonal plant growth of 6 mm with 8 cm of rainfall during the growing season.

✔️To determine how much rain fell if the plants grew 12 mm one season, find the value of x (rainfall) when y (plant growth) = 12.

From the graph, when y = 12, x = 16.

This means that when the plant grew 12 mm, 16 cm of rainfall was recorded.

Therefore:

If the plants grew 12 mm one season, 16 cm rainfall fell.

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march 4th?

Step-by-step explanation:

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The diagram shows a triangle.
3w
6w
36°
What is the value of w?

Answers

Answer:

w =4................?????.

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The height of a rectangular prism is 15 centimeters the area of its base is 270 square centimeters

What is the volume of the rectangular prism?

Answers

Answer:4,050

Step-by-step explanation:

The volume of the rectangular prism is 4050 centimeter cube

What is Volume?

Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.

What is rectangular prism?

In geometry, a rectangular prism can be defined as a 3-dimensional solid shape which has six faces that are rectangles

Height of the rectangular prism =15 cm

Area of the base =270 centimeter square

Volume of the rectangular prism = Area of the base × Height

=270×15

=4050 centimeter cube

Hence, the volume of the rectangular prism is 4050 centimeter cube

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What is the slope of the line that passes through the points (-10, –4) and (10, -29)? Write your answer in simplest form. Answer: Submit Answer undefined attempt i out of​

Answers

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-5/4

Step-by-step explanation:

What is the slope of any line that is perpendicular to the line 8x + 4y = 64?
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Step-by-step explanation:

whats 116 as an decimal​

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Step-by-step explanation:

Can I conclude ? (Please don’t be wrong I’ll give brainlist)

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Answer:

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Step-by-step explanation:

ΔGHJ ≅ΔGKJ    -------> A A S congruent

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Answer:

i think it would be 20%

Step-by-step explanation:

Santa has many toys to deliver on Elm Street. If there are 48 kids that live on Elm
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Answers

Answer: 3 : 1

Step-by-step explanation:

We know that there are 48 kids in Elm street.

12 of them are boys, then the number of girls will be:

48 - 12 = 36

So there are 12 boys and 36 girls.

Then the ratio of girls to boys is 36:12

We can divide both numbers by the same number and we will get an equivalent ratio, if we divide by 12 in both sides, we have:

36/12 : 12/12

3 : 1

Then the ratio is 3 to 1.

Please answer the question below

Answers

Answer:

<ABC = 85

Step-by-step explanation:

3x + 25 + 5x - 5 = 180

8x + 20 = 180

     - 20     - 20

8x = 160

/ 8      / 8

x = 20

3x + 25

3 (20) + 25

60 + 25

85

find the surface area of the cylinder using pie.

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