Find the equation of a line which is parallel to the line with the equation 2x + y = 4 and
which passes through the origin.

Answers

Answer 1

Answer:

y = -2x

Step-by-step explanation:

Given

2x + y = 4Passes through the origin (0, 0)

Solving

Rewriting the equation

2x + y = 4y = -2x + 4

New equation

The slope of the new line is the same (-2) because it is parallelThe y-intercept is (0, 0)

⇒ y = mx + b [m = slope, b = y-intercept]

⇒ y = -2x + 0

y = -2x

Answer 2

Answer:

2x+y=0

Step-by-step explanation:

Given:

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

To find:

The equation of line that’s parallel and passes through origin point.

Parallel Definition:

Both lines have same slope.

Slope-Intercept:

[tex]\displaystyle \large{y=mx+b}[/tex]

m = slopeb = y-intercept

Therefore, another line is:

[tex]\displaystyle \large{y=-2x+b}[/tex]

Since the line passes through origin point which is (0,0). Substitute x = 0 and y = 0 in the equation:

[tex]\displaystyle \large{0=-2(0)+b}\\\displaystyle \large{b=0}[/tex]

Therefore, the equation is:

[tex]\displaystyle \large{y=-2x}[/tex]

Convert back to standards form:

[tex]\displaystyle \large{2x+y=0}[/tex]

Therefore, another line that is parallel to [tex]\displaystyle \large{2x+y=4}[/tex] is 2x+y=0


Related Questions

The expression 0.75p represents the discounted price of a pair of jeans. Which expression is equivalent to the discounted price if p is the original price of the jeans?
a. p - 0.75p
b. p - 0.25p
c. 1.75p
d. 1.25p
ahhh please help

Answers

B because 0.75 means the normal price times 0.75 meaning they remove off 0.25 or 25% of the price so B.
A because of the lack in inching on air

Answer This Riddle for Fun and I Will Give Brainliest:

Riddle: If a hen and a half lays an egg and a half, in a day and a half, how many eggs will half a dozen hens lay in half a dozen days?

Please explain the answer!

Answers

2 Dozen, 24.

The number of hens has increased from 1.5 to 6 (4 times more) and the number of days has increased from 1.5 to 6, (also 4 times more) The effect is cumulative therefore the number of eggs that will be later will be 16 times more.

24, 2 dozen

Answer:

2 dozen or 24.

The number of hens was increased from 1.5 to 6 (4 times more) and the number of days was increased from 1.5 to 6 (also 4 times more). The effect is cumulative, thus the amount of eggs that will be layed will be 16 times more (i.e. 24 instead of 1.5).

May you please help me?
3(6f+8)

Answers

Answer:

first of all what you have to do is to use a method called distribute property when you see this type of questions and multiply for example 3 times 6f and getting an answer of 18f and then finally you just multiply 3 times 8 and the answer is 24 so basically the answer should be 18f+24 and hope this helps and can you also tell me the answer choices and if it was correct or not and thanks for helping you.

Step-by-step explanation:

Answer:

18f+24

Step-by-step explanation:

Use the Distributive Property of Multiplication...

3 x 6f = 18f (note; when multiplying a number by a veriable, just add the variable to the product).

3 x 8 = 24

answer: 18f+24

Select all the situations where knowing the surface area of an object would be useful.

A. The amount of paint needed to paint a room
B. The amount of water needed to fill an aquarium
C. How much wrapping paper a gift will need
D. How many watermelons fit in a box for shipping
E. The amount of gasoline left in the tank of a vehicle

Answers

C. How much wrapping paper a gift will need

I need help on this ASAP!

Answers

Answer:

4311/9900 = 0.4354

530/900 = 0.58

674/990 = 0.689

4936/990 - 4.985

8099/ 990 = 8.180

Step-by-step explanation:

Just divide and it should give you the decmile version

show work on how to do it

Answers

Answer:

11 soccer balls (rounded estimate; should be close to 11)

Step-by-step explanation:

Because you need to match the limit, you first have to convert in. to ft. That will get you at 2.3 (it is an non-stopping number, so I rounded to the tenths). 11 x 2.3 is  25.3. You can’t go lower, so you have to have that extra soccer ball. Hope this helps.

The 6th grade is trying to raise $500 for a new 3D printer. So far, they have raised $235. What percentage of the money has the 6th grade already raised?

Answers

The answer is 47%

If you take the amount of money raised ($235) and put it over the total amount of money ($500), 235/500 will result in the decimal 0.47, and you can change that to a percentage by moving the decimal two places to the right
47%.


Assemble a fraction: 235/500.

Solve: 0.47


Move the decimal two places to the right to get a percentage.


Then you get 47%

Donald has $38. He earns $7 for 1 hour working at the local grocery store. Donald wants to buy a bicycle for $108
Enter the minimum number of hours Donald must work at the grocery store to be able to buy the bicycle.

Answers

10 hours. 108-38= 70. 70 divided by 7 is equal to 10. Hence 10 hours
so we know he already has $38 saved so we can now minus $108 - $38 which leaves us with $70 ! And 70/7= 10 !
So he has to work 10 hours to afford the bike !!

Is charlottes graph correct?

Answers

Here are the answers in order! 1. x<-4 (x is less than negative four) 2. is not 3. open circle 4. less than 5. left 6. incorrectly
yes it is correct i think

asswer this asap please

Answers

Answer:

A and E

Step-by-step explanation:

they are both of them correct

A and E are both correct

What is the actual width, w, of the island if the width in the drawing is 2.5 inches?

Convince Me!
How would the proportion for Example 1, 1.5/1 = x/6, change if the scale changed?

Answers

The actual width, w, of the island is 22.5 inches if the width in the drawing is 2.5 inches.

How can we determine the actual width using a scale factor?

The actual width can be determined by multiplying the width with the scale factor.

Given that:

[tex]\mathbf{\dfrac{1.5}{1}=\dfrac{x}{6}}[/tex]

[tex]\mathbf{\dfrac{1.5}{1} \times 6=x}[/tex]

x = 9

If the width of the drawing is 2.5 inches, the actual width of the island is:

= scale factor × width of the drawing

= 9 × 2.5 inches

= 22.5 inches.

Learn more about the calculating the actual width using scale drawing here:

https://brainly.com/question/2604310

#SPJ1

I need help please, I need to graph the solution wich is 5/12

Answers

This is the answer, the 5th line after the 0
The 5th dot after the 0!!!

10 POINTS)Zahara asked the students of her class their gymnastic scores and recorded the scores in the table shown below:

Score Number of Students
0 1
1 1
2 2
3 6
4 4
5 3
6 2


Based on the table, what is the mean gymnastic score

Answers

Answer:

the mean is the closest of 2 or 3

Answer:

The answer is 3.5

Madison and Declan are training for a lifeguard test Madison swims 2/5 mile in 3/8 hour. Declan swims 7/10 mile in 1/5 hour who swims faster

Answers

Hope u understood it, please let me know if you have any doubts!!

PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

Mean is all the numbers in the list added / the number of numbers

(Ex: 14, 13, 15, 17

Mean = (13 + 14 + 15 + 17) / (number of numbers in the list)

Mean = 59 / 4

Mean = 14.75)

Range = (The largest number - the smallest number)

Mode is the number that appears the most

The median is the central number of a data set. Arrange data points from smallest to largest and locate the central number

________________________________________________________

Mean of Ernie = 19

Mean of Lori = 17.6

A is False

Range of Ernie = 7

Range of Lori = 8

B is false

Median of Ernie = 18

Median of Lori = 18

C is true

Mode of Ernie = 17

Mode of Lori = 18

D is false

Complete the proof.

Given:

CM ⊥ AB

∠3 = ∠4

Prove:

△AMC ≅ △BMC



Use the information provided to complete a two-column proof.

Answers

angle 1 = angle 2 = 90 (def of perpendicular segment)
CM = CM (reflexive property)
angle 3 = angle 4 (given)
triangle AMC is congruent to triangle BMC (ASA)

AM = MB

CM = common side

∠3 = ∠4

△AMC ≅ △BMC

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

CM ⊥ AB

∠3 = ∠4

We have to prove △AMC ≅ △BMC.

Now,

If CM ⊥ AB

AM = MB

Now,

AM = MB

CM = common side

∠3 = ∠4

△AMC ≅ △BMC

Thus,

AM = MB

CM = common side

∠3 = ∠4

△AMC ≅ △BMC

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ2

HELP MEEEE I NEED IT

Answers

Answer:

Group 1: 2x, -4x, 25x

Group 2: -3y, y

Group 3: 10, -6, 100

Group 4: -6x^2, 5x^2

Step-by-step explanation:

In eac group they are the ones that can be combined together, you cannot combine numbers from diffrent groups because they are not like terms.

You need to multiply by 4

Heyy Brain People! Can I get some help with 8th grade math!?
Which statement is true about the slope?

A) Jay is faster because he is running 5 m/s.

B) Jay is faster because he is running 5 m/s.

C) Jay is faster because he is running 6 m/s.

D) Nathan is faster because he is running 6 m/s.

Answers

Answer:

Jay has the fastest time because the he gained more meters per second.

Step-by-step explanation:

hope this helps if do mark brainllest pls!

Answer:

A) Jay is faster because he is running 5 m/s

A theater audience is half adults and half children. One person is chosen at random to volunteer on stage. Toss a coin to model the person chosen from the audience. Perform 40 trials of the experiment. What is your experimental probability that the person is a child?

Answers

Answer:

50% or 1/2

Step-by-step explanation:

P(adult)=0.5

P(children)=0.5

0.5*40=20

20/40=2/4=1/2=0.5

0.5*100=50%

write the algebraic expression that matches this graph:
(correct answer gets brainiest)

Answers

Answer:

y=-|x+1|+1

Step-by-step explanation:

im not too sure though

Y=-|x+1|+1 because it’s facing down

Help!

Two of the points on this line are (-10, 8) and (5, -1). What is the slope of this line?


A
m = 15
B
m = 9/5
C
m = -3/5
D
m = 2

Answers

answer is- c. -3/5
bc m= y2-y1 over x2-x1

Answer:

C) m = -3/5

Step-by-step explanation:

Formula for finding slope

m = y₂ - y₁ / x₂ - x₁

Substituting the given points

m = -1 - 8 / 5 - (-10)m = -9/15m = -3/5

PLEASE HELP I need this done by the end of the day.

Answers

Answer:

Percent Change

[tex]\sf percent\:change=\dfrac{final\:value-initial\:value}{initial\:value} \times 100[/tex]

[tex]\sf \implies \textsf{percent change from 1845-1846}=\dfrac{148-118}{118} \times 100=25.4 \%[/tex]

[tex]\sf \implies \textsf{percent change from 1846-1847}=\dfrac{139-148}{148} \times 100=-6.1 \%[/tex]

[tex]\sf \implies \textsf{percent change from 1847-1848}=\dfrac{151-139}{139} \times 100=8.6 \%[/tex]

(all solutions are given to the nearest tenth)

PLS heeeeeeeeelp..............

Answers

Answer:

420

Step-by-step explanation:

Base is the bottom across

Height is in the middle so multiply them and you get 420 inches

Brainliest, please be right though! If ur wrong I will fail math and my mommy wil never lov me again!!!!!! PLS

Answers

The correct answer is 19.

one question please help me with this math problem

Answers

Answer: Austin college, 5, Barton college, 3.

Step-by-step explanation:

In the stem 7 there is no 70, but higher, so we just count the leaves on the stem 6; Austin's college contains 5 numbers, and Barton's contains 3.

A circular hot spring has a diameter of 96 meters. Over time, the diameter of the spring decreases by 8 meters. By how many square meters does the area of the hot spring decrease? Use 3.14 for pi.

about (BLANK) m2

Answers

The area decreases by 1155.52 square meters

Step-by-step explanation:

What we must do is calculate the area before and after making the diameter cut.

The area of a circle is equal to:

a = pi * r ^ 2

now the diameter is equal to:

d = 2 * r

therefore r,

r = d / 2

before the cut would be

r = 96/2

r = 48

replacing in the area formula

a1 = 3.14 * 48 ^ 2

a1 = 7234.56 square meters.

after cutting the diameter decreases by 8, that is, 96 - 8 = 88, calculating the radius would be:

r = 88/2

r = 44

now calculating the new area would be:

a2 = 3.14 * 44 ^ 2

a2 = 6079.04 square meters.

now we calculate the difference

a1 - a2 = 7234.56 - 6079.04

= 1155.52 square meters

means that the area decreases by 1155.52 square meters

can someone please help me thx

Answers

Answer:

Step-by-step explanation:

So first you need to find to Constant of Proportionality and to do that you need to divide either 96 by 3 or 160 by 5. The answer you get is the first blank, then to find the second blank you take 14 and multiply it by the first answer.

It is 47 miles because you have to divide it

I need helps plssssss. If you could explain that would be great!

Answers

Answer:

[tex]5\sqrt{15}[/tex]

Step-by-step explanation:

[tex](\sqrt{3}+\sqrt{48})(\sqrt{20}-\sqrt{5})[/tex]

[tex]\textsf{Use} \quad \sqrt{a}\sqrt{b}=\sqrt{ab}[/tex]

[tex]\implies (\sqrt{3}+\sqrt{16 \cdot 3})(\sqrt{4 \cdot 5}-\sqrt{5})[/tex]

[tex]\implies (\sqrt{3}+\sqrt{16}\sqrt{3})(\sqrt{4}\sqrt{5}-\sqrt{5})[/tex]

[tex]\implies (\sqrt{3}+4\sqrt{3})(2\sqrt{5}-\sqrt{5})[/tex]

[tex]\implies (5\sqrt{3})(\sqrt{5})[/tex]

[tex]\implies 5\sqrt{3}\sqrt{5}[/tex]

[tex]\implies 5\sqrt{3 \cdot 5}[/tex]

[tex]\implies 5\sqrt{15}[/tex]

Answer:

5√15

Step-by-step explanation:

(√3 + √48)(√20 - √5)

step 1 simplify √48

(√3 + 4√3)(√20 - √5)

step 2 add √3 and 4√3

(5√3)(√20 - √5)

step 3 simplify √20

(5√3)(2√5 - √5)

step 4 subtract √5 from 2√5

(5√3)(√5)

step 5 multiply 5√3 and √5

= 5√15

explanation of each step

step 1 and 3

To simplify radicals you list the factors of the number under the sqaure root

For 48 we have 2 × 2 × 2 × 2 × 3

We then pair the factors off as powers of 2 if possible

We get 2² × 2² × 3 which can further be simplified as 4² × 3

We then list the number with the power on the outside of the radical and leave the numbers with no power on the inside to get 4√3.

This process is used to simplify √20 as well.

step 2 and 4

For these two steps we are adding and subtracting radicals  with the same radicand ( number inside of the square root. ) This is very simply as we keep the radicand the same and just perform the operation to the coeffecients ( number on the outside of the square root )

Eg. a√b + c√b = (a+c)√b or a√b - c√b = (a-c)√b

Hence, 4√3 + √3 = (4+1)√3 = 5√3

Step 5.

Finally we multiply the two radicals. This is very simply as we can use the rule to do so.

a√b × c√d = (a×c)√b×d

Hence, 5√3 × √5 = (5×1)√(3×5) = 5√15

Basketball tickets were $5 for the floor seats and $2 for the grandstand seats
If 210 people attended and paid $660, how many people bought floor seats?

Answers

Answer:

Good seats sold=80

Poor seats sold=130

Step-by-step explanation:

g + p = 210 seats.  Then p = 210 - g.

($5)g + ($2)p = $660.  Substite 210 - g for p,

($5)g + ($2)(210 - g) = $660

Simplify, 5g + 420 - 2g = 660 => 3g = 240  =>  g = 80

80 and 130

4 × 32 + 8 ÷ 2 - (5 + 3)

Answers

Answer:

124

Step-by-step explanation:

4•32+8/2-*(5+3)*
*4•32*+8/2-(8)
128+*8/2*-(8)
*128+4*-(8)
*132-(8)*
124
*= what’s being worked on.
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