Which equation is the slope-intercept form of the equation of the line that passes through (1, 2) and is parallel to 4x - 2y = 6?

Answers

Answer 1

Answer:

The equation of the parallel line is y = 2x  

Step-by-step explanation:

The slope-intercept form of the linear equation is:

y = m x + b, where

m is the slope of the line b is the y-intercept (value y at x = 0)

Parallel lines have the same slopes and different y-intercepts

∵ The equation of the given line is 4x - 2y = 6

→ To find the slope of this line re-arrange it to be in the

   slope-intercept form Subtract 4x from both sides to move x to

   the right side

∵ 4x - 4x - 2y = 6 - 4x

∴ -2y = 6 - 4x

→ Divide both sides by -2 to make the coefficient of y = 1

∵ [tex]\frac{-2y}{-2}=\frac{6}{-2}-\frac{4x}{-2}[/tex]

∴ y = -3 - (-2x)

∴ y = -3 + 2x

→ Swithch -3 and 2x

∴ y = 2x - 3

→ Compare it by the form of the equation above to find m

∴ m = 2

The slope of the given line is 2

∵ The two lines are parallel

The slope of the parallel line is 2

→ Substitute it in the form of the equation above

y = 2x + b

→ To find b substitute x and y in the equation by the coordinates

   of any point on the line

∵ The line passes through the point (1, 2)

x = 1 and y = 2

∵ 2 = 2(1) + b

∴ 2 = 2 + b

→ Subtract 2 from both sides to find b

∴ 2 - 2 = 2 - 2 + b

0 = b

y = 2x

The equation of the parallel line is y = 2x    


Related Questions

I am very confused with this

Answers

Answer:

look down

Step-by-step explanation:

So basically its just asking you the change when you go to the next x-value.

In this question it looks like it is 4.

Hope this helps!

Comment if you are still confused!

what is 6/12 = x/x
Please tell me what it is with explanation, much love

Answers

Answer:

x = 0

Step-by-step explanation:

6/12 = x/x

~Cross multiply

6x = 12x

~Subtract 12x to both sides

-6x = 0

~Divide -6 to both sides

x = 0

Best of Luck!

how many solutions in these two equations-
1. 5x-4y>10 ; 3x-2y 2

Answers

Answer:

I kinda don't know honestly. Haven't learned this yet.

Step-by-step explanation:

Xavier spent $84 on art supplies. The canvas for each of his paintings is an additional $1. He plans to sell his paintings for $8.

a. Write an equation that could be used to find the number of paintings (p) he will need to sell to break even.
PLEASE HELP ASAP

Answers

Answer:

The paintings itself would be 9 dollars

Step-by-step explanation:

Xavier needs to sell 12 paintings to break even.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say he needs to create x number of paintings for break-even

The total cost of manufacturing;

⇒ 84 + x

Total selling ⇒ 8x

Now for break-even,

Total selling = total cost of manufacturing

8x = 84 + x

7x = 84 ⇒ x = 12

Hence " Xavier needs to sell 12 paintings to break even".

For more about the equation,

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Which expressions have a sum greater than 20? Select all that apply.
A 15.16 + 4.09
B. 0.8 + 19.3
C. 13.36 + 6
D. 8.3 + 11.8
DE 10.09 + 9.9

Answers

Answer:

0.8 + 19.3 and 10.09 + 9.9

Step-by-step explanation:

Hope this helps Plz give brainliest

Answer:

23

Step-by-step explanationis chillingwithmeme

What is the value of the expression below 27^1/3

Answers

Answer:

3

Step-by-step explanation:

Rewrite 27 as 3^3.

(3^3)1/3.

Cancel the commin factor of 3.

3^1.

evaluate the exponent.

3

what is the range plss help

Answers

Answer:

Range is 1<x because there are arrow pointing away

Step-by-step explanation:

Brainliest? Just need 2 more

It’s is the first one 1

Look at image attached:

Answers

Option A= 36 + 27 pi is the correct answer

Area of square= 6*6 = 36

Area of the remaining circle = 3/4*pi*r^2

= 3/4*pi*6^2= 27*pi

Thus, total area = area of square+ area of circle

36 + 27pi

Is negative 2 bigger then negative 6​

Answers

Answer:

Yes, negative 2 is bigger than negative six.

Answer:

(-2 is greater than -6 )it is the lower the it is such as -2 the way you know which is greater is by whatever negative is closer to 0 or to the positive numbers.

Step-by-step explanation:

Hope this heped!

-5x - 4 = 3x + 12 what is the value of x

Answers

Answer:

x=-2

Step-by-step explanation:

Check out the image. It says it all. If you still don't understand then there's some lovely lessons on Khan academy explaining this. :)

Answer:

[tex]\boxed {x = -2}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]-5x - 4 = 3x + 12[/tex]

-Take [tex]3x[/tex] and subtract it from [tex]-5x[/tex]:

[tex]-5x - 4 - 3x = 3x - 3x + 12[/tex]

[tex]-8x - 4 = 12[/tex]

-Add [tex]4[/tex] to both sides:

[tex]-8x - 4 + 4 = 12 + 4[/tex]

[tex]-8x = 16[/tex]

-Divide both sides by [tex]-8[/tex]:

[tex]\frac{-8x}{-8} = \frac{16}{-8}[/tex]

[tex]\boxed {x = -2}[/tex]

Therefore, the value of [tex]x[/tex] is [tex]-2[/tex].

Please help me Im so confused right now

A car is traveling at a rate of 90 miles per hour. What is the car’s rate in feet per second? How many feet will the car travel in 2 seconds? In your computations, use the fact that 1 mile is equal to 5280 feet. Do not round your answers.

Answers

Answer:

The car is traveling 475200 feet per hour. That means in 2 seconds it will have gone 264 feet.

Step-by-step explanation:

you have to times 90 by 5280 to get the feet per hour. And then divided by 60 twice the first time you get minute and then when you divided by 60 again you get seconds and then you times it by 2 to get 264 feet a second.

Find the distance between the points (3, 2) and
(6, 6).

Answers

Answer:

(3,4)

Step-by-step explanation:

Jennifer invites her friends over for a party. Her mother buys a value pack of party favors. She removes 2 damaged pieces from the entire lot and divides the rest equally in 10 goody bags. If each bag contains 7 party favors, how many party favors were there initially?

Answers

Answer:

72

Step-by-step explanation:

Call the amount she started with, x

she removes 2

x - 2

then she divides it by 10

(x - 2)/10

each bag contains 7 pieces

(x - 2)/10 = 7

so now solve using inverse operations

(x - 2)/10 = 7

        *10    *10

x - 2 = 70

  +2    +2

x = 72

Solve for x: the quantity of x plus 20 over 2 = 3x need answer plz :(

Answers

Answer:

x = 5

Step-by-step explanation:

1x + 20/2 = 3x

subtract 1x

1x -1x + 20/2 = 3x -1x =

20/2 = 2x

Identify

20/2 = 20 divided by 2 = 10

10 = 2x

divide by 2

10/2 = 2x/2

5 = x

All the people of a neighborhood pooled together and won the lottery they won 10,000,000 and each person got a 0.02 share. How much money did each person receive?

Answers

Answer:

500000000

Step-by-step explanation:

10000000 ÷ 0.02

s=2pirh for h i need help please

Answers

Answer:

x+33

Step-by-step explanation:

add x to 33 and you will get the answer

Mrs. Frasier is making costumes for the school play. Each costume requires 0.75 yard of fabric. She bought 6 yards of fabric. How many costumes can Mrs. Frasier make?

Answers

Step-by-step explanation:

0.75 yard = 1 costume

1 yard = 1/0.75 =4/3 costume

6 yards = 4/3 × 6 = 8 costumes

if you wanna check,

8 costumes = 6 yards

1 costume = 6/ 8

= 3/4 (0.75) yard

Over the next 13 months you have to read at least 52 books. You have to read x books per month. The inequality 52 is less than or equal to 13x represents this situation. Solve the inequality to find the number of books you have to read per month.

Answers

it would be 4 books per month

Sandra bought 120 square feet of carpet for a room in her new house. If the room is square, what is the length of each side of the room?

Recall that the area of a square is calculated by l2, where l is the length of one side.

feet
feet
feet
feet

Answers

Answer:

length of each side of the room is 2√30 which is approximately 10.9545 feet

Step-by-step explanation:

The area of the square can be computed as follows:

Area = l²

where l is the length of the side

We are given that:

area = 120 ft²

Substitute with the area in the above equation and solve for l as follows:

area = l²

120 = l²

l = √120

l = 2√30 ft

This is approximately equal to 10.9545 ft

Hope this helps :)

The square root by prime factorization 2916​

Answers

Answer:

It is 54

Step-by-step explanation:

The square root of 2916 is 54. The cube root of 2916 is 14.286609467714. The fourth root of 2916 is 7.3484692283495 and the fifth root is 4.9312554885517.

it’s 54 because its the square root of 2916

Solve the equation for x.
12x = 4(2x - 3) - 16

Answers

Answer:

x =-7

Step-by-step explanation:

12x = 8x-12-16

4x = -12-16

4x = -28

x = -7

I need two answers to 0.75x + 0.8(x + 10) = 101. Please do your best

Answers

Answer:

Pretty sure it's x=60

Step-by-step explanation:

0.75x+0.8x+9=101

1.55x+8=101

1.55x=101-8

1.55x=93

and then divide

Answer:

[tex] \sf x = 60[/tex]

Step-by-step explanation:

Given equation,

→ 0.75x + 0.8(x + 10) = 101

Now the value of x will be,

→ 0.75x + 0.8(x + 10) = 101

→ 0.75x + 0.8x + 8 = 101

→ 0.75x + 0.8x = 101 - 8

→ 1.55x = 93

→ x = 93/1.55

→ [ x = 60 ]

Hence, the value of x is 60.

Find the inverse function f -1(x) for the given function f(x).
f(x) = 4x - 7

Answers

The answer is y=x+7/4. First you switch the places with x and y and than solve for y that is how you find the inverse

E
5. Marley used 7 cups of water to make 4
loaves of French bread. What equation can
be used to model the total cups of water
needed y for making x loaves of French
bread? How many cups of water do you
need for 6 loaves of French bread?
(Example 3)

Answers

Answer:

first start with the first four loves whitch takes 7 cups of water then you split the resipe 9 1/2 cups of water

Step-by-step explanation:

The mass of Planet X is 8.46×1022 kilograms. The mass of Planet Y is 5,028,000,000,000,000,000,000 kilograms. About how many times greater is the mass of Planet X than the mass of Planet Y?

Answers

take the mass of Planet X divide by the mass of planet Y. The value u get is the answer

The mass of Planet X is 16.82 times greater than the mass of Planet Y which is determined by division operation.

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operations is called the arithmetic operator.

We have been given that the mass of Planet X is 8.46 × 10²² kilograms.

And the mass of Planet Y is 5,028,000,000,000,000,000,000 kilograms

We can rewrite the mass of Planet Y as :

⇒ 5.028 × 10²¹

We have to divide the mass of Planet X by the mass of Planet Y

⇒ mass of Planet X / mass of Planet Y

⇒ 8.46 × 10²²/ 5.028 × 10²¹

⇒ 16.82

Therefore, the mass of Planet X is 16.82 times greater than the mass of Planet Y.

Learn more about the arithmetic operations here:

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HELP THIS IS SO CONFUSING I ONLY GET DECIMALS

Answers

Answer:

2, only whole numbers are integers

Step-by-step explanation:

An integer is colloquially defined as a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 512, and √2 are not.

I hope this helps you :)

Answer:

The answer is 2

Step-by-step explanation:

Integers are whole numbers or numbers that are not decimals or fractions example 1 2 3 4 5 6 7 8 9 etc..

PLZZ HELP
Using your matched equation, show how to find the cost of 4 cakes

Answers

Answer:

180

Step-by-step explanation:

how many sacks can be completely filled with flour fractions

Answers

Answer:

Is there any more information? We can not help answer with that much information

Step-by-step explanation:

Answer:loser

Step-by-step explanation:

A 2-column table with 5 rows. Column 1 is labeled Tickets sold with entries 10, 20, 30, 40, 50. Column 2 is labeled Dollars donated with entries 5, 10, 15, 20, 25.
The table represents the amount of money the local business will donate given the number of carnival tickets sold.

Which operation can be applied to the tickets sold in order to find the number of dollars donated?
add 2
divide by 2
multiply by 2
subtract 2

Answers

Answer:B:divide by 2

Step-by-step explanation:

Had on an assignment band got it correct

Answer:

divide by 2

Step-by-step explanation:

sry if im wrong have an amazing day


You have a 12.5-gram sample of potassium pomegranate. What is the mass of this sample in kilograms?

Answers

Answer:

0.0125

Step-by-step explanation:

Answer:

.0125

Step-by-step explanation:

to get to kilograms move the decimal over three places

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