which equation represents a line that passes through 4 6) and is parallel to the line whose equation is 3x - 4y= 6
TIMED TEST WILL GIVE BRAINLIEST

Answers

Answer 1

Parallel means their slopes should equal to each other.

Thus we need to find the slope of the given line ,

Let's do it.....

[tex]3x - 4y = 6[/tex]

Subtract sides -3x

[tex] - 3x + 3x - 4y = - 3x + 6[/tex]

[tex] - 4y = - 3x + 6[/tex]

Divided sides by -4

[tex] \frac{ - 4}{ - 4}y = \frac{ - 3}{ - 4}x + \frac{6}{ - 4} \\ [/tex]

[tex]y = \frac{3}{4}x - \frac{3}{2} \\ [/tex]

This is the slope-intercept of the line.

We know that the coefficient of the x in slope-intercept form , is the slope of the line.

Thus the slope of the equation which we want is :

[tex]slope = \frac{3}{4} \\ [/tex]

_________________________________

We have following equation to find the point-slope form of the linear functions.

[tex]y - y(given \: point) = slope \times (x - x(g \: p) \: ) \\ [/tex]

Now just need to put the slope and the given point in the above equation.

[tex]y - 6 = \frac{3}{4} \times (x - 4) \\ [/tex]

Multiply sides by 4

[tex]4(y - 6) = 3(x - 4)[/tex]

[tex]4y - 24 = 3x - 12[/tex]

Plus sides 24

[tex]4y - 24 + 24 = 3x - 12 + 24[/tex]

[tex]4y = 3x + 12[/tex]

Subtract sides -3x

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

[tex]4y - 3x = 12[/tex]

And we're done....♥️♥️♥️♥️♥️


Related Questions

Evaluate 2(x - 4) + 3x - x2 for x = 2.
O A. -6
O B. -2
O C. 6
O D. 2

Answers

Answer:

B. -2

Step-by-step explanation:

2(x - 4) + 3x - x2

2(2 - 4) + 3(2) - (2)2

2(-2) + 6 - 4

-4 + 6 - 4

-8 + 6

-2

PLEASE HELP! I WILL MARK THE BRAINLIEST!
A coordinate plane with a line passing through (negative 3, 0), (0, negative 2) and (3, negative 4).
What is the equation of the graphed line written in standard form?

Answers

Answer:

2x+3y=-6

Step-by-step explanation:

Find the value of |-9 + 1| - 4(4).

-36
-6
-8
16
I will make you brainlliest and give you some points.

Answers

|-9 + 1| - 4(4)

|-9 + 1| = |-8| = 8

4(4) = 4x4 = 16

Now you have 8-16 = -8

The answer is -8

Raj is playing a game . He needs to find pairs of cards that have the same value . Which two pairs of cards does Raj have that express the same value?

Answers

Answer:

7/9= 0.77(repeating) and 3/8=0.375

Step-by-step explanation:

Question 1
A research lab studied the effects that temperature has on the
growth of a certain plant. At 60°F, the plant grows 1.25 cm
per week. At 80°F, the plant grows 2.75 cm per week. How
fast can we expect the plant to grow at 72°F in one week?

A. 1.36 cm
B. 1.5 cm
C. 2.15 cm
D. 2.48 cm

Answers

I think the answer is C not sure lol

Michael made 12 out of 18 free throws at basketball practice. What is the ratio of baskets made to the total numbers of baskets?

Answers

Answer:

2:3

Step-by-step explanation:

You can simplify 12/18 to 2:3 also if michel is that good at basketball he should go to the NBA

whats the capitol of Florida miaaaaaaa​

Answers

Answer:

Tallahassee

Step-by-step explanation:

A team of college administartors caputured and atgged a group of 90 fraternity men and then returned them to the universiry campus. Later a group of soroity women wishing to stimate the amount of fraternity men on campus caputred 215 men and found they were tagged. How many frat men would they stimate that were on campus

Answers

Answer:

125

Step-by-step explanation:

The college administrators captured the 90 fraternity men and tagged them, then they returned them to the university campus.

Let there were x tagged fraternity men already on the university campus, so, the total number of tagged fraternity men on the campus become x+90.

Later a group of sorority women captured 215 tagged men, in which the 90 tagged men added by the college administration are included.

So, x+90=215

[tex]\Rightarrow x=215-90=125.[/tex]

Hence, the number of fraternity men on the campus was 125.

Solve by elimination.
3x + 4y = -6
5x - 4y = 22

Answers

Answer:

Step-by-step explanation:

Just

Emliminate it by 3x’s

Answer:

HOPE THIS HELPED YOU

PLEASE MARK AS THE BRAINLIEST (ㆁωㆁ)

2-2+5+1-3*55+12-33*98​

Answers

Answer:

-3054

hdjsfahjkdhfjkdsaf

2x(x^3-8)
X^2+7x+10=0
2nd term in expansion of (y-2x)^4

Answers

Answer:

10.7

Step-by-step explanation:

HELP!!!! :( I will give 5 stars!

Answers

line was the problem, they’re supposed to subtract 10 not add 10

{(-2, 6), (2, 0), (3, 6), (4, -1), 5, 3)}
Dom:
Range:
Function?

Answers

Answer:

Domain = {-2, 2, 3, 4, 5}

Range= {6, 0, 6, -1, 3)

It is a function

Step-by-step explanation:

It is a function because there is only one y value for each x value

There are 12 girls and 15 boys in a class. The teacher wants to make reading groups with the same number of girls and boys in each group. What is the greatest number of reading groups that can be made

Answers

Answer:3

Step-by-step explanation:

The slope of this graph is?

Answers

the slope of the graph is -1/2 using the rise over run method it rises up one and too the left twice so it would he -1/2
The equation of the graph is y=-0.4x + 1, therefore the slope is -0.4

$4,200 with a 35% markdown

Answers

Answer:

1, 470

Step-by-step explanation:

4,200 * 0.35 = 1, 470

Answer:

2730 dollars

Step-by-step explanation:

35% of 4,200 is 1,470 so you want to subract 4,200 - 1470 = 2730

student is training 4 a track team during the first 3 months of the year by running 30 minutes every day, while averaging 5 miles each day.
Select graph that correctly shows the total miles ran during the time of training program​

Answers

30 minutes  -  5 miles;

1 hour -  10 miles

10 hours - 100 miles ...

The independent value is plotted along the x- axis ( Hours ) and the dependent variable is plotted  along the y-axis ( Miles ). Also:

3 months = 90 days

90 x 1/2 hours = 45 hours

Answer: The graph B ) ( or the second one ).  

Find the slope of the line that passes through (4,8) and (2, 1)


Please help

Answers

7/2 is your slope because you subtracted

Answer: (7,2)

Step-by-step explanation below.

Hello!

First, we need to put it in the y2-y1/x2-x1 form.

8-1/4-2 = 7/2

So the slope would be...

m = 7/2

So the line would go up 7 and right 2.

Hope this helps you!

What do I put in boxes explain
GIVING BRAINIEST

Answers

Answer: does, each input has two outputs

Step-by-step explanation:

Answer:

does represent a function because it intersects at more than one point, the relation is a function.

Step-by-step explanation:

You can tell whether a relation is a function by plotting the numbers on a graph and applying the vertical line test. If no vertical line passing through the graph intersects it at more than one point, the relation is a function.

PLEASE HELP!

You invest $1000 in an account that has an annual interest rate of 4%, compounded monthly for 12 years. What is the equivalent interest rate and how many times will the money be compounded?
0.33% and 1 time
3% and 4 times
3% and 144 times
0.33% and 144 times

Answers

Answer:

The final balance is $1,612.23.

The total compound interest is $612.23.

Step-by-step explanation:

The required equivalent interest rate and money compounded is 0.33% and 144 times respectively. Option b is correct.

Equivalent interest rate for 4% and how many times the money will be compounded to be determine.

What is arithmetic?

In mathematics it deals with numbers of operations according to the statements.

Here, the equivalent interest rate = 4%/12
                                                     
= 1/3
                                                     = 0.33%


Now, number of times money compounded = 12 years
                                                                    = 12 x 12 months
                                                                    = 144

Thus, the required equivalent interest rate and money compounded is 0.33% and 144 times respectively.

Learn more about arithmetic here:

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Which method would you use to solve the following equation?

Answers

Answer:

Inverse

Step-by-step explanation:

I would use the inverse. Hope this helps!

Solve the equation: 3x − x − 5 = 2(x + 2) − 9 No solution, 1, All real numbers, 0

Answers

Answer:

I hope this helps

Step-by-step explanation:

Simplifying

3x + -1x + -5 = 2(x + 2) + -9

Reorder the terms:

-5 + 3x + -1x = 2(x + 2) + -9

Combine like terms: 3x + -1x = 2x

-5 + 2x = 2(x + 2) + -9

Reorder the terms:

-5 + 2x = 2(2 + x) + -9

-5 + 2x = (2 * 2 + x * 2) + -9

-5 + 2x = (4 + 2x) + -9

Reorder the terms:

-5 + 2x = 4 + -9 + 2x

Combine like terms: 4 + -9 = -5

-5 + 2x = -5 + 2x

Add '5' to each side of the equation.

-5 + 5 + 2x = -5 + 5 + 2x

Combine like terms: -5 + 5 = 0

0 + 2x = -5 + 5 + 2x

2x = -5 + 5 + 2x

Combine like terms: -5 + 5 = 0

2x = 0 + 2x

2x = 2x

Add '-2x' to each side of the equation.

2x + -2x = 2x + -2x

Combine like terms: 2x + -2x = 0

0 = 2x + -2x

Combine like terms: 2x + -2x = 0

0 = 0

Solving

0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

GIVING BRAINLIEST!!!!

How many solutions exist for the given equation?

1/2(x+12)=4x-1 (1/2 is one half)


zero

one

two

infinitely many

Answers

Answer:

Two

Step-by-step explanation:

there is TWO sulotions!!!

Can anyone show me this? :(

Answers

I showed the steps in the photo

Hope you can understand it ^_^

Given the quadrilateral ABCD, what is the length of diagonal AC?

A 16/2
B 8/2
C 13
D 4/2
Square roots by the way

Answers

Answer: a

Step-by-step explanation:

x + 3 = 10 , then the value of x is

Answers

Answer:

7

Step-by-step explanation:

Because 7+3= 10, Please tell me if my answer is wrong

Answer: 7

Explanation:

Because 7+3=10

what is 4 9/10 as an improper fraction

Answers

Answer:

36/10

Step-by-step explanation:

4*9=36

The value of improper fraction is,

⇒ 49/10

We have to given that,

A mixed fraction to change into an improper fraction is,

⇒ 4 9/10

Since, An improper fraction is a fraction whose numerator is equal to or greater than its denominator.

Now, We can change it as,

⇒ 4 9/10

⇒ (10 × 4 + 9) / 10

⇒ (40 + 9)/10

⇒ 49/10

Therefore, the solution in improper fraction is,

⇒ 49/10

Learn more about the fraction visit:

https://brainly.com/question/5454147

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Find the simple interest paid on a loan of $750 with an 18% rate over 2 years.

Answers

Answer: $270

Step-by-step explanation:

I = prt

I = 0.18 x 750 x 2

I = 135 X 2

I = 270

Step-by-step explanation:

hope u understand from this picture

I need it asap HELP ME PLEASE​

Answers

Answer:

x=-38

Step-by-step explanation:

8x+51=6x-25

2x= -76

x= -38

Unit 3 Closing Activity

Your task is to package 36 cans of tennis balls for shipping. Each tennis ball can contain 3 tennis balls.
You must box them in two rows of 18 cans.

When you go to the box store to purchase a box, you notice that the boxes come in a variety of sizes. All dimensions are in multiples of 6” (ie. 6”, 12”, 18”, etc.). Assume the diameter of one tennis ball is 3 inches. Use 3.14 as the value of .

When talking to the shipping clerk, you find out that there is an extra charge for any extra space in the shipping box that is not taken up by the cans because they have to fill that space in with a filler. Since you are on a tight budget, you want to spend the least amount of money as possible to ship this box.

Your task:

Choose the size box that fits the cans for your shipment.

L= W= H=



2) Determine how much extra space there is in your box after you have put the cans in

Answers

Answer:

1) L = 54", W = 6", H = 9"

2) Extra Space = 1389.96 in³

Step-by-step explanation:

1)

LENGTH:

Since, there will be 18 balls along the length of box. Therefore,

Length = L = (18 balls)(Diameter of 1 ball) = (18)(3'')

L = 54"

WIDTH:

Since, there will be 2 rows of cans, and hence, 2 balls along the width of box. Therefore,

Width = W = (2 balls)(Diameter of 1 ball) = (2)(3'')

W = 6"

HEIGHT:

Since, each can can hold 3 balls along the height of box. Therefore,

Height = H = (3 balls)(Diameter of 1 ball) = (3)(3'')

H = 9"

2)

First we calculate the total volume of box:

Total Volume = L*W*H = (54")(6")(9") = 2916 in³

Now, we calculate volume of one ball:

Volume of 1 Ball = (4/3)π(d/2)³ = (4/3)π(3"/2)³ = 14.13 in³

Now, we calculate the total number of balls in box:

No. of Balls = (Balls along length)(Balls along width)(Balls along height)

No. of Balls = (18)(2)(3) = 108 balls

Now, we calculate the total volume of box occupied by balls:

Total Volume occupied by Balls = (No. of balls)(Volume of 1 Ball)

Total Volume occupied by Balls = (108)(14.13 in³)

Total Volume occupied by Balls = 1526.04 in³

Hence, the extra space will be:

Extra Space = Total Volume of Box - Total Volume Occupied by Balls

Extra Space = 2916 in³ - 1526.04 in³

Extra Space = 1389.96 in³

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