what is the equation in slop-intercept form of the line that passes through the point (5,0) and is parallel to the line represented by 6x+3y=12
a: y=-2/3+7
b: y=6x-1
c: y=2x-2
d: y=-2x+10

Answers

Answer 1
Answer:
d: y=-2x+10

Explanation:
There are a few concepts we need to understand when solving this problem. The first is what this form of a linear equation actually means: y=mx+b
Y=the y-coordinate
M=the slope
X=the x-coordinate
B=the y intercept (the point on h ty e line that crosses the y-axis)
This linear equation is called slope-intercept form.

The second thing we need to understand is that the equation 6x+3y=12 is organized into a different form of a linear equation: Ax+By=C. This is called the standard form of a linear equation.
A, B and C don’t mean anything that we can directly identify from a graph, which is why it’s best we reorganize this into slope-intercept form, where we can identify the slope and y intercept.

The last thing that we need to understand is that parallel lines have the same slopes.
Example: y=5x and y=5x+6 are parallel.

Knowing this, the first thing we should to is rearrange 6x+3y=12 into slope intercept form, and we do this by isolating y.

6x+3y=12
Subtract both sides by 6x
6x-6x+3y=-6x+12
3y=-6x+12
Divide both sides by 3
3y/3=(-6x+12)/3
y=-2x+4

From this equation, it is clear that -2 is in the position of m in y=mx+b, meaning that -2 is the slope of the given line.
Now, we can automatically rule out answer choices a, b and c since none of their slopes are -2, since parallel lines have the same slope.

I hope this helps!

Related Questions

HELP PLEASE ASAP DUE TODAYYY!!!! GIVE BRAINLISSTTTTR​

Answers

Answer:

y = 5x + 50

Step-by-step explanation:

for every time someone buys a shirt the money in total goes up by 5 for ex if I buy 10 shirts 5 * 10 = 50 + 50 = y, the amount of money, pls give brainliest lol, I need it to rank up

Plz help with this question

Answers

Answer

Just flip it upside down.

Step-by-step explanation:

Create and solve a linear equation that represents the model, where circles and a square are shown evenly balanced on a balance beam.


A. x + 10 = 6; x = -4

B. x = 6 + 10; x = 16

C. x + 6 = 16; x = 10

D. x + 6 = 10; x = 4

Answers

Answer:

D.   x + 6 = 10; x = 4

Step-by-step explanation:

to balance the beam, the weight on the left side must be equal to the right side.

x + 6 = 10    let x = box

x = 10 - 6

x = 4

therefore, the answer is D. x + 6 = 10; x = 4

∠A is a supplement of ∠B , ∠A is a complement of ∠C, and m∠B=124∘. Find m∠B+m∠C.

Answers

Answer:

158 degrees

Step-by-step explanation:

Here, we want to find the sum of the two angles.

If A is a supplement of B, it means that adding A and B together will yield 180 degrees

Mathematically;

A + B = 180

A + 124 = 180

A = 180-124

A = 56

Also, A is a complement of C

This means that adding A to C yields 90

A + C = 90

C = 90- A = 90 -56 = 34

Thus B + C = 34 + 124 = 158

Anyone know the answer to question b

Answers

Answer:ITS 465

Step-by-step explanation:

4 + 6 + 5 = 15

AND THE DIFFERENCE IS 2 BETWEEN 6 AND 4

The radius of a circle is 7cm. Find the circumference of the circle. Hence find the length of an arc of the circle which subtends an angle of 450at the centre.

Answers

Answer: 43.98cm

Step-by-step explanation:  C=2πr^2

If 35 liters of milk cost $28.00, what is the price per liter?

Answers

Answer: $0.80 a liter

Step by step explanation:
28/35
Which equals to
0.80
I think the answer is $0.80:)

could someone please give me a step by step explanation for this? this problem is new to me and i dont know which steps to take. it would be much appreciated!! <3

Answers

Step-by-step explanation:

darararam ♥️

What Value of x will make this equation true??
51 – 14x = 4 – 4x

Answers

Answer:

x = 47/10

Step-by-step explanation:

Step 1: Write equation

51 - 14x = 4 - 4x

Step 2: Solve for x

Add 14x to both sides: 51 = 4 + 10xSubtract 4 on both sides: 47 = 10xDivide both sides by 10: x = 47/10

Answer:

[tex]\boxed {x = \frac{47}{10}}[/tex]

Step-by-step explanation:

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

[tex]51 - 14x = 4 - 4x[/tex]

-Take [tex]4x[/tex] and add it to [tex]-14x[/tex]:

[tex]51 - 14x + 4x = 4 - 4x + 4x[/tex]

[tex]51 - 10x = 4[/tex]

-Subtract [tex]51[/tex] to both sides:

[tex]51 - 51 - 10x = 4 - 51[/tex]

[tex]-10x = -47[/tex]

-Divide both sides by [tex]-10[/tex]:

[tex]\frac{-10x}{-10} = \frac{-47}{-10}[/tex]

[tex]\boxed {x = \frac{47}{10}}[/tex]

So, the value of [tex]x[/tex] is [tex]\frac{47}{10}[/tex].

12
b) If two angles forming a linear pair are in the ratio 2:4 , find the measure of the smallest
angle.
25 points!

Answers

actually, this is worth 13 points. not 25. thanks!

Answer:

6 0°

Step-by-step explanation:

sum the parts of the ratio, 2 + 4 = 6 parts

A linear pair of angles sum to 180°

Divide by 6 to find the value of one part of the ratio.

180° ÷ 6 = 30° ← value of 1 part of the ratio, thus

2 parts = 2 × 30° = 60° ← smallest angle

Subtract. Write your answer in simplest form.
9 9/15 - 2 13/15 =

Answers

Answer:

6 11/15

Step-by-step explanation:

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

Find the quotient.
67(-1/2)
please help!!!!

Answers

-134 you just divide 67 by -0.5 or whatever works on your calculator

D. (3,0)

Pleasei suck in math need help
Mark brainliest

Answers

the answer is c. (2,0)

Answer:

B. (0,2)

Step-by-step explanation:

The y-intercept is the point that passes through the y-axis. The y-intercept is when the x-value equals 0.

And that is at (0,2)

Remember that a point always has the x first then the y-value (x,y)

Is the sequence arithmetic? If so, find the common difference.

‒2.4, 6.4, 15.2, 24

Answers

i believe it’s the common difference is 8.8

Answer:

yes

Step-by-step explanation:

There is a common difference d between consecutive terms in the sequence, that is

d = 6.4 - (- 2.4) = 15.2 - 6.4 = 24 - 15.2 = 8.8

Since there is a common difference between terms the sequence is arithmetic.

How to convert 7 2/5 into a improper fraction

Answers

Answer:

37/5

Step-by-step explanation:

7 2/5 = 37/5

5x7=35

35+2=37

Multiply the whole number and denominator then, add the numerator and put the sum of that back ontop of the denominator

Example:

W N/D   DxW=X  X+N= Y  

W N/D = Y/D

Alana has 12.5 cups of flour with which she is baking four loaves of raisin bread and one large pretzel. The pretzel requires 2.5 cups of flour to make. How much flour is in each loaf of raisin bread? Explain the steps to follow to get the answer

Answers

Answer:

Four times the amount of flour for the raisin bread plus 2.5 cups equals 12.5 cups total. The equation is 4x + 2.5 = 12.5. First, I subtract 2.5 from both sides, and then I divide both sides by 4. Each loaf contains 2.5 cups of flour.

Step-by-step explanation:

Answer:

Four times the amount of flour for the raisin bread plus 2.5 cups equals 12.5 cups total. The equation is 4x + 2.5 = 12.5. First, I subtract 2.5 from both sides, and then I divide both sides by 4. Each loaf contains 2.5 cups of flour.

Step-by-step explanation:

The temperature falls from 0 degrees to Negative 12 and one-fourth degrees in 3 and one-half hours. Which expression finds the change in temperature per hour?
Negative StartFraction 7 over 2 EndFraction divided by StartFraction 49 over 4 EndFraction
Negative StartFraction 7 over 2 EndFraction times StartFraction 49 over 4 EndFraction
Negative StartFraction 49 over 4 EndFraction times StartFraction 7 over 2 EndFraction
Negative StartFraction 49 over 4 EndFraction divided by StartFraction 7 over 2 EndFraction

Answers

The expression that finds the change in temperature per hour for this considered case is given by: Option D: [tex]\dfrac{-47/4}{7/2}[/tex]

How to measure the rate of change of something as some other value changes?

Suppose that we have to measure the rate of change of y as x changes, then we have:

[tex]Rate = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

where we have

[tex]\rm when \: x=x_1, y = y_1\\when\: x = x_2, y= y_2[/tex]

Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.

(5 change per 3 unit can be rewritten as 5/3 change per 1 unit)

For this case, we're specified that:

Initial temperature = 0 degrees.Final temperature = [tex]-12 \dfrac{1}{4}[/tex] degrees.Time taken for this change = [tex]3\dfrac{1}{2}[/tex] hours

Expressing final temperature in simple form:

[tex]-12\dfrac{1}{4} = -12 + \dfrac{1}{4} = \dfrac{-12 \times 4}{4} + \dfrac{1}{4} = \dfrac{-47}{4}[/tex]

Expressing time taken for the considered temperature change in simple forms:

[tex]3\dfrac{1}{2} = 3 + \dfrac{1}{2} = \dfrac{3 \times 2}{2} + \dfrac{1}{2} = \dfrac{7}{2}[/tex]

The temperature depends on time.

Suppose that:

x = time, y = temperature

Then, suppose that:

[tex]x_1[/tex] = Time when temperature was [tex]y_1 = 0[/tex] degrees.[tex]x_2[/tex] = Time when temperature was [tex]y_2 = -\dfrac{47}{4}[/tex] degrees.

Then, the rate of change of temperature would be:

[tex]Rate = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

The change in time is: [tex]x_2 - x_1 =\dfrac{7}{2}[/tex] (in hours).

Thus, we get:
[tex]Rate = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{-47/4 - 0}{7/2} = \dfrac{-47/4}{7/2}[/tex]

Thus, the expression that finds the change in temperature per hour for this considered case is given by: Option D: [tex]\dfrac{-47/4}{7/2}[/tex]

Learn more about rate of change here:

https://brainly.com/question/19167959

#SPJ2

Answer:

option D!

Step-by-step explanation:

which values are possible rational roots of 4x^3+9x^2-x+10=0 according to the rational root theorem?

Answers

Answer:

±1, ±1/2, ±1/4, ±2, ±5, ±5/2, ±5/4, ±10

Step-by-step explanation:

+p; 10: 1, 2, 5, 10

-q;   4: 1, 2, 4

±1, ±1/2, ±1/4, ±2, ±5, ±5/2, ±5/4, ±10

-3/8 (-6-2y) = 1/2 (2y - 3) -1°
solve it​

Answers

Answer:

y= -10/89

Step-by-step explanation:

89y=-10

89y/89 = -10/89

y= - 10/89

The value of sports team decreases at a steady rate of 20% each year. What is the total percentage loss (to the nearest integer) in the value of the sports team at the end of 4 years?

Answers

It would be 80% since it decreases 20% each year so 20*4 is 80 so it’s 80%

What is 604.2978 in the hundredths place?

Answers

Answer: 604.30

Step-by-step explanation:

You round it two to the right and add the number to the left by one every time the number is over 5.

604.30 is the awnser

Confirm that quadrilateral ABCD is a parallelogram. Measure and record the slope of each of its sides.
ASSAP!!!!!!!!!

Answers

Answer:

AB = 1.5

BC = 0

CD = 1.5

AD = 0

Step-by-step explanation:

Sample Answer for Plato

The correct answers for the parallelogram is

AB = 1.5BC = 0CD = 1.5AD = 0What is a Quadrilateral?

This refers to a shape or figure that has four sides and is a popular shape that is used in geometry.

Hence, from the complete question, we can see that some sides of the polygon are given and this is used to find the different sides of the ABCD parallelogram as shown above.

Read more about quadrilaterals here:

https://brainly.com/question/23935806

#SPJ2

The temperature at noon is -4 degrees Fahrenheit. The temperature at 6:00pm is -12 degrees fahrenheit. what is the difference between the noon and 6:00pm temperature.​

Answers

Answer:

8 degrees difference

Step-by-step explanation:

Just subtract the two numbers given

-4--12

-4+12=8

(not -8 because it’s the difference between the NOON and the 6pm tempature)

Help me plz!! I’ll give u brainly est or whatever its called

Answers

Answer:

-9 < x <= 2

Step-by-step explanation:

doesn't include -9 so less then sign

includes 2 so greater than or equal to sign

Divide: 1,485 ÷ 0.09

Answers

The answer is 16,500

Answer: 16,500

Step-by-step explanation:

Help me solve this problem please

Answers

Answer:

27

Step-by-step explanation:

(3²)³/3³ =

3 x 3 = 9

9 x 9 x 9 = 729

3 x 3 x 3 = 27

729/27 = 27

How will the volume of a cube change if its edge becomes twice as long; 3 times as long; 10 times as long; n times as long?

Answers

edge is 2 times as long : volume is 8 times as big, edge is 3 times as long : volume is 27 times as big, edge is 10 times as long: volume is 1000 times as big, edge is n times as long, volume is n^3 times as big.

Since the volume of a cube can be given by V = s^3 where s is the edge length, and V Is the volume of the cube. The change in volume relative to the change of its edge is ∆v/∆s = 3s^2 (derivative).

The volume of a cube would be 8x, ³  27x³, 1000x³  and n³ x³ changes as its edge becomes twice as long; 3 times as long; 10 times as long; n times as long respectively.

What is the volume of the cube?

The volume of a cube is equal to the product of the length, width, and height of a cube.

The volume of a cube is length × breadth× height

We have to determine the volume of a cube changes as its edge becomes twice as long; 3 times as long; 10 times as long; n times as long.

As we know that

The volume of the cube = side × side × side

Let us assume that one side of the cube is x

side = 2x

Then,

Volume = 2x ×2x×2x

Volume = 8x³

As per the given condition,

side = 3x

Then,

Volume = 3x×3x×3x

Volume  = 27x³

As per the given condition, 10 times as long

side = 10x

Then,

Volume = 10x×10x×10x

Volume  = 10³ x³

As per the given condition, n times as long

side = nx

Then,

Volume = nx×nx×nx

Volume  = n³ x³

Hence, the volume of a cube would be 8x, ³  27x³, 1000x³  and n³ x³ changes as its edge becomes twice as long; 3 times as long; 10 times as long; n times as long respectively.

Learn more about the cube here:

brainly.com/question/15420947

#SPJ2

Help Quickly. Find The Measure Of The Indicated Angle In The Diagram.

Answers

It’s 80 degrees because if you add 74 + 26 =100. 180-100=80

4/15 =x/1560 pls help

Answers

Answer:

x= 416

Step-by-step explanation:

Hope this helps.

Suppose thatb if a person travels the Europe for the first time, the probability that he will visit London is 0.70; Paris is 0.64; Rome is 0.58; Amsterdam is 0.58; London and Paris is 0.45; London and Rome is 0.42; London and Amsterdam is 0.41; Paris and Rome is 0.35; Paris and Amsterdam is 0.39; Rome and Amsterdam is 0.32; London, Paris and Rome is 0.23; London, Paris and Amsterdam is 0.26; London, Rome and Amsterdam is 0.21; Paris, Rome and Amsterdam is 0.20, and all 4 cities is 0.12. What is the probability that he will see at least one of these four cities?

Answers

Answer:

The probability that he will visit at least one of the four cities is 0.88

Step-by-step explanation:

The given information can be presented as follows;

The probability that he will visit London = 0.70 = A

The probability that he will visit Paris = 0.64 = B

The probability that he will visit Rome = 0.58 = C

The probability that he will visit Amsterdam = 0.58 = D

The probability that he will visit;

London and Paris = 0.45 = A∩B

London and Rome = 0.42 = A∩C

London and Amsterdam = 0.41 = A∩D

Paris and Rome = 0.35 = B∩C

Paris and Amsterdam = 0.26 = B∩D

London, Paris and Rome = 0.23 = A∩B∩C

London, Paris, and Amsterdam = 0.26 = A∩B∩D

London, Rome and Amsterdam = 0.21 = A∩C∩D

Paris, Rome and Amsterdam = 0.20 = B∩C∩D

All 4 cities = 0.12 = A∩B∩B∩D

Therefore, the probability, P(at least one), that he will visit at least one of the four cities is the complement of the probability that he will visit all the four cities

∴ P(at least one) = (A∩B∩B∩D)' = 1 - (A∩B∩B∩D) = 1 - 0.12 = 0.88

P(at least one) = 0.88

Which gives, the probability that he will visit at least one of the four cities = 0.88.

Other Questions
i have an exam coming up due next wed.what should i know before doing it? heeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp Charley Davis is 1/4 as old as his father. The sum of their ages is 45. How old is each person? What is a monopoly?A. when one company is strong enough to control an entire industryB. when one company controls the local governmentC. when the government controls a part of a businessD. when one company has factories in another country What are the connections between drugs and music? which savings account will earn you the most money A: One that compounds interest monthlyB: One that earns simple interest monthly C: One that compounds interest daily D: One that earns simple interest daily Write a letter about your life. Please I don t know what to write.I don t want TIPS. Buying insurance and investing for the future requires spending less in the present. Why is this a hard choice for many people? Would it be a hard choice for you? Change350 cmto metres. Which of the following is not something historians can learn about a society from its art and architecture?natural resourceslevel of workers' skillsvalues and prioritiesthe exact size of the population Everyday activities do not produce significant muscle growth because:-The body adapts to repeated demands so that movements performed regularly often do not produce enough stress to cause hypertrophy-Cytokines are released during everyday activities that inhibit muscle regeneration-Muscle growth requires going to the gym and lifting weights-The nervous system cannot respond by recruiting more fibers to generate hypertrophy Select the option that uses correct subordinate conjunction to join the following sentences together: I got a new puppy. I have been responsible lately. Sometimes I got a new puppy, I have been responsible lately. I got a new puppy, I have been responsible lately. I got a new puppy if I have been responsible lately. I got a new puppy because I have been responsible for lately. Q#1 A car is observed traveling 133 m in 4.5 seconds. (Show work)A) What is its Velocity in m/s?B) How long would it take this car to travel 3500m? what did the silk road not get to reach ? for me the most difficult part of the lesson is Peptides can be separated using an ionexchange column based on their isoelectric (pI) values. At which pH values would two different peptides, one with a pI of 5.55.5 and the other with a pI of 9.29.2 , bind to a cation and anionexchange column? Each peptide may be capable of binding to each column at more than one pH value. Reporting our results allows other scientists to build on our work. It also allows them to repeat our experiment to see if they get the same results. How does this selection contribute to the entire article? A by elaborating on ways that the scientific method has changed B by emphasizing a contrast between different results of the scientific method C by indicating the problems with reporting results of the scientific method D by illustrating the effects of the scientific method for other scientists What is the value of y?A. Cannot be determinedB. 65C. 60D. 120 How were Thomas Jeffersons and Thomas Paines contributions to the American Revolution similar?A. Both were moderate colonists who respected the British king.B. Both produced important texts associated with the revolution.C. Both participated in revolutionary wars and battles as soldiers.D. Both helped organize the Boston Tea Party. What is the difference, in hours and minutes, between these times?a)11:25 and 14:10