The equation of line L is 2x+y=3

Line M is parallel to line L and passes through
(1,−6)

Work out the equation of line M.
Give your answer in the form
y=ax+b

(3 marks)

Answers

Answer 1

Answer:

y = -2x - 4

Step-by-step explanation:

We transform the line equation of L:

2x + y = 3 --(-2x)--> f(x) = y = -2x + 3

We now know that L intersects the y-axis at 3 and it has a slope of -2.

In order to construct a parallel line M, it needs to have an identical slope to L.

All we need to do now is to move one step from the given point (1,-6) towards 0 with the predetermined slope of -2, resulting in the point (0,-4).

Since we know slope and intersection with the y-axis (0,-4), we can construct the line equation:

f(x) = y = -2x - 4 for line M.


Related Questions

when calculating probability, we give our answers as a

Answers

Answer:

Step-by-step explanation:  work

You can add ________ without changing either fraction's denominator.

A
1/3 and 1/2

B
3/7 and 4/5

C
2/3 + 2/5

D
2/5 and 3/5

Answers

Answer:

D I believe (so 2/5 and 3/5)

Answer:

D

Step-by-step explanation:

Because D has same dominator and you don’t change dominator when adding fractions

Hope this helps.

Mark brainliest if it help.

how many circles can be drawn passing through three non collinear points and how many circles can be drawn passing through three collinear points​

Answers

Answer:

Only one circle can be drawn through three non nonlinear points, No circle can be drawn through three nonlinear points

Step-by-step explanation:

A circle has a curve. As long as the three non nonlinear points both have the same amount of distance from the center of the circle it can be a circle drawn. No circle can be drawn through three points on the line.

9. A triangle has an area of 36 yd2 and a base of 3 yd, what is the height of the triangle?

Answers

Answer:

24yards

Step-by-step explanation:

Answer:

[tex]\boxed {\boxed {\sf 24 \ yards}}[/tex]

Step-by-step explanation:

The formula for a triangle's area is:

[tex]a= \frac{1}{2} bh[/tex]

We know the area is 36 square yards and the base is 3 yards.

[tex]a= 36 \ yd^2 \\b= 3 \ yd[/tex]

Substitute the values into the formula.

[tex]36 \ yd^2 = \frac{1}{2} (3 \ yd )h[/tex]

Divide by 1/2 or multiply both sides by 2.

[tex]2 * 36 \ yd^2 = \frac{1}{2} (3 \ yd )h *2[/tex]

[tex]72 \ yd^2= (3 \ yd)h[/tex]

We are trying to solve for the height, so we must isolate that variable. h is being multiplied by 3. The inverse of multiplication is division, so we must divide both sides by 3 yd.

[tex]\frac {72 \ yd^2}{3 \ yd}= \frac{(3 yd) h}{3 \ yd}[/tex]

[tex]24 \ yd =h[/tex]

The height of the triangle is 24 yards.

Find two fractions, when multiplied together make 3/4

Answers

Step-by-step explanation:

9/12 if we divided by 3

6/8 if we divided by 2

hope it helps u

The two fractions when multiplied together make 3/4 are, 1/2 and 3/2.

What is a fraction?

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

The first fraction can be 1/2 when multiplied by the second fraction 3/2.

Therefore,

The two fractions, when multiplied together make 3/4 is (1/2)×(3/2).

= 3/4.

learn more about fractions here :

https://brainly.com/question/10354322

#SPJ2

2y = -x-18
x-intercept:
y-intercept:

Answers

Answer:

Step-by-step explanation:

2y = -x-18

x-intercept
we make (y) = 0

2(0) = -x-18

0 = -x-18

18 = -x

x = -18


y-intercept

we make (x) = 0

2y = -(0)-18

2y = -18

y = -9

The following graphs are transformations of f(x) = x^2.




Complete the boxes below to describe the transformations.


A(x) = f (x + _) + _
B(x) = f (x + _) + _
C(x) = f (x + _) + _
D(x) = f (x + _) + _

Answers

Step-by-step explanation:

Let's look at A(x) and see how it is different from f(x)

it is shifted downwards by 8 unitsit is not shifted to the left or the right

Therefore A(x) = f(x) - 8

Let's look at B(x) and see how it is different from f(x)

it is not shifted downwards or upwardsit is shifted to the left 7 units

Therefore B(x) = f(x + 7)

Let's look at C(x) and see how it is different from f(x)

it is shifted upwards by 4 unitsit is shifted to right by 5 units

Therefore C(x) = f(x - 5) + 4

Let's look at D(x) and see how it is different from f(x)

it is not shifted downwards or upwardsit is not shifted to right by 12  units

Therefore D(x) = f(x - 12)

Debbie bought x pens. She paid $0.75, including tax, per pen. She gave the cashier $20 and received $8.75 in change. How many pens did Debbie purchase?

Answers

Answer:

15

Step-by-step explanation:

if she gave 20$ and got 8.75$ in change, she payed 11.25$

11.25$ (total) / 0.75 (per pen)= 15 (pens she bought)

Translations, reflections, and rotations produce a figure that is ______ to the original figure.

Answers

Answer:

Congruent.

Step-by-step explanation:

Charlotte needs to order some new supplies for the restaurant where she works. The restaurant needs at least 535 glasses. There are currently 321 glasses. If each set on sale contains 20 glasses, write and solve an inequality which can be used to determine s, the number of sets of glasses Charlotte could buy for the restaurant to have enough glasses.

Answers

Answer:

sadafsa a a a a a aa. a heehehwhwhwh hehehheeheheh im going to bed ehehebbebeeb for al jfdjskalsm or worse expelled harry potter

consider the system composed of the functions f(x), which is graphed below, and g(x)=cube root of x-2. what is the solution of this system? answer is an ordered pair

Answers

Hdkdhzgzhsveyebbrdbejke

Find f^-1(x) where
f(x) = 3x+2/x

Answers

Given:

Consider the function is

[tex]f(x)=\dfrac{3x+2}{x}[/tex]

To find:

The inverse of the function, .i.e., [tex]f^{-1}(x)[/tex].

Solution:

We have,

[tex]f(x)=\dfrac{3x+2}{x}[/tex]

Putting f(x)=y, we get

[tex]x=\dfrac{3y+2}{y}[/tex]

Isolate the variable y.

[tex]xy=3y+2[/tex]

[tex]xy-3y=2[/tex]

[tex]y(x-3)=2[/tex]

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

Putting [tex]y=f^{-1}(x)[/tex], we get

[tex]f^{-1}(x)=\dfrac{2}{x-3}[/tex]

Therefore, the inverse function is [tex]f^{-1}(x)=\dfrac{2}{x-3}[/tex].

GUYS AM I CORRECT?? I WILL MARK U BRAINLEST IF I GET IT RIGHT

Answers

Answer:

Yes you are correct.

Answer:

None of the above

Step-by-step explanation:

Your answer is correct. :)

A car moving on a highway covers the first 400.0 m in 18.0s and then covers the next 250.0 m in 24.0 s.

What is the average speed of the car?

Answers

Answer: 15.48 m/s

Step-by-step explanation:

The following information can be gotten from the question:

Total distance covered by the car will be:

= 400m + 250m

= 650m

Total time taken = 18.0s + 24.0s = 42s

Average speed = Distance/Time

= 650/42

= 15.48 m/s

Triangle A is the pre-image in a translation, and triangle B is the image, as shown below.

On a coordinate plane, triangle A is shifted 6 units to the right to form triangle B.

How was triangle A translated?
four units left
four units right
six units left
six units right

Answers

Answer: D is correct

Step-by-step explanation: Got a 100% on my test

The translation of triangle A is (d) six units right

The translation from triangle A to B

Translation involves changing the position of a shape

From the question, we understand that:

Triangle A represents the pre-imageTriangle A is shifted to the right by 6 units

This means that, triangle A was translated by 6 units to the right

Hence, the true statement is (d)

Read more about translation at:

https://brainly.com/question/4289712

please help me
The measure of an exterior angle of a triangle is x. The measure of the adjacent interior angle is at least twice x. List three possible solutions for x.​

Answers

Answer:

x=exterior

y=interior

x+y=180

y is greater than or = to 2x.

So one value could be x+2x=180

3x=180

x=60

or you could do 2x+1+x=180

3x=179

x=179/3

or 2x+2+x=180

3x=178

x=178/3

Step-by-step explanation:

what does 3(y + 4) = 3y + 12 equal?

Answers

Answer:

15y

Step-by-step explanation:

If you add 3 and 12 together you get 15 and when you get 15 you add in the y

Answer:

Y= - 4/3x + 4

Hope this helps :))

A solution to a system of equations will always be in what form?"​

Answers

Answer/Step-by-step explanation

set of values that satisfy all equations in the system, and there can be many such answers for any given system. Answers are generally written in the form of an ordered pair: (x,y).

Does anyone know this?​

Answers

Answer:

B

Step-by-step explanation:

(2*5) - 2 = 8

May Nilbin Be With You

18 = r/3 what is r???

Answers

Answer:

54

Step-by-step explanation:

r/3 = 18

r/3 * 3 = 18 * 3

r = 54

Answer:

54

Step-by-step explanation:

multiplication is the opposite of division so you can do 18*3=54 and you can check that by dividing 54 and 3 and the answer is 18

For a walk-a-thon a sponsor committed to give you a flat free of $5 plus $2 for every mile m you walk

Answers

Answer:

$45

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION BELOW;

For a walk-a-thon a sponsor committed to give you a flat fee of $5 plus $2 for every mile you walk. If you walk for 20 miles, what is the total amount you will collect from your sponsor at the end of the walk-a-thon?

$5 was given for participants of the walk-a-thon.

$2 was given for every miles won

Then, for "y" number of miles, the the amount that can be won is ( 2×y)= 2y

The Total amount that can be given

= (5 + 2y)

Where "y" is the miles value

Then, if you walk for 20 miles, The Total amount that can be given

= 5 + 2(20)

= 5+ 40

= $45

Sarawong invests $4,537 in a retirement account with a fixed annual interest rate of 4.55% compounded quarterly. What will the account balance be after 17 years?

Answers

Answer:

$8,046.37

Step-by-step explanation:

4,537*0.0455= 206.4335

206.4335*17=3509.3695

4537+3509.3695=8046.3695

8046.3695 rounded = $8,046.37

The graph of y= f(x) is shown below. What is the value of f(-3)

Answers

f(-3) -4, Use the graph to connect them

The value of the function at x = -3 is -1

What is function?

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range.

Given that a graph of y= f(x), we need to find f(-3)

The graph tells the value of y when x = -3 is -1

Hence, The value of the function at x = -3 is -1

For more references on function, click;

https://brainly.com/question/21145944

#SPJ2

how many square feet of outdoor carpet will we need for this hole​

Answers

Answer:

42 ft²

Step-by-step explanation:

First of all, who makes a hole in this shape?

Anyways,

You're going to want to split the figure into multiple different shapes. We already have a triangle, so I would split the remaining shape into a rectangle and trapezoid.

We can find the area of the triangle easily with the equation 1/2(bh)

So

1/2(2 · 3)

1/2(6)

3

So the triangle is 3 ft²

Now we can find the area of the rectangle.

The measurements will be 3 and 7. It's just base x height so it'll be 21 ft²

Finally the trapezoid.

Base 1: 6

Base 2: 3

Height: 4            (11-7)

Formula: 1/2h (b1 + b2)

1/2 · 4 (6+3)

2(9)

18 ft²

Now just add them together:

3+21+18=42

Hence, your answer is 42 ft²

Plz give me ans.




When.



....

Answers

Answer:

Step-by-step explanation:

Length : Breadth : height = 3 : 4 : 6

Length = 3x

Breadth = 4x

Height = 6x

Volume of cuboid = 576 sq.cm

length * breadth * height = 576

3x * 4x * 6x = 576

       72x³   = 576

             x³ = 576/72

            x³ =   8

            x³ = 2³

x = 2

Length = 3*2 = 6 cm

Breadth = 4* 2 = 8 cm

Height = 6*2 = 12 cm

Total surface area = 2*(lb + bh + hl)

                             = 2 * (6*8 + 8*12 + 12*6)

                            = 2 * (48 + 96 + 72)

                            = 2 * 216

                            = 432 sq.cm

What is the solution for xsquared= 64

A. Positive or r 4
B. 4
C. Positive or negative 8
D. 8

Answers

Answer:

64 rooted is D. 8

hey im so confused on these questions please answer all of them hurry!!

Answers

Answer:

m=4 and 2/7 and m=6 and m= -6 and m=1/3

Step-by-step explanation:

i just know it i love graphs

i hope this helps

Answer:

You need to add a little more than six points, people are using their hard earned time, for 5 questions, for six points, thats like having someone work at mcdonalds for a year and getting 10 dollars for the whole year. I will help you with as much as i can thought. **Keep this in mind**

Step-by-step explanation:

1. M=-6

2. M= -2/7

3. M=0

4. M= -1/4

5. M= -1/3

*Hopefully it's all correct, if not I apologize!

Please help the problems are in the picture provided below.

Answers

Answer:

Top Left= 40yd²

Top Right= 441yd²

Bottom Left= 21ft²

Bottom Right= 105ft²

Step-by-step explanation:

Top left- 10×4= 40

Top right- 21×21= 441

Bottom right- 7×3= 21

Bottom left- 15×7=105

If we all draw a triangle using the same three side lengths, will we all draw exactly the same triangle?

Answers

I JUST WANT POINTS /\ /\

_

technically yes? because we’re given the measurements we have to have!

For what values of x is the expression below defined? x + 3 / 1 - x

Answers

Answer:

3

Step-by-step explanation:

Answer:

Hello! The answer is -3 ≤ x < 1

Hope this helps :)

Other Questions
Work out the circumference of this circle with radius 7.5cmTake pi to be 3.142 1. What is the difference between a population and a sample? GramticaPresente de los verbos en -arAChoose the correct verb form,1. l (estudia, estudian) mucho,2. Yo (hablo, hablamos) espaol,3. Nosotros (miran, miramos) un DVD.4. La profesora (enseas, ensea) bien.5. T (trabajas, trabaja) mucho,6. Cunto (pagas, pagan) ustedes?7. Yo (enva, envo) muchos correos electrnicos.8. Ellas siempre (navegas, navegan) la red.Put the correct werh ending on each stem Speaker A: "The use of the bomb shortened the war and saved American lives." Speaker B: "The United States might have been able to force the Japanese to surrender simply by demonstrating the power of the bomb on a deserted island." Speaker C: "The use of the bomb was justified because of the Japanese attack on Pearl Harbor." Speaker D: "In Hiroshima, the bomb instantly incinerated more than 60,000 people. Most were civilians." 12. Which speakers hold the view that using the bomb was an appropriate military action? (5.2) A :A and B B :A and C C :B and C D :B and D Need help ASAPThanks + BRAINLIST only for correct answer 1.Cell phones convert sound waves into______waves.-light waves-sound waves-radio waves2.Electromagnetic waves used in cell phone communications are called?-microwave -radio wave-infrared -all of the above 3.To send out a radio signal far and wide...it is called?-broadcast-casting-antenna When a chemical change occurs, the identity of matter does not change.True or False? A rectangular prism has a volume of 3,510 feet cubed. It has a height of 12feet and a length of 13 feet. What is it's width? * ASAP PLEASE: 16 + 11(-2)2 - 25() = 28+c=36 what is the value of c Out of these, which is not an inequality?a. 435 5p + 4b. g - 7 < 100c. 18x + 9yd. a > 6b ____ is the amount of matter in an object. Question 1 options: Matter Gravitational Pull Mass Weight what is 1/3 devided by 3? Which of the following is NOT correct about slavery in the northern colonies?Select the best answer from the choices provided.A. Enslaved African Americans always enjoyed far better treatment than they did in the southern colonies.B. Enslaved African Americans were treated just as poorly as they were in the southern colonies.C. There was less need for enslaved African Americans.D. The slave trade delivered enslaved African Americans to northern and southern port towns. Suppose someone gives you 6 to 1 odds that you cannot roll two even numbers with the roll of two fair dice. This means you win 6 dollars if you succeed and lose 1 dollar if you fail. What is the expected value of this game to you. What can you expect if you play 200 times Identify the LIE in the following list of sentences.SELECT AN ANSWERThe Silk Road trade routetouches East Africa.The Silk Road trade routetouches South Asia.The Silk Road trade routetouches Central Asia. I need help I dont get how to solve it plsss help me In a data set with a normal distribution, the mean is 98 and the standard deviation is 12. About what percent of the data lie between 74 and 122? Describe the event called the "Little Rock Nine." ABCDEFGH The value of x is The author narrates her essay in nonchronological order to help convey her