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

Determine the end behavior of the function: f(x)= -3x*4

Answers

f(x)=-3x*4 = 6x^2 +C

-4(x-5)+8x=9x-3
Can somebody help me with this problem

Answers

Answer:

6.2x

Step-by-step explanation:

x = -17/5

hope its helpful ❤❤❤

THANK YOU.

Find the y-intercept.
Answer:

Answers

Answer:

usually the last numeral in an equation

Step-by-step explanation:

that'll be the y intercept

Answer:

shouldn't it be X.............m

Joann is buying a new couch with a discount of 18%. If the original cost of the couch was $610, what is the discounted price?

Which equations represent the final cost, x, of the couch?

Select all that apply.

x=610−610(0.18)
x=610(0.82)
x=610+610(0.18)
x=610(82)
x=610(1+0.18)
x=610−610(18)
x=610(1−0.18)

Answers

Answer:

$500.92

Step-by-step explanation:

am i right or wrong? i think im right but im not sure please help will give brainliest. if im wrong please explain the right answer to me

Answers

Answer:

Correct, good job!

Step-by-step explanation:

45% of $450:

$450 × 0.45 = $202.50

Add the 45% of $450 to $450

$202.50 + $450 = $652.50

I used a different method to double check your work

-16+ x= -15
Need this answer

Answers

Answer:

x=1

Step-by-step explanation:

Add

16

to both sides of the equation.x=−15+16 Add −15 and 16.x=1

Answer:

Step-by-step explanation:

-16 + x = - 15

Add 16 to both sides

-16 + 16 + x  = -15 + 16

              x = 1

PLEASE HELP ASAP!! Students take a test worth a total of 100 points. There are 24 questions on this test, some are worth 5 points and others are worth 3. Solve for how many 5 point questions and 3 point questions there are on the test

Answers

Answer:

There are 14 5-point questions and 10 3-point questions.

Step-by-step explanation:

Form 2 equations:

Let x= 5-point questions

Let y= 3-point questions

1.) x+y=24

2.) 5x+3y=100

Use substitution by reforming equation 1 in terms of x or y (I used y)

1.) y=24-x

Sooo, substitute this into the y in the 2nd equation:

5x+3(24-x)=100

5x+72-3x=100

2x=100-72

2x=28

x=14

Now that we have x, substitute this into the 1st equation to get y:

1.) y=24-x

y=24-14

y=10

In conclusion, there are 14 5-point questions and 10 3-point questions.

Answer:

There are 14 questions that are worth 5 points and there are 10 questions that are worth 3.

Step-by-step explanation:

14 x 5 = 70

10 x 3 = 30

70 + 30 = 100

14 + 10 = 24 questions total

Suponha que, em sua empresa familiar,
Dona Joana vende um salgadinho a x reais
(por unidade). A quantidade vendida por dia
diminui com o preço e é dada por 32 – x.
Portanto, a equação quadrática
x (32 – x) = 31
significa que, com o preço x, o total
apurado nas vendas, isto é, a receita, é igual
a 31 reais por dia.
Qual o menor preço X do salgadinho para
que isto ocorra?​

Answers

Answer:

1 Real

Step-by-step explanation:

Para encontrarmos o menor preço "x", do salgadinho que a empresa familiar Dona Joana costuma vender, basta resolvermos a equação quadrática informada pelo enunciado. Veja:

x(32 − x) = 31

Com a equação de 2º grau na forma fatorada, é possível desmembrarmos em duas outras equações. Uma delas é x = 31, que veio dos termos em negrito: x(32 − x) = 31, e a outra raiz é: 32 - x = 31, que veio dos termos em negrito x(32 − x) = 31.

Calculando as raízes:

x = 31

ou

32 - x = 31 ⇔ -x = 31 - 32 ⇔ -x = -1 ⇔ x = 1

Assim, as raízes são x = 31 e x = 1.

Testando os valores:

Para x = 31:

x(32 − x) = 31

31(32 - 31) = 31

31(1) = 31

31 = 31

Para x = 1

x(32 − x) = 31

1(32 - 1) = 31

1(31) = 31

31 = 31

Ok, está correto! E o menor valor  do salgadinho para que a receite dê R$ 31,00 é R$ 1,00.

Resposta:

Portanto, o menor preço que o salgadinho pode ter para que a receita seja igual  31 reais é R$ 1,00.

Mondays at pizza pan you can cheese to toppings at no extra cost for your pizza to tacos are mushroom sausage peppers and extra cheese how many different pizza's could you order

Answers

Answer:

We can order 35 different types of pizza based on the toppings.

Step-by-step explanation:

There are 3 different types of pizza crust which a person can choose for his pizza. On Monday's company has introduced new campaign in which a person can choose extra toppings of his choice at no additional cost. The topping are of 7 different types. The total number of different pizza which a person can have is 7C3. Solving through computation technique we get 35.

2. Jacque Cousteau is in a submarine at a depth of 112m. The submarine is rising at a constant rate of 2 metres every 3 seconds. a) Write an equation to represent the submarine's depth, D in metres, with respect to time, t, in seconds.

Answers

I hope this makes sense!!!!

37 degrees Celsius to Fahrenheit ​

Answers

98.6 degrees fahrenheit

Answer:

98.6 Fahrenheit

Step-by-step explanation:

What is the Unit price of 20 tickets for $14.00 ?

Answers

Answer: 1 ticket = 70 cents.

Step-by-step explanation:

If you get 20 tickets for 14.00, then we have to divide 14 by 20.

14 ÷ 20 = 0.7, or 70 cents. Because of this, each ticket will cost 70 cents.

Answer is 70 cents

Enjoy

Why is the percent increase from 45 to 75 not equal to the percent decrease from 75 to 45? Select three options.

Answers

Answer:

Step-by-step explanation:

The reason the percents are not the same is probably because you are finding percentage diffrences from diffrent numbers.

Answer:

A,C, and E

Step-by-step explanation:

I took the test

JD opened a savings account with $400. The simple interest rate is 3% per year.
How much total money, including interest, will be in his account after 2 years?

Answers

Answer:

$424

Step-by-step explanation:

3%=0.03

400X0.03=12

12X2

24(2 YEARS)

400+24=$424

10 (a) Simplify
t+t+t

Answers

3 bc im right and your wrong im bigger your smaller and idek what im saying

16. Which is greater, 4^-2 or
2^-4? How do you know?

Answers

Answer: if this is a fraction 4\2 is greater

Step-by-step explanation: First you need same denominaters the lest coomon is four 2 over 4 is fine 4 over 2 two times 2 is 4 and 4 times 4 is 16 with will leave you with 16/4 or 2/4 simplfied 4/2 is greater

Answer:

The expressions are equal.

Step-by-step explanation:

Notice that [tex]a^{-b}=\frac{1}{a^b}[/tex] for all (real) [tex]a,b[/tex]. So [tex]4^{-2}=\frac{1}{4^2} = \frac{1}{16}[/tex] and [tex]2^{-4} = \frac{1}{2^4} = \frac{1}{16}[/tex]. Therefore, the expressions are equal.

CAN SOMEONE HELP MEEE PLEASEE!!

Answers

Answer:

D.6h+18

Step-by-step explanation:

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)

Help me with my math pls

Answers

[tex]18 - ( \sqrt[3]{27} )^{3} [/tex]

Answer: -9

[tex]( \sqrt[3]{ - \frac{1}{8} } )^{3} + 3 \frac{3}{4} [/tex]

Answer: 3 5/8.

[tex]5 \sqrt[3]{729} - 24 [/tex]

Answer: 21.

[tex] \frac{1}{4} - 2 \sqrt[3]{ \frac{1}{216} } [/tex]

Answer: 7/12.

[tex]54 + \sqrt[3]{ - 4096} [/tex]

Answer: 38.

[tex]4 \sqrt[3]{8000 } - 6[/tex]

Answer: 74.

0.965 x 102 help me plz​

Answers

98.43

May nilbin be with you

Answer:

0.965× 102= 98.43

This is right ans

Match each condition to the number of triangles that can be constructed to fit the condition. condition A: one side measuring 4 inches, another side measuring 8 inches, and a third side measuring 10 inches condition B: one angle measuring 60°, another angle measuring 40°, and a third angle measuring 90° condition C: one side measuring 4 inches, another side measuring 8 inches, and the angle between them measuring 70° condition D: one side measuring 5 inches, another side measuring 7 inches, and a third side measuring 12 inches condition E: one angle measuring 30°, another angle measuring 80°, and the length of the included side measuring 8 inches condition F: one angle measuring 40°, another angle measuring 80°, and a third angle measuring 60°

Answers

Answer:

I think the guy above me means:

No Triangles:  A, C

One Triangle:  D, F

Many Triangles:  B, E  

Step-by-step explanation:

¯\_(ツ)_/¯

The no triangle possible: B and D, one triangle possible : A, C, and E, and many triangles: F.

What is the triangle?

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

Checking for the A)

4 + 8 > 10

There is one triangle possible.

For B)

60 + 40 + 90 = 190 ≠ 180 degree

No triangle possible because the sum of the angles in triangle is 180 degree.

For C)

There are two sides are given and one angle so SAS

One triangle is possible.

For D)

7 + 5 = 12

There is no triangle possible because the sum of the two sides is equal to the third side.

For E)

By the rule of ASA one triangle is possible.

For F)

60 + 80 + 40 = 180 degree

There are three angles are given, but no sides are given, so many triangles are possible.

Thus, the no triangle possible: B and D, one triangle possible : A, C, and E, and many triangles: F.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ2

Make h the subject
G=5h-2f÷3

Answers

Answer:

I think H=5g-2f÷3 ( I'm not sure at all sorry )

Sherry is making snack mix for a school field trip.
The recipe shows the amount of each ingredient needed to make 6 bags.

Complete each statement to adjust the ingredients for each new situation if Sherry uses this recipe.

1. To make 18 bags of snack mix, Sherry needs____ cups of almonds
2. Sherry needs 6 cups of granola to make____ bags of the snack mix.
3. If Sherry uses 1 cup of cranberries, she will need to use____ cups of raisins.
4. The recipe will make____ bags of the snack mix if Sherry uses only 1 cup of granola.

Answers

Answer:

Step-by-step explanation:

1- To make 18 bags of snack mix, Sherry needs 4.5 cups of almonds.

As the original recipe is for 6 bags, and here Sherry wants to triple that amount. You have to multiply 1.5 x 3.

2- Sherry needs 6 cups of granola to make 12 bags of the snack mix.

If Sherry gets 6 bags using 3 cups of granola, she will get 12 by using 6 cups of granola.

3- If Sherry uses one cup of cranberries, she will need to use 2 cups of raisins.

As 1 cup of cranberries is the double of what the recipe states, Sherry should also double the amount of cups of raisins.

4- The recipe will make 2 bags of the snack mix if Sherry uses only one cup of granola.

As 1 cup of granola is a third of the amount detailed in the recipe for 6 bags, the amount of bags will also be reduced to a third. 6/3=2

PLZ MARK BRAINLIEST IT TOOK LONG TO WRITE PLZZ

A baker made 20 muffins for a cafe. By noon, 15% of the muffins were sold. How many muffins were sold by noon?

Answers

Answer:

15% of 20 is 3, so 3 muffins were sold.

Step-by-step explanation:

To get this answer, multiply the percent by the total (15 x 20 = 300) and then divide the answer by 100. (300 / 100 = 3). Hope this helps :)

Answer:3

Step-by-step explanation:

0.15x20=3

0.15 is the percent of muffins, to find out a percentage over a number, you do the percentage dived by 100. Than, you multiply it by the number.

The picture shows a blue rectangle split into 6
equal parts and an orange rectangle split into 6
equal parts.

Drag figures to each box so that their total area is equal to the number given.

Answers

Answer:

what is the answer?

Step-by-step explanation:

Answer:

Answers are in the pictures.

Step-by-step explanation:

54 POINTS!!!!! PLEASE HELP LOL
Amber coaches soccer and volleyball. She coaches both sports for a total of 10 hours each day. The soccer practice lasts 1 hour more than twice as long as the volleyball practice.
Write a system of equations to model the situation. Use v for the number of hours Amber coaches volleyball in a day and s for the number of hours she coaches soccer
How many hours each day does Amber spend coaching each sport?
Show your work.

Answers

Answer:

10(1*2)+s

Step-by-step explanation:

Pleaseee help answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!

Answers

Answer:

108º

Step-by-step explanation:

to find the sum of interior angles: ( n − 2 ) × 180 = x

x = 540º

n = # of interior angles

first, solve for n

(n - 2) • 180 = 540                        distribute to 180 to (n - 2)

180n - 360 = 540                         add 360 to both sides

180n = 900                                  divide both sides by 180

n = 5

to find measure of each angle:

540 ÷ 5 = 108º

If each muffin contains the same amount of sugar, how many kilograms of sugar, to the nearest thousandth, are in each corn muffin? Dry Ingredients for 1,000 Corn Muffins Ingredient Number of Kilograms Cornmeal 180 Flour 140 Sugar 64.1 Baking powder 12 Salt 3.15 Each corn muffin contains .600 kilograms of sugar.

Answers

Answer:

0.060 kg

Step-by-step explanation:

Number of corn muffins = 1000

Muffins Ingredient _Number of Kilograms Cornmeal _______180

Flour __________140

Sugar ________ 64.1

Baking powder _12

Salt ________3.15

The number of Kilograms of sugar in each corn muffin :

Kilogram of sugar / number of corn muffins

= 64.1 / 1000

= 0.0641 kg

To the nearest thousandth :

0.060 kg

ANSWER CHOICES LISTED!!!
what was done to the linear parent function f(x)=x to get the function g(x)=1/7 x?
A. Vertically stretched by a factor of 7
B. Shifted 1/7 unit up
C. Vertically compressed by a factor of 7
D. Horizontally compressed by a factor of y

Answers

Answer:f(x) = x becomes g(x) = (1/5)x through vertical compression by a factor of 5.

Step-by-step explanation:

Answer:

Option C

Step-by-step explanation:

A vertical compression by a factor of 7, would result in in g(x) being 1/7 times f(x)

geometry: pls help :(

Answers

AC=64
CF=32
DF=28
this should be right:)
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