Write parametric equations of the line [tex]-4x+y=-2[/tex]

a. [tex]x=t, y=4t-2[/tex]

b. [tex]x=t, y=-4t-2[/tex]

c. [tex]x=t, y=4t+2[/tex]

d. [tex]x=t, y=-4t+2[/tex]

Answers

Answer 1

Answer:

Option a

Step-by-step explanation:

Assign a value to variable x =t

Eq becomes

-4t+y=-2

y=4t-2


Related Questions

Help me please!!
Find the measure of EG.
A.18
B.11
C.14
D.13

Answers

Answer:

d.13 the measure of eg that's the answer

Subtracting Fractions:
What’s 4 - 4/7 =
2.) 3 - 5/7 =
3.) 4 - 3/4 =
4.) 2 - 5/8 =
need help with this I’ll give brainlist!

Answers

Answer:

[tex]4 - \frac{4}{7} \\ \frac{4 \times 7 - 4}{7} \\ \frac{28 - 4}{7} \\ \frac{24}{7}

I hope it helped U

stay safe stay happy

15 people are sharing $482 fairly between them. How many dollars should each person take?

Answers

Answer: $32.1

Explanation:

$482/15 = $32.1

I need help pls pls pls pls

Answers

Answer:

1. -18x+6

multiply everything inside with the number outside the bracket

2. -18x-6

same as number one

3. 18x-12

same as number one

4. -18x-6

same as number one

for 5 I can't see it well but it should be similar

you just need to substitute what's outside the bracket to what Is inside the bracket

Answer: -6 (3x+1)

Step-by-step explanation:

Factor the polynomial -18x-6−18x−6 by it's GCF: -6−6

Three sizes of popcorn buckets are on sale at a movie theatre. The large bucket holds 15 1/2 cups of popcorn. The medium bucket holds 1/3 of the amount of the large bucket. The small bucket holds 2/4 of the amount of the medium bucket. How many cups does the medium bucket hold?

Answers

Here we have a problem of algebra. We will find that:

The medium bucket can hold 5 and 1/6 cups of popcorn.

Remember that for mixed numbers, like "4 and 1/5", the way of writing that number is (4 + 1/5).

Now, let's solve the question:

We know that the large bucket holds (15 + 1/2) cups.

We also know that the medium bucket holds 1/3 of the large bucket, and we want to know how many cups does the medium bucket hold.

This is just (1/3) times the amount that the large bucket holds, so we have:

(1/3)*(15 + 1/2) cups

Using the product distributivity, we can write:

(1/3)*(15 + 1/2) cups = ( (1/3)*15 + (1/3)*(1/2) ) cups = (5 + 1/6) cups

Then we can conclude that the medium bucket can hold 5 and 1/6 cups of popcorn.

If you want to learn more, you can read:

https://brainly.com/question/24539316

mp rs 700 and sp rs 524 find discount step by step.

Answers

Cost price=CP=700Sold price=SP=524

[tex]\boxed{\sf Discount=CP-SP}[/tex]

[tex]\\ \sf\longmapsto Discount=700-524[/tex]

[tex]\\ \sf\longmapsto Discount=176[/tex]

Answer:

cost price(cp)=rs.700

sold price(sp)=rs.524

discount =cp-sp

discount =700-524

discount =rs.176

Prove:1/sin²A-1/tan²A=1​

Answers

Step-by-step explanation:

1/sin^2A -cos^2A/sin^2 A. ~tan = sin/cos

(1-cos^2)/sin^2A. ~ take lcm

sin^2A/sin^ A. ~ 1-cos^2A = sin^2A

1

for more free ans check bio

Answer:

[tex]\displaystyle \frac{1}{\sin^2x}-\frac{1}{\tan^2x}=1[/tex]

Step-by-step explanation:

Prove that:

[tex]\displaystyle \frac{1}{\sin^2x}-\frac{1}{\tan^2x}=1[/tex]

Recall that by definition:

[tex]\displaystyle \tan x=\frac{\sin x}{\cos x}[/tex]

Therefore,

[tex]\displaystyle \tan^2x=\left (\frac{\sin^2x}{\cos^2x}\right)^2=\frac{\sin^2x}{\cos^2x}[/tex]

Substitute [tex]\displaystyle \tan^2x=\frac{\sin^2x}{\cos^2x}[/tex] into [tex]\displaystyle \frac{1}{\sin^2x}-\frac{1}{\tan^2x}=1[/tex]:

[tex]\displaystyle \frac{1}{\sin^2x}-\frac{1}{\frac{\sin^2x}{\cos^2x}}=1[/tex]

Simplify:

[tex]\displaystyle \frac{1}{\sin^2x}-\frac{\cos^2x}{\sin^2x}=1[/tex]

Combine like terms:

[tex]\displaystyle \frac{1-\cos^2x}{\sin^2x}=1[/tex]

Recall the following Pythagorean Identity:

[tex]\sin^2x+\cos^2x=1[/tex] (derived from the Pythagorean Theorem)

Subtract [tex]\cos^2x[/tex] from both sides:

[tex]\sin^2=1-\cos^2x[/tex]

Finish by substituting [tex]\sin^2=1-\cos^2x[/tex] into [tex]\displaystyle \frac{1-\cos^2x}{\sin^2x}=1[/tex]:

[tex]\displaystyle \frac{\sin^2x}{\sin^2x}=1,\\\\1=1\:\boxed{\checkmark\text{ True}}[/tex]

Please rewrite in simplest radical form (the problem in the photo below). Show each step of the process and explain what you did. Thank you for your time.

Answers

Answer:

√x

Step-by-step explanation:

1/(x^(-3/6)

= x^(3/6)

= x^(1/2)

= √x

Planes X and Yand points J, K, L, M, and N are shown.

Exactly how many planes contain points J, K, and N?

X

O 0

O 1

O 2

03

K

Υ

2

.M

.N

Answers

Answer:

0

Step-by-step explanation:

0

Number planes contain points J, K and N is 0. Therefore, option A is the correct answer.

What is a plane?

A plane in geometry is a level surface that never ends. Other names for it include a two-dimensional surface. A plane has an unlimited width, an endless length, zero thickness, and no curvature.

Given that, X and Y are planes.

In the given figure, point J lies outside the X and Y planes.

Points K and N are lies on plane X.

So, J, K and N are not lying in the same plane.

Therefore, option A is the correct answer.

Learn more about the coordinate plane here:

https://brainly.com/question/24134413.

#SPJ7

can anyone help me pleassseeee!

Answers

Answer:

baba booey

Step-by-step explanation:

If A teacher works 8 hours a day and earns 15 Dollars How Much money would she have is 4 Days?

Answers

She would have 480$. If you multiply 8 x 15 your will get 120. You than multiply 120 x 4.

(cos θ) ( sin 2θ) -2 sin θ +2 =0

Answers

Answer:

[tex](cos \:\theta )(sin\: 2\theta)-2\:sin\: \theta +2=0[/tex] [tex]\Longleftarrow[/tex] substitute

[tex]sin\: \theta \: cos^{2} -sin \theta +1=0[/tex] [tex]\Longleftarrow[/tex] Divide both sides by 2

[tex]sin\theta (cos^{2} \theta -1)+1=0[/tex] [tex]\Longleftarrow[/tex] Factor

[tex]sin \theta (sin^{2} \theta )+1=0[/tex] [tex]\Longleftarrow[/tex] substitute

[tex]sin^{3} \theta =-1[/tex] [tex]\Longleftarrow[/tex] Isolate

[tex]sin \theta =-1[/tex]

[tex]\theta =\frac{3\pi }{2} ,\frac{7\pi }{2}[/tex]

OAmalOHopeO

Some food is able to keep 150 students fed at camp for 5 days,
How many days will the food last for if there are 100 students,

I know its 7.5 but why do people x the 150 and 5 i dont get it

Answers

Answer:

x=7.5

Step-by-step explanation:

s is for students

d is for days

150 s take 5 days to finish food

if there are 100 s how many days will the same amount of food take

so 150 students × 5 days = 750 equation 1

100 students × x days= 100x equation 2

750 from 1 = 100 x from 2

750÷100=x

x=7.5 days

Determine the slope for the equation.


I started it but got stuck​

Answers

7/5 thats the answer lol

A sector of a circle has an arc measurement of 110°. The area
of the sector is 117 cm What is the diameter of the circle?​

Answers

Answer:

22.08 cm

Step-by-step explanation:

Area = pi*r^2*(angle/360)

r=11.04, d=22.08

Inverse proportion
fourteen people could paint 35 identical plates in 2 hours
At this rate, how long would it take 20 people to paint 60 identical plates?
I know answer I just need explanation
:]

Answers

Step-by-step explanation:

check out this answer

hope you fine

Someone help asappppp

Answers

Answer:

all have "bases" less than one which is a decay...

only "C" is greater than 1 (1.01)

"C" is the answer

Step-by-step explanation:

find HCFof
6x^2y and 9xy​

Answers

Step-by-step explanation:

1st expression= 6x^2y

2nd expression= 9xy

HCF= 3xy

what is photography????​

Answers

Answer:

the art or practice of taking and processing photographs.

Step-by-step explanation:

question came up for me and i chose this and it was right.

Answer:

photography ... is a item that is a visual representation of something.

if you really don't know the word it is taking a picture of something (a "selfie").

Photo = light  ....  Graph = image  so technically speaking a

photograph is "making a image using light"

Step-by-step explanation:

PLS HELP ME!!!
A sample is generated from a population of 20 items. Each of the 20 items are given a label, and a 20-sided die is rolled 3 times to determine which 3 items are in the sample. This is an example of a __________.

A. systematic sample

B. random sample

C. convenience sample

D. self-selecting sample

Answers

Answer:

Option B, random sample

That should be the answer

A group of friends is addressing wedding invitations. Casey can address 22 envelopes in one hour, Anne can address 48 envelopes in two hours, and Paula can address 62 envelopes in three hours. About how long will it take them to address 420 envelopes?

A.
19.09 hours
B.
22.00 hours
C.
7.24 hours
D.
6.30 hours

Answers

Answer:

D

Step-by-step explanation:

Let's say that we have x amount of hours.

Casey addresses 22 envelopes per hour. Another way of writing this is that for x hours, Casey addresses 22 envelopes. Therefore, given x hours, Casey addresses 22 * x envelopes.

Anne can address 48 envelopes in 2 hours. It is important to note that this is for 2 hours. To make this per 1 hour, we can write

48 envelopes = 2 hours

divide both sides by 2

24 envelopes = 1 hour.

Therefore, given x hours, Anne addresses 24 * x envelopes.

Paula can address 62 envelopes in 3 hours, so

62 envelopes = 3 hours

divide both sides by 3

62/3 envelopes = 1 hour

Given x hours, Paula can address 62/3 * x envelopes.

Adding all of these up, given x hours, the group of friends can address

22 * x + 24 * x + 62/3 * x envelopes. Because the variables are all the same (x), we can add up the coefficients, resulting in

(22 + 24 + 62/3) * x = (46 + 62/3) * x envelopes given x hours

We want to figure out the amount of hours (x) for 420 envelopes. The total amount of envelopes is equal to (46 + 62/3) * x, so we set 420 equal to that, resulting in

(46 + 62/3) * x = 420

divide both sides by (46 + 62/3) to isolate x

420 / (46 + 62/3) = x

= 6.3 hours

A gas station has monthly expenses in dollars of 5000+2.2 X. It sells the gas at $2.25 per gallon. How many gallons do they need to sell to make a profit of $3000 per month

Answers

The number of gallons to be sold in a month is 160,000 gallons.

Your question is incomplete. It looks like you are referring to this question below:

A gas station has monthly expenses in dollars of 5000+2.2 X. It sells the gas at $2.25 per gallon. How many gallons do they need to sell to make a profit of $3000 per month, if X is the number of a gallons sold.

The given parameters include;

total monthly expenses, t = $(5000 + 2.2x)

number of gallons sold,  = x

price of a gallon, p = $2.25

estimated profit in a month, g = $3000

The equation for profit made in a month is as follows;

Total revenue - expenses = profit

2.25x - (5000 + 2.2x) = 3000

2.25x - 5000 - 2.2x = 3000

0.05x = 8000

x = 8000/0.05

x = 160,000 gallons

Therefore, the number of gallons to be sold in order to make the estimated profit in a month is 160,000 gallons.

To learn more about revenue and profit kindly visit: https://brainly.com/question/23706629

Dont give me wrong answers. please help though.​

Answers

Answer:

24 in^3

Step-by-step explanation:

Volume of the figure= 3 * (Volume of a cube with side 2)

Volume of the figure= 3*2^3=24 in^3

Answer:

24 cubic inches

Step-by-step explanation:

The formula for finding volume is b*h*w.

b*h*w is base multiplied my height multiplied my width. Lets use this formula to find the volume of one of cubes.

Here is the information we know about the cubes:

the base is 2 inches

the height is 2 inches

the width is 2 inches

Lets put this information into the formula to find the volume of one of the cubes. I will show the work in steps so it is easy to follow.

Step one: plug the given information into the formula.

b*h*w = 2*2*2

Step two: Solve the equation.

2*2*2 = 4*2 = 8

Now we have the volume of one on the cubes. This is 8 cubic inches. However, to find the volume of all three of the cubes we must multiply 8 by 3.

Step three: multiply 8 by 3.

8*3 = 24

And there you have it! Our final answer is 24 cubic inches.

Here is a quick review of what we did to get our answer:

2*2*2 = 8

8*3 = 24

I hope this helps!

FIND the product
(5a³-3a²+8)(3a-4)​

Answers

i hope you will like it

Divide the rational expressions

Answers

Answer:

Step-by-step explanation:

a grocery store buys boxes of cereal for $ 2.00 each and sells them for 50% more. what does the grocery store charge its customers for each box of cereal?

Answers

Answer:

$3.00

Step-by-step explanation:

First find the markup

2.00 * 50%

2 * .5

1

Add this to the original price

2+1 =3

The store sells the cereal for $3.00

Answer:

$3

Step-by-step explanation:

The grocery store pays $2.00 for each box of cereal bought.

First, find 50% of the cost of each box:

2.00 x 0.50 = 1.00

Next, add the additional amount to the starting price:

2.00 + 1.00 = $3.00

$3.00 is your answer.

~

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!

Answers

Answer:

B or A

Step-by-step explanation:

got it right on a test a year ago

(is probably B though.)

The answer would be b

How do you solve 17 and 18 I need explanation pls

Answers

Answer:

17. C

18.G

Step-by-step explanation:

17. According to the question, gravel is 4/13 of the total asphalt substance. One parking lot has 260 tons of asphalt. So this means there is 80 tons of gravel because 260 times 4/13=80. We need to find the tons of gravel if we made 3 parking lot. This means 3 parking lot is the same as 780. So we can just find the measure of gravel by multiplying

4/13 by 780.

[tex] \frac{4}{13} \times 780 = 240[/tex]

So there is 240 tons of gravel. C is the answer.

18. Set up system of equations.

[tex]a + b + c = 110[/tex]

The ratio of a to c is 1:7 and the ratio of b to c is 3:7. Using this information,

C is 7 times more than A.A is 3 times less than B

Using this info, we can make alternate equations

[tex]c = 7a[/tex]

[tex]b = 3a[/tex]

Subsitue this into the original equation,

[tex]a + 7a + 3a = 110[/tex]

[tex]11a = 110[/tex]

[tex]a = 10[/tex]

We need to find c, c is 7 times more than a so c is

[tex]c = 10 \times 7 = 70[/tex]

The total cost of 2 bracelets and 3 necklaces is $15.50. The total cost of 4 bracelets and 1 necklace is $13.50. Let b represent the cost of each bracelet and n represent the cost of each necklace. This situation can be represented by the following system of equations.

{2b+3n=15.504b+n=13.50

What is the cost of one bracelet?

A
$2.50

B
$7.75

C
$5.00

D
$3.50

Answers

Answer:

A

$2.50

Step-by-step explanation:

b = cost of bracelet

n = cost of necklace

2b+3n = 15.50

4b+1n = 13.50

Multiply the first equation by -2

-4b -6n = -31

4b +n = 13.50

---------------------------

-5n = -17.50

Divide each side by -5

-5n/-5 = -17.5/-5

n = 3.50

Now we can find b

4b+n = 13.50

4b+3.50 = 13.50

4b+3.50-3.50 = 13.50 -3.50

4b = 10

Divide by 4

4b/4 = 10/4

b = 2.50

7x+2y=19
7x+8y=13
Please solve it by Simultaneous method

Answers

Answer:

y=-1

x=3

Step-by-step explanation:

7x+2y=19-----(1)

7x+8y=13------(2)

(1)-(2)

(7x+2y)-(7x+8y)=19-13

7x+2y-7x-8y=6

+2y-8y=6

-6y=6

y=-1

by substitute in (1)

7x+2*(-1)=19

7x-2=19

7x=19+2

7x=21

x=21/3

x=3

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