What is an equation of the line that passes through the point
(−1,−3) and is parallel to the line 4x-y=2?

Answers

Answer 1

Answer:  y = 4x + 11

Step-by-step explanation:First, you put the equation into the standard “slope/intercept” form.

4x -y = 2 subtract 4x from both sides ; -y = -4x + 2 Multiply by -1 :

y = 4x - 2

In this standard form we see that the slope of the line (coefficient of x) is 4. ANY line parallel to this one must thus also have a slope of 4.

y = 4x - a (generic)

ANY other combination of slope multiples and constant terms will therefore also be lines parallel to this one. The one that passes through a specific point will simply have a different constant term.

We find this by putting our point value into the equation:

3 = 4(-2) + a ; 3 = -8 + a ; a = 11

Thus, our “parallel line equation” through the point (-2,3) is:

y = 4x + 11


Related Questions

Solve the equation.
q − 11 = 16

Answers

Answer:

q = 27

Step-by-step explanation:

Answer: 27

Step-by-step explanation: 16+11=27

A biologist is growing a population of bacteria for a study. The number of millions of bacteria in the population is modeled by a function, f(x), where x is the number of days since yesterday. The table shows values of f(x) for different values of x.
x f(x)
−2 3.25
−1 3.5
0 4
2 7
4 19

The function f(x) can be represented by the equation f(x)=ax+b. Enter the value for a and b in the equation f(x)=ax+b.

Answers

Answer:

y = 2x

Step-by-step explanation:

Complete a table of values for –2 < x < 2. Connect the points on the graph with a smooth curve.

Find the area A of the sector of a circle of radius 50 feet formed by the central angle
5
radian.

Answers

Answer:

[tex]A=6250\ feet^2[/tex]

Step-by-step explanation:

Given that,

The radius of circle, r = 50 feet

The central angle, [tex]\theta=5\ radian[/tex]

We need to find the area of the sector of a circle. The formula for the area of sector is given by :

[tex]A=\dfrac{1}{2}r^2\theta\\\\=\dfrac{1}{2}\times 50^2\times 5\\\\A=6250\ feet^2[/tex]

So, the area f the sector of the circle is [tex]6250\ feet^2[/tex].

a spinner with four equal-size sections marked M, A, T, and H is spun 100 times. The results are shown below.

What is the theoretical probability of landing on T?

What is the experimental probability of landing on a consonant?

Compare the theoretical probability to the experimental probability of landing on H.

Answers

Answer:

there's four of them so it's a movie 25 / 100 would be the probability of landing on them

The experimental probability of landing on a consonant is more than the theoretical probability of landing on T because P(T) = 1/4 is less than P(Consonant) = 79 / 100.

What is probability?

The probability is given as,

P = (Favorable event) / (Total event)

A spinner with four equal-size sections marked M, A, T, and H is spun 100 times. The results are shown below.

Section       Frequency

   M                    28

   A                     21

   T                     26

   H                    25

The theoretical probability of landing on T will be given as,

P(T) = 1/4

P(T) = 25/100

The experimental probability of landing on a consonant is given as,

P(Consonant) = 79 / 100

The experimental probability of landing on a consonant is more than the theoretical probability of landing on T.

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ2

Find the measure of 43.
43
77
<3 = [?]
Enter

Answers

Answer:

<3 = 77⁰

Step-by-step explanation:

Since 77⁰ and <3 are interior angles, angles inside the parallel line are in the same. This means that <3 will be 77⁰.

Hope this helps and stay safe, happy, and healthy, thank you :) !!

?=103°

Answer:

<3+77=180 co interior angle

<7=180-77=103°

Aldos coffee shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Aldo $4.15 per pound, and type of B coffee costs $5.25 per pound. This month, Aldo made 119 pounds of the blend, for a total cost of $548.85. How many pounds of type B coffee did he use?

Answers

Let A represent amount of Type A coffee pounds used.  

Let B represent amount of Type B coffee pounds used

A + B = 156  

B = 156 - A  

A = 156 - B

5.80A + 4.65B = 826.60  

580 (156 - B) + 4.65B - 826.60 = 0  

904.8 - 5.80B + 4.65B - 826.60 = 0

904.8 - 1.15B - 826.60 = 0  

78.2 - 1.15B = 0  

78.2/1.15 = 1.15B/1.15

68 = B

B = 68 pounds of Type B coffee

There's many more steps you can take to check and etc but am too lazy to put down sorry.

Which pair of triangles can be proven congruent by SAS?

Answers

Answer:

top choice

Step-by-step explanation:

For SAS, you need a side followed by an angle followed by another side of one triangle to be congruent to the corresponding parts of another triangle.

The top choice shows side-angle-side.

The middle choice shows angle-side-angle.

The bottom choice shows side-side-side.

Answer: top choice

The one that is proven by SAS is the top choice.

in January 2010, Diana invested $4,500 in an account that paid interest compounded annually. the table showstopper balance of the account at different times. what was Diana's balance, in dollars and cents, in January 2014. the numbers on the table are, For the month Jan. 2011-$4,635.00
Jan. 2012-$4,774.05
Jan. 2013-$4,917.27​

Answers

Answer:

500,000

Step-by-step explanation:

80-1

Type your answer in the box.

r = 3 d = 5

Answers

Answer:  8.5

Step-by-step explanation:

I just took the quiz last week.

Determine the length of the diagonals of the isosceles trapezoid below when KL= h+7 and UE= 4h-25

Answers

Answer:

KL= 17.67 unit

UE = 17.67 unit

Step-by-step explanation:

Given:

Diagonals

KL= h+7

UE = 4h-25

Find:

Length of diagonals KL and UE

Computation:

We know that in isosceles trapezoid the length of diagonals are equal

So,

KL = UE

h+7 = 4h-25

3h = 32

h = 10.67

So,

KL= h+7

KL= 10.67+7

KL= 17.67 unit

UE = 4h-25

UE = 4(10.67)-25

UE = 17.67 unit

What transformation rule would represent a shift of 3 units to the left 4 units down?
Group of answer choices

(x,y) –> (x – 4, y – 3)

(x,y) –> (x – 3, y – 4)

(x,y) –> (4x, 3y)

(x,y) –> (x + 3, y + 4)

Answers

Given:

Shift of 3 units to the left 4 units down.

To find:

The transformation rule.

Solution:

The rule of transformation is

[tex](x,y)\to (x+a,y+b)[/tex]          ...(i)

Here, a<0 if the figure shifts a units left and a>0 if the figure shifts a units right.

Similarly, b<0 if the figure shifts b units down and b>0 if the figure shifts b units up.

If a transformation represents shift of 3 units to the left 4 units down, then a=-3 and b=-4.

Putting a=-3 and b=-4 (i), we get

[tex](x,y)\to (x+(-3),y+(-4))[/tex]

[tex](x,y)\to (x-3,y-4)[/tex]

Therefore, the correct option is B.

find the median for 24 27 17 19 23 39 20 29 33 33​

Answers

Answer:

25.5

Step-by-step explanation:

Median calulater

Plzzz helpppp!!! (Plz include steps in answer so Ik how to do it!) Given vectors u = (4,4) and v = (-1,2), find the sum u + V and write
the result in component form.

Answers

u= 4i+4j
v= -i+2j
Lets add them
u+v= 4i+4j-i-2j
u+v= 3i+2j

ill mark brainlist plss help

Answers

Answer:

The light because it uses it with water and carbon dioxide to do photosythesis and use gluose for energy

Step-by-step explanation:

HELP PLEASE PLEASE I WILL GIVE BRAINLIEST

Answers

In the top the "f(x)" equals 9, now they are asking you to add onto the 9 by 1 causing it to be 10. If you did the first few you would have noticed that it takes 9 in order to get to 5 from -4.

here are the answers btw:

Can someone help me it’s due tomorrowwwww

Answers

Number one is straight angle

number two is obtuse

number three is acute

Number 4 is acute

number 5 is a right angle

number 6 is obtuse

number 7 is right angle

number 8 is obtuse

5th grade math. correct answer will be marked brainliest.

Answers

Hopes this helps:

Answer:

12 1/3

Answer:

7 1/3

Step-by-step explanation:

The answer is in the simplest form already.

Rewrite the equation:

2 + 1/2 - 9 - 5/6

2 - 9 = -7 (negative 7)

1/2 minus 5/6 = ?

Find LCD of 1/2 and 5/6 and rewrite to solve.

3/6 is the LCD, so:

3/6 - 5/6 = -2/6

-2/6 = -1/3

So, the answer is:

-7 -1/3 = 7 1/3

Mark brainliest please!

:DDDD

Which of the following are dependent events? Select all that apply.

You draw a marble from a bag, replace it, and draw again.
You flip a coin and roll a number cube.
You draw two numbers from 1 to 10 from a hat without replacing them first.
You randomly choose two socks from a drawer, hoping they will match.

Answers

Answer: all

Step-by-step explanation:

Answer: You randomly choose two socks from a drawer, hoping they will match.

You draw two numbers from 1 to 10 from a hat without replacing them first.

Step-by-step explanation:

dependent events: compound events in which one event affects the likelihood of the other event

independent events:compound events in which one event does not affect the likelihood of the other event

Can somebody help please #asap help w number 8

Answers

Answer:

y=4x bc each one is 4 so for one box it cost $4

Answer:

The expression will be y = 4x.

Step-by-step explanation:

First, we have to form expressions for number of boxes and total amount she earn :

Let x be the number of boxes,

Let y be the total amount,

Given that the costs of each box is $4 so in order to find the total amount, you have to multiply the number of boxes by 4 :

y = 4x

i need help with everything please if you help you are a legend

Answers

Answer:

you got this

Step-by-step explanation:

go with your gut and you sure can win

Answer:

I can help.

Step-by-step explanation:

3a is closer to 1, because 12/12 is 1. and 6/12 is 1/2

3b is closer to 0, because 0/6 is o. and 3/6 is 1/2.

3c is 1 and 1 1/12

11/12 + 1/6

find the common denominator. 12. 6×2 and 1×2 then add straight across.

Solve for x................

Answers

Answer:

x = 17

Step-by-step explanation:

Use the interior angle sum theorem which says:

if n is the number of sides the sum of the interior angles is 180(n-2)

there are 6 sides, so the interior angle sum is 180(6 - 2) = 180 * 4 = 720.

This means that if you add all the angles you will get 720, so:

[tex]110 + 8x - 1+5x+36+116+7x+19+6x-2=720[/tex]

[tex]26x+278=720\\26x = 442\\x = 17[/tex]

3/2 inches snow fell in 3/4 of an hour which two statements are true

Answers

Answer:

I don't see the two statements

Step-by-step explanation:

Answer:

A and E Usa test prep

Step-by-step explanation:

I know it might be late by now but this is for the people who are searching for the answer for the future

a number added to one third of itself equals 12 . what is the number​

Answers

Answer:

9

Step-by-step explanation:

x+1/3x=12

(3x+1x)/3=12

4x/3=12

4x=12×3

4x=36

x=36/4

x=9

Answer:

1/3+x=12(cross multiply)

x+1=12*3

x+1=36(collect like terms)

x=36-1

x=35

Ben and his housemates signed a lease for an apartment for 12 months for $563 per month of which Ben agreed to pay $215 per month. Which of the following statements best gives the reasons that Ben’s rent payment is an essential (fixed) expense?

Answers

Answer:

It is by contract the same amount every month.

Step-by-step explanation:

help asap i will get yelled at =( this is going to give yoyu 42 points

Answers

Answer:

24+24=48

Step-by-step

24+24=48

Answer: first pic: true. second pic: is D. third pic: false. forth pic: C.

Step-by-step explanation:

The zoo has 4 tigers and plans to adopt more tigers soon. Gabby meets with Chloe, the manager of the tiger exhibit, to discuss the tigers’ habitat. They want to make sure there is enough space for the new tigers.

The Natureland Zoo has these requirements for a tiger habitat:

The trees, feeding station, and drinking station need at least 300 square feet all together.
Each tiger needs at least 225 square feet of space.

How many square feet of space is the zoo required to have for 4 tigers? Show your work.

Answers

Answer:

multiple 4×225 because there are 4 tigers and one Tiger needs 225 square feet so mutiple 4×225 and you got 900 so the answer will be 900 square feet

Maya bought T-shirts for $24. Each T-shirt cost $4. How many T-shirts did
she buy

Answers

Answer:

6

Step-by-step explanation:

24/4 = 6

hope this helps

If she spent a total of $24 and each shirt cost $4. You divide 24 by 4 and get 6. Maya has 6 T-shirts

is there estimates that her dinner has 48g of fat in it what percentage of her total daily allowance of fat does her meal contain her total daily allowance of fat is 70 grams ​

Answers

Answer: The meal contains 68.57% of her daily allowance of fat

Step-by-step explanation:

We know that in the dinner, there is a total of 48g of fat.

We also know that her daily dose of fat is 70g, so this will be "the 100%", then we can write:

70g = 100%

Under this point of view, we also can relate the 48g of the dinner to another percentage X%, such that:

48g = X%

Then we have two equations:

48g = X%

70g = 100%

To solve this, we can take the quotient of these two equations to get:

(48g/70g) = (X%/100%)

Now we want to solve this for X%, then we need to isolate X%:

(48g/70g)*100% = X%

68.57% = X%

This means that 48 grams of fat are 68.57% of her daily allowance.

Calcular en E
1231213123312312312123 123213213123

Answers

Answer:

9

Step-by-step explanation:

E = √ [ 5² + 2×( [tex]\frac{2}{3}[/tex] )² + ( [tex]\frac{1}{3}[/tex] )² + 7² + 6 ] = √(25 + [tex]\frac{8}{9}[/tex] + [tex]\frac{1}{9}[/tex] + 49 + 6) = √81 = 9

Laura had a toy robot collection. 4/7 of her 28 robots make noise. How many of Laura’s robots make noise? If you guys answer can you please do show you work.

Answers

Answer:

4/7 of 28 robots is 16.

Step-by-step explanation:

This is because 4/7 is equal to 16/28 when you simplify it. multiply 7 by four and you get 28 as your denominator and 16 as your numerator.

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