Lines m and n are parallel. Line m is described by y=4x+2. Line n contains the point (1, -3). Which of the following is an equation for line n?
Lines m and n are parallel Line m is described by the equation y
A Oy-3 = 4(x + 1)
B. Oy-3=(x+1)
c. Oy+3 = 4(x - 1)
D.Oy+3 = 4(x - 1)

Answers

Answer 1

The equation of line m, in point-slope form is: y + 3 = 4(x - 1)

Recall:

The slopes of parallel lines are equal to each other.Slope-intercept form equation is: y = mx + b, where m is slope and b is y-intercept.Point-slope form equation is: [tex]y - y_1 = m(x - x_1)[/tex] where, [tex](x_1, y_1)[/tex] is a point and m is the slope.

Equation of line m is y = 4x + 2

Slope of line m is 4

Since line m and line n are parallel, both lines will have the same slope. Therefore, the slope of line n is 4.

To write the equation for line if it contains the point (1, -3), substitute [tex](x_1, y_1)[/tex] = (1, -3) and m = 4 into [tex]y - y_1 = m(x - x_1)[/tex]:

[tex]y - (-3) = 4(x - 1)\\\\\mathbf{y + 3 = 4(x - 1)}[/tex]

Therefore, the equation of line n, in point-slope form is: y + 3 = 4(x - 1)

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Related Questions

How much does the state spend in tax dollars altogether?
a. 20 million dollars
b. 12 million dollars
c. 24 million dollars
d. 48 million dollars

Answers

Answer:

24 mill

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

what is the following product 3 sqrt 4 times sqrt 3

Answers

Answer:

c on edge YW

Step-by-step explanation:

The value of ∛4 × √3 is 2.75 or  [tex]\sqrt[6]{432}[/tex].

What is multiplication?

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given;

Expression,

product 3 sqrt 4 times sqrt 3.

In numerator form:

As per the given expression,

∛4 × √3

Simplifying,

∛4 × √3

= [tex]4^{1/3}[/tex] x [tex]3^{1/2}[/tex]

= [tex]4^{2/6}[/tex] x [tex]3^{3/6}[/tex]

= [tex]\sqrt[6]{16 + 27}[/tex]

= [tex]\sqrt[6]{432}[/tex]

= 2.749

= 2.75

Therefore, the product is 2.75 or  [tex]\sqrt[6]{432}[/tex].

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HEELPPP PPPPLSSSS AHHH

Answers

Answer:

3

Step-by-step explanation:

18/6=3

A smoothie recipe calls for 4 cups of milk, 3 frozen bananas and 2 tablespoons of chocolate syrup. Write 3 different sentences that use ratio to describe the recipe

Answers

Answer:

cool good me hungry i am kinda hungry

Step-by-step explanation:

Kimi and Jordan are each working during the summer to earn money in addition to

their weekly allowance, and they are saving all of their money. Kimi earns $9 per hour

at her job, and her allowance is $8 each week. Jordan earns $7 per hour, and his

allowance is $16 each week.

Answers

Their earnings would be the same after 4 hours

Let the number of hours be x, and the weekly earning be y

So, the given parameters are:

Kimi

Earnings = $9 per hourWeekly allowance = $8

So, the equation for Kimi's weekly earning is:

[tex]y =9x + 8[/tex]

Jordan

Earnings = $7 per hourWeekly allowance = $16

So, the equation for Jordan's weekly earning is:

[tex]y = 7x + 16[/tex]

Equate both equations

[tex]7x + 16 = 9x + 8[/tex]

Collect like terms

[tex]9x - 7x = 16 - 8[/tex]

[tex]2x =8[/tex]

Divide both sides by 2

[tex]x =4[/tex]

Hence, their earnings would be the same after 4 hours

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The cost of a school banquet is $90 for the room rental and $14 per person attending. Write an expression to model the total cost of the banquet for p people. What is the cost for 70 people?

Answers

Answer:

Total Cost (p) = 90 + 14p

For 70 people = $1070

Step-by-step explanation:

Let p stand for the number of people attending the banquet

Fixed cost = $90

Variable cost = $14p

Total Cost (p) = 90 + 14p

=================

Cost for 70 people (p=70)

Total Cost = $90 + $14(70)

Total = $1070

i really need help... factor by the simplest form 46xy^5

Answers

The simplest form is 46xy
Since 46 can not be factor out, there is only one x which stay there, and is 5 so the two pairs of y will be canceled and one y left.

Omar just accepted a job at a new company where he will make an annual salary of $52000. Omar was told that for each year he stays with the company, he will be given a salary raise of $4000. How much would Omar make as a salary after 10 years working for the company? What would be his salary after
t
t years?

Answers

Answer:

1: $92000 2: 52000 + 4000t= current salary

Step-by-step explanation:

1: simple arithmetic, 52000 + 4000(10)=92000

2: equation is formed as InitialSalary + 4000*(years at company) = New Salary

or with other variables, 52000+4000*t=N

Which inequality is true when x = 4?

Answers

Answer:

x + 5 < 3

Step-by-step explanation:

One inequality could be x > 3. So when x = 4 this is true because 4 is greater than 3.

What is the coefficient of the term x°ys in the
expansion of the binomial expression
(2x - y)8?

Answers

Answer:

if it is (2x-y)8

then it is 16x - 8y

[tex]x^0[/tex]y = 1.y = y

so the co efficient of y is -8

Step-by-step explanation:

00
3 A total of 30 shirts were recently sold at Friday night's football game. Each adult shirt cost
$11.50 and each youth shirt cost $9.45. The total revenue was $324.50.
of two equations that can be used to solve for the number of A (adult) shirts

Answers

Answer:

number of adult shirts sold (a) = 20

number of youth shirts sold (b) = 10

Step-by-step explanation:

a = number of adult shirts sold

y = number of youth shirts sold

30 = a + y

$324.50 = 11.50a + 9.45y

This is the resulting system of equations from the given information in the problem.

Solve for y in the first equation and then substitute the equation for y into the second equation :

a+y=30 --> y=30-a

324.50 = 11.50a + 9.45(30-a)

Solve for a.

324.50 = 11.50a + 283.5 - 9.45a

41 = 2.05a

a = 20

Now that we have solved for a, we can back substitute into our equation for y and solve.

y=30-(20)

y = 10

CHECK:

(20)+(10) = 30 True

(11.50)(20) + (9.45)(10) = 324.5  True

I WILL MARK BRAINLIST PLS!!! + explain

Sarah is going to the food truck with her friends. Hot dogs cost $2 and drinks cost $3. She has a total of $24 that she can spend. The equation 2x+3y=24 represents this scenario.


What does y represent in this scenario?


Question 5 options:


the cost of a hotdog



number of drinks purchased



number of hot dogs purchased



the cost of a drink

Answers

Answer:

the number of drinks purchased

Step-by-step explanation:

Answer:

2, the number of drinks purchased.

Step-by-step explanation:

one drink costs $3, and since Sarah is going to the food truck with her friends, she needs to buy more than one drink. So, it would be 3 · y, y being the number of drinks she needs to buy.

What is the value of 24 + 32 - 52

Answers

The answer to you question is 4

select all values equal to -4/5

Answers

Answer:

C and E

Step-by-step explanation:

the position of the minus either up or down affects both the numerator and denominator.

but if both number have minus the minus cancels each other

Answer:

B, C, E

Step-by-step explanation:

A is -/- and therefore +

B is - -/- = -+ = -

C is -/+ = -

D is - -/+ = -- = +

E is +/- = -

What are the coordinates of the image Triangle ABC reflection over the line y=x ( please help!!)

Answers

Answer:

A (2,-1)

B (-3,-2)

C (-2,1)

Step-by-step explanation:

A (-2,-1), B (3, - 2), and C (2,1)

Image of triangle ABC reflexión over the y: opposite of the x-coordinates. The y coordinates stay the same.

A’ (2,-1), B’ (-3, -2), and C’ (-2,1)

Solve for x
−4x+60<72 OR 14x+11<-31

Answers

Answer for 1 - = x> -3
Answer for 2 I did 14x+11-31 not sure it what u meant but answer is = 14x-20,

Answer:

  x ≠ -3

Step-by-step explanation:

Adding 4x-72 to the first inequality gives ...

  -12 < 4x

  -3 < x . . . . . divide by 4

Adding -11 to the second inequality gives ...

  14x < -42

  x < -3 . . . . divide by 14

Now we have ...

  x < -3 or x > -3

The solution is x ≠ -3.

_____

The graph of the solution set is the entire number line with a "hole" at -3. The number -3 is the only value not part of the solution set.

Evaluate the following expression if c = 8 and d = -5



3 * (c+d

Answers

Hi,

if c = 8 and d = -5:

3*(c + d) <=> 3*(8 + (-5))

= 3*(8 - 5)

= 3*3

= 9

✅^_^

emliy is thinking of a number which she calls n she find 1/4 of the number and then subtracts 3. write an expressions that represents emlily number.

Answers

Answer:

1/4 n - 3.

Hope this helps, sorry if it doesn't.

Find all x-intercepts of the function. Express your answer as a list of x-values.f(x)=4x^4-64

Answers

Answer:

[tex]x=\pm2[/tex]

Step-by-step explanation:

[tex]f(x)=4x^4-64[/tex]

[tex]0=4x^4-64[/tex]

[tex]0=x^4-16[/tex]

[tex]16=x^4[/tex]

[tex]\pm2=x[/tex]

antonio baked 150 muffins 46% are blueberry how many blueberry muffins did he bake

Answers

Answer:

69

Step-by-step explanation:

150*(0.46) = 69 blueberry muffins


I need help completing this question.

Answers

Answer:

9.73556* 10^34

Step-by-step explanation:

A day and a half is 36 hours  ( 1 day is 24 hours)

1.5 days is 24 * 1.5 = 36 hours

P(t) = 300  ( 2) ^ 3t

t = 36

p(36) = 300 * 2^ (3*36)

         = 300  * 2^108

         =9.73556* 10^34

Please help! I’m so confused.

Answers

The answer would be 12.5 :)

Answer: M = 12.50

Step-by-step explanation:

write an equation in slope intercept form for the line that passes through the point, and is perpendicular to the line y=-1/3x+9;(-6,-2)

Answers

Answer:

Step-by-step explanation:

y=-1/3x+9

This is written in the format y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0).

Perpendicular lines have a slope that is the negative inverse of the slope of the reference line, in this case -(1/3).  The new slope is 3.  equation is:

y = 3x + b

To find b, enter the given point, (-6,-2) and solve for b:

y = 3x + b

-2 = 3(-6) + b

-2 = -18 + b

b = 16

The full equation is y=3x + 18

Pat is saving money to buy a bicycle. The amount he has saved is shown in the table below.





Which of the functions below describe the amount A , in dollars, Pat has saved after t weeks?

Select all that apply.


A(t)=15+15(t−1)

A(t)=30+15(t−1)

A(t)=15+15t

A(t)=15+30t

A(t)=15t

Answers

Answer:

I think A and C

Step-by-step explanation:

Will give brainly,5 stars,and thank if it CORRECTLY PLEASE

Answers

Answer:

31.68

Step-by-step explanation:

1.4×9.15= 12.81

0.8×10.75= 8.6

2.6×3.95= 10.27

10.27+ 8.6+ 12.81= $31.68

Hope this helps!

Plz mark brainliest

Answer:

$31.68

Step-by-step explanation:

Multiply each by the correct number

almond= 1.4*9.15= 12.81

cashews= 10.75* 0.8= 8.6

Peanuts= 3.95 * 2.6= 10.27

Add them all up

12.81+8.6+10.27

you’ll get 31.68

An air-conditioning and heating company has a fixed monthly cost of 4,000. Furthermore, each service call costs the company 25 .

Answers

all you need to do is 4000÷25=160

The linear equation in slope-intercept form is: y = 25x + 4000.

The linear equation in slope-intercept form to compute the total cost, y, for 1 month if x service calls are made can be written as:

y = mx + b

m represents the slope of the line, which represents the cost per service call.

Since each service call costs the company $25, the slope (m) is 25.

b represents the y-intercept, which represents the fixed monthly cost. In this case, the fixed monthly cost is $4000.

Therefore, the linear equation in slope-intercept form is: y = 25x + 4000

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Plz solve the problem.

Answers

Answer:
If this is what your looking for, the answer may be:
x=7
Hope this helps!

Answer:

x = 7

Step-by-step explanation:

Fred makes $750 a week working 5 days .How much does he make in one day

Answers

Answer:

$150

Step-by-step explanation:

750/5 = 150


Please help!! I need this ASAP

Answers

Answer:

a= 2.5 times 42

Step-by-step explanation:

i had this class last year

What is the solution to -2(8x – 4) < 2x + 5?
o xs
oxca
O x>6
O x<6

Answers

[tex]-2(8x-4)<2x+5\\\\\implies -16x+8<2x+5\\\\\implies -16x+8-5<2x\\\\\implies 3<2x+16x\\\\\implies 3<18x\\\\\implies \dfrac3{18} <x\\\\\implies \dfrac 16 <x\\\\\implies x> \dfrac 16[/tex]

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