Write an equation of the line passing through point P(4,3) that is parallel to the line y = 12(x+4).

Answers

Answer 1

Answer:

y=12x-45

Step-by-step explanation:

First we want to get y=12(x+4) into Slope intercept form which is y=mx+b and we do that by multiplying 12 by x so we get 12x and multiplying 12 by 4 so we get 48.

Now we have:

y=12x+48

where the slope is 12.

Parallel lines have the same slope. so the line that goes through (4,3) will have the same slope.

Now that we have a slope and a point we want to write an equation in point-slope form: y-y1=m(x-x1)

Step 1 for this: y-3=12(x-4)

Step 2: we will distribute and solve for y so our answer is in slope intercept form.  

Step 3: we now have the equation y-3=12x-48 after distributing now we add 3 to -3 so it cancels out and we add 3 to -48 and we get -45

Our answer is y=12x-45

Hope this helps!


Related Questions

Suman monthly income rs 25000 he spend 1/5 of his income for house rent and 3/5 of his income an.other exp enditure how much did he save every month

Answers

Answer:

₹ 5000

Step-by-step explanation:

Income= ₹ 25000

House rent = 1/5 of 25000

                  = [tex]\frac{1}{5}*25000[/tex]

                 = ₹ 5000

Other expenditure = 3/5 of 25000

                              = [tex]\frac{3}{5}*25000[/tex]

                              = 3 * 5000

                              = ₹ 15000

Savings = 25000 - ( 5000 + 15000)

              = 25000 - 20000

              = ₹ 5000

Answer:

I will return to this question in 3 minutes....please wait.

It is the middle of the night and yeah

Step-by-step explanation:

thougth ri4rng4g 3i45uto34jkmt

Coach Right is looking at his students' running times in order to place students into running groups. He is working on forming a group that matches Jim's pace of 4 miles in 38 minutes. Which of these student times would fit into a group that runs at the exact same rate as Jim?

Answers

Complete question :

Coach Right is looking at his students' running times in order to place students into running groups. He is working on forming a group that matches Jim's pace of 4 miles in 38 minutes. Which of these student times would fit into a group that runs at the exact same rate as Jim? Prax ran 6 miles in 57 minutes. Jose ran 5 miles in 45.5 minutes. Sandy ran 7 miles in 66.5 minutes. Zynep ran 3 miles in 27 minutes

Answer:

Prax and sandy

Step-by-step explanation:

Given that:

Jim's pace = 4 miles in 38 minutes

Jim's rate = Distance covered / time.

Rate = 4 / 38 = 0.1052631 miles /min

Prax ran 6 miles in 57 minutes:

Prax rate : 6miles / 57 mins = 0.1052631

Jose ran 5 miles in 45.5 minutes:

Jose's rate = 5 miles / 45.5 = 0.1098901 miles /

minute

Sandy ran 7 miles in 66.5 minutes:

Sandy's rate = 7 / 66.5 = 0.1052631 miles / minutes

Zynep ran 3 miles in 27 minutes:

Zynep's rate : 3 / 27 = 0.1111111 miles / minutes

Plz help me I’ll give brainliest!!

Answers

Answer:

k = 1

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (4, 1 )

with k = 1

Question 26 (1 point)
Find the distance between points P(7.1) and Q(5,7) to the nearest tenth.
PQ =

Answers

Answer:

The answer is 6.3 units

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

P(7,,1) and Q(5,7)

We have

[tex] |PQ| = \sqrt{ ({7 - 5})^{2} + ({1 - 7})^{2} } \\ = \sqrt{ {2}^{2} + ({ - 6})^{2} } \\ = \sqrt{4 + 36 } \: \: \: \: \: \: \: \: \: \\ = \sqrt{40} \: \: \\ = 2 \sqrt{10} \\ = 6.32455532...[/tex]

We have the final answer as

6.3 units to the nearest tenth

Hope this helps you

Answer:

PQ=1.4 I think

Step-by-step explanation:

The cost of a speeding ticket is a function of each mile per hour that exceeds the speed limit multiplied by a fixed rate of $2 plus a $40 processing fee.Write the function that represents this relationship.Then determine the cost of a speedingticket for a car that has gone 50 mph in a 35 mph zone

Answers

The cost of the speeding ticket for a car that has gone 50 mph in a 35 mph zone is $70.

Describe Function?

In mathematics, a function is a relationship between two sets of numbers, known as the domain and the range, that assigns each element of the domain a unique element in the range. A function can be thought of as a machine that takes input from the domain and produces output in the range.

More formally, a function f from a set X to a set Y is denoted as f: X → Y

For example, the function f(x) = 2x assigns to each real number x a unique real number 2x. When x = 1, f(1) = 2; when x = -3, f(-3) = -6.

Functions can be represented in a variety of ways, including algebraic expressions, tables of values, and graphs. The graph of a function is a visual representation of the relationship between the input and output values, and can be used to analyze the behavior of the function.

Functions are important in many areas of mathematics, science, and engineering, and are used to model relationships between quantities, solve problems, and make predictions. They are also used in computer programming, where they are used to encapsulate behavior and modularize code.

The function that represents the relationship between the speed of a car and the cost of a speeding ticket can be expressed as:

C(x) = 2(x - L) + 40

where:

C(x) is the cost of the speeding ticket for a car traveling at speed x (in mph).

L is the speed limit (in mph).

(x - L) represents the number of miles per hour over the speed limit that the car was traveling.

The fixed rate is $2 per mile per hour over the limit, and there is a $40 processing fee added to every ticket.

To determine the cost of a speeding ticket for a car that has gone 50 mph in a 35 mph zone, we substitute the values for x and L into the formula above:

C(50) = 2(50 - 35) + 40

C(50) = 2(15) + 40

C(50) = 30 + 40

C(50) = $70

Therefore, the cost of the speeding ticket for a car that has gone 50 mph in a 35 mph zone is $70.

To know more about number visit:

https://brainly.com/question/29766862

#SPJ1


If a system of linear equations has the unique solution (2, -3), then its graph consists of what?
•parallel lines
•lines that intersect at a single point
•identical lines
•a y-intercept at -3

Answers

a y-intercept at -3. second number in coordinates are y

Answer: B - lines that intersect at a single point

Step-by-step explanation: Just took a test


Select the correct answer.
Which of these graphs represents a function?



Answers

Question:

Select the correct answer.

Which of these graphs represents a function?

Answer:

B. X

Explanation:

D. Z is not the answer

g(t) = -4t + 2; Find g(6)

Answers

Answer:

g(6)=-22

Step-by-step explanation:

g(6)=-4(6)+2

g(6)=-24+2

g(6)=-22

If MO=16x, MN=14x+20, then what is the length of NM​

Answers

Answer:

The length of NM would be -26 2/3.

Find the value of w in the pentagon below if the perimeter is 105 meters.
(3 + 2w) m
(3 + 2w) m
(3 + 2w) m
(3 + 2w) m
(3 + 2w) m

Answers

Answer: 9 (with a margin of: 0)

Step-by-step explanation:

Times everything by 5

That gives you 15 + 10w = 105.

Subtract 15 from both sides

Divide by 10 to get w by itself

Then you solve

-f+2+4f=8-3f what is the answer

Answers

Answer:

Answe 6 yeah i know 6

because you due

Answer:

1

Step-by-step explanation:

move like terms to each side

-f+4f+3f=8-2

simplify

6f=6

divide by 6 each side

f=1

What does the x intercept represent?

Answers

it is the point at which the graph crosses the x-axis; (x,0)

Answer:

the x intercept is the y and x combined together crossing each other

Your free ride to work ends in 14 days. So, maybe you need a car? How much can you afford to spend? Below is what's available at a dealership near you. Which car should you buy? Before you decide, think about this: You do not have enough money in your account to buy a car. You'll have to finance your purchase. You'll have to put down 25% of the vehicle's selling price as a down payment.

Answers

Step-by-step explanation:

Kindly find attached a screenshot of the price list of some cars from motor 1 .com since you did not provide any in the question, and let us assume it is the same as what is available at a dealership near you.

From the list, since you don't have enough money in your account to buy a car, I will say you should get a 2017 Nissan Versa for $11,990

and 25% of  $11,990 is

(25/100)* 11,990

0.25* 11,990

$2997.5

So you can make a down payment of $2997.5

and pay the remainder of $8992.5 later

answer first for brainliest

Answers

Answer:

ok

Step-by-step explanation:

3 + 15 + 3
- 4 2
I need help figuring this out

Answers

Answer:

3+15+3-42

=18+3-42

=21-42

=-21

Find the value of x.

Answers

Answer:

x = 65

Step-by-step explanation:

2x - 14 + 64 = 180

2x + 50 = 180

2x = 130

x = 65

Answer:

x=65

Step-by-step explanation:

64+2x-14 = 180

please help please solveit​

Answers

Not 100% sure but I think it’s d

HELP I DONT HAVE MUCH TIME

Answers

Answer:

10 miles, 6 inches

Step-by-step explanation:

2.5 x 10

15/2.5

Please help ASAP
Drag and drop the numbers into the correct locations​

Answers

Answer:

first box: -1

second box: √-1

Step-by-step explanation:

the imaginary number equals √-1 and when you square it, the roots would go away, leaving you with -1.

The teacher plans to organize them in such a way that each row has students with the same shirt color and all rows have the same number of students. Find the largest number of students in each row. There are 81 students in green shirts, 54 students in white shirts, and 27 in orange shirts. The

Answers

Answer:

27

Step-by-step explanation:

Given that:

Green shirt = 81 students

White shirt = 54 students

Orange shirt = 27 students

The largest number of student in each row : we need to obtain the greatest common factor for the three numbers.

Factors of :

81 : 1, 3, 9, 27, 81

54 : 1, 2, 3, 6, 9, 18, 27, 54

27: 1, 3, 9, 27

The greatest factor which is common in all three numbers is 27, hence, the largest number of student in each row should be 27

I need help answer this Question!
-6+3(-4-2x)>=-16-6x

Answers

There is no solution for that problem....

Match the properties with the steps to solving the following equation. 1/2(8x-6) = x+9

Answers

Answer:

Step-by-step explanation:

Given equation is,

[tex]\frac{1}{2}(8x-6)=x+9[/tex]

By distribution property,

4x - 3 = x + 9

By subtraction property of Equality,

4x - x - 3 = 9

3x - 3 = 9

By Addition property of equality,

3x = 3 + 9

3x = 12

By division property of equality,

[tex]\frac{3x}{3}=\frac{12}{3}[/tex]

x = 4

Leslie gained 5.54 pounds between her third and fourth birthdays. If she weighed 42.48 pounds when on her fourth birthday, how much did she weigh in pounds on her third birthday? Does this mean to add or subtract? Pick the correct operation and solve ONLY that one.

Answers

Answer:

We Subtract

Her weight on her third birthday = 36.94 pounds

Step-by-step explanation:

Does this mean to add or subtract? This means we add. The operation we are using is SUBTRACTION

Leslie GAINED 5.54 pounds between her third and fourth birthdays.

This means she added weight

She weighed 42.48 pounds on her Fourth birthday

Hence, Her weight in her third birthday is:

Third birthday + 5.54 pounds = 42.48

$42.48

Third birthday = 42.48 - 5.54

= 36.94 pounds

Her weight on her third birthday = 36.94 pounds.

6771 divided by 44
Quotient:
Remainder:

Answers

Answer:

quotient: 152 remainder: 23

Step-by-step explanation: hope that helps :)

can i get brainliest pls?

PLS HELP WITH THIS QUESTION

Answers

C would be the answer to this problem!

Answer:

I think C

Step-by-step explanation:

-4x+3=-2 y=x-1 solve for x and y

Answers

Answer:

x=1 1/4 (1.25), y=1/4

Step-by-step explanation:

Since the equation "y=x-1" seems simple enough, we're going to plug that in for our other equation, "-4x+3=-2".

1. Rearrange y=x-1 to fit our other equation, -4x+3=-2.

y=x-1 (add 1 to both sides)

y+1=x x=y+1

2. Plug our newly rearranged equation into -4x+3=-2.

-4(y+1)+3=-2

-4y-4+3=-2 (distributive property)

3. Add/subtract like terms.

-4y-1=-2

4. Get y to be by itself.

-4y=-1 (add 1 to both sides)

y=1/4

1. Now for y=x-1. Plug 1/4 into y.

1/4=x-1

1 1/4=x

Look at the angle shown below.
V.
Estimate the measure of the angle.

Answers

how is anyone supposed to answer this question when you don’t shown the angle

The points F, G, H and I all lie on the same line segment, in that order, such that the
ratio of FG : GH: HI is equal to 3 : 2: 4. If FI = 18, find FH.

Answers

Answer:

10

   

Step-by-step explanation:

    Given line:

              F       G       H        I

         

 FI  = 18

Unknown:

FH = ?

Solution:

To find the line FH, we use the ratio given;

               FG : GH: HI

               3    :   2  : 4 ; Total  = 3 + 2 + 4 = 9

  Since FI is 18;

FH  = [tex]\frac{3 + 2}{9}[/tex]  x 18 = [tex]\frac{5}{9} x 18[/tex]  = 10

FH  = 10

   

Can you please find the missing side these are similar figures.

Answers

Answer:

1.108

2.4

3.6

4.28

5.80

6. 10.5

hope this will help you

8800000 in scientific notation

Answers

Answer:

8.8 x 10 to the power of 6

Step-by-step explanation:

Other Questions
By using focus group feedback, Kraft was able to develop a positioning strategy. Focus groups are what type of research? Use the Distributive Property to simplify the expression.1/2(2n+4+6m) Which of the following is both a perfect square and a perfect cube?6416811,000I know the answer is 64, but how? Can someone please explain me to me how to work this out? pleasseeee help........... Demarco and Janine Jackson have been married for 20 years and have four children who qualify as their dependents (Damarcus, Janine, Michael, and Candice). The couple received salary income of $100,000 and qualified business income of $10,000 from an investment in a partnership, and they sold their home this year. They initially purchased the home three years ago for $200,000 and they sold it for $250,000. The gain on the sale qualified for the exclusion from the sale of a principal residence. The Jacksons incurred $16,500 of itemized deductions, and they had $3,550 withheld from their paychecks for federal taxes. They are also allowed to claim a child tax credit for each of their children. However, because Candice is 18 years of age, the Jacksons may only claim the child tax credit for other qualifying dependents for Candice. (Use the tax rate schedules.)Comprehensive Problem 4-55 Parts-c through fa. What would their taxable income be if their itemized deductions totaled $28,000 instead of $16,500?b. What would their taxable income be if they had $0 itemized deductions and $6,000 of for AGI deductions?c. Assume the original facts but now suppose the Jacksons also incurred a loss of $5,000 on the sale of some of their investment assets. What effect does the $5,000 loss have on their taxable income? Solve for the value of x that makes likes r and s parallel. A dog has a mass of 60kg and an acceleration of 2m/s/s. What is the force of the dog? a number multiplied by 5 and increased by 7 the result is 62 Solve for n.n+ 1 = 4(n-8)0 n = 1O n = 80 n = 11n = 16? The altitude of a helicopter increase is 1000 feet every four minutes. What is the unit rate of change (feet per minute) of the altitude? How did Winston Churchill die? Which organelle makes lipids? Name the slope and y-intercept of the graph of each question y = 3x + 85x+y=17 PLEASE SOMEONE EXPLAIN TO ME HOW TO DO IT . WILL MAKE BRAINIEST AND 30 points explain the rules of zaroff's game. Dolly earns $6.40 per hour. She worked 28.25 hours last week. How much did Dolly earn last week? A single strand of DNA contains: Nishi invests $3000 at 5% interest per year. Work out how much she will have altogether after: A dihybrid cross experiment is carried out in pea plants. The traits being observed are flower color and stem length. In the F2 generation, 81 plants have purple flowers and long stems, 27 plants have purple flowers and short stems, 27 plants have white flowers and long stems, and 3 plants have white flowers and short stems.Which traits are recessive?A.purple flowers, long stemB.purple flowers, short stemC.white flowers, short stemD.white flowers, long stem How much of the world's population is in Asia?O 1/5O 2/5O 3/5O 4/5 Within a major students can choose to study a specific area within major. For example a journalism student may study military journalism or business journalism the specific area is called