1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sloan [31]
3 years ago
9

Write an equation of the line passing through point p that is parallel to the given line.

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
8 0

Answer:

Step-by-step explanation:

y=-3x+13

y = mx + b, where m is the slope and b is the y-intercept.

A line parallel to this line will have the same slope, -3.  We can start by writing:

y = -3x + b

No matter what is chosen for the value of b, this line will be parallel.  We do want the line to go through point (6,10), however.  The way that can be done is to find a value of b that would shift the line to go through (6,10).

Find b by entering the point (6,10) into the equation, and then solve for b:

y = -3x + b

10 = -3(6) + b

10 = -18 + b

b = 28

The line becomes y = 3x + 28

See the attachment.

You might be interested in
Rooter Plus charges a $25 service fee plus $40 per hour of work done. Is this a proportional or non-proportional relationship?
Dominik [7]

Answer:

Non-proportional; the rate of change is $40/hour

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u>and the line passes through the origin</u>

Let

x -----> the number of hours

y ----> The total charge in dollars

The equation of the line in slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-intercept

we have

m=40\ \$/h\\b=\$25

substitute

y=40x+25

This relationship is not proportional, because the line not passes through the origin

therefore

Non-proportional; the rate of change is $40/hour

5 0
3 years ago
What is 5 units from -6?
Sedaia [141]

Answer:

11

Step-by-step explanation:

-6 + ___ = 5 is your format.

3 0
3 years ago
Read 2 more answers
If 4x 6y 15 and 6x 8y 14 then value of 3x-2y is??
nasty-shy [4]
Are there any other symbols missing in this equation because right now it’s just the variables
6 0
3 years ago
1. 75,(9)09,931 rounded to the nearest hundred-thousand, 9 is the target, the one with the () on it. Aka the number place your r
Lina20 [59]

Answer:

75900000

Step-by-step explanation:

75,900,000 because it's less then 50

3 0
3 years ago
Diego correctly points out that 108 cubes with an edge length of 1/3
pogonyaev

Answer:

Option C) 4 cubic inches is the volume of the rectangular prism.

Step-by-step explanation:

It is given that, 108 cubes with an edge length of 1/3 inch are needed to fill a rectangular prism.

Therefore, the volume of the rectangular prism is equal to the volume of the 108 cubes needed to fill that rectangular prism.

So, we need to find out the volume of those 108 cubes in order to find the volume of the rectangular prism.

The formula for finding the volume of a cube is given by,

Volume of a cube = a³

where a represents the edge length

We know that, the edge length is 1/3 inch.

⇒ a = 1/3

Volume of a cube = (1/3)³

⇒ 1/3 × 1/3 × 1/3

⇒ 1/27 cubic inches

To find the volume of 108 cubes :

⇒ 108 × volume of one cube

⇒ 108 × 1/27

⇒ 4 cubic inches.

∴ The volume of 108 cubes is the volume of rectangular prism which is 4 cubic inches (option C)

5 0
3 years ago
Read 2 more answers
Other questions:
  • What is the value of y?
    7·1 answer
  • Warmup/Reflection- necessary for attendance
    5·1 answer
  • Hank has 48 feet is in an aquarium he has 11 times as many tears as guppies how many of each type of fish does he have
    8·1 answer
  • The weight of 10 identical samples of a substance is 0.1 pound, what is the weight of 100 samples
    9·2 answers
  • Sanjay has 2 1/3 cups of pretzels, Raul has 1 5/6 cups of chocolate pieces, and Sonny has 3 7/9 cups of granola. If they
    9·1 answer
  • a bag contains a number of colored gum balls: 2 green, 10 orange, 5 blue, 3 yellow. your friend candy randomly picks a gum ball,
    11·1 answer
  • A rectangular region is removed from another rectangular region to create the shaded region shown below. Find the area of the sh
    15·1 answer
  • Determine the end behavior of the function: f(x)= -3x*4
    7·1 answer
  • what is the slope of a line parallel to the line whose equation is y= -5/2x+7. fully simplify your answer
    15·1 answer
  • Solve the equation. (x + 4)^2 = 15 - 2x^2.<br><br> Quadratic Formula
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!