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
Wewaii [24]
2 years ago
11

Distance between parallel lines y=3x+10 and y=3x-20

Mathematics
1 answer:
Alecsey [184]2 years ago
4 0

1. Take an arbitrary point that lies on the first line y=3x+10. Let x=0, then y=10 and point has coordinates (0,10).


2. Use formula d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+B^2}} to find the distance from point (x_0,y_0) to the line Ax+By+C=0.


The second line has equation y=3x-20, that is 3x-y-20=0. By the previous formula the distance from the point (0,10) to the line 3x-y-20=0 is:

d=\dfrac{|3\cdot 0-10-20|}{\sqrt{3^2+(-1)^2}}=\dfrac{30}{\sqrt{10}}=3\sqrt{10}.


3. Since lines y=3x+10 and y=3x-20 are parallel, then the distance between these lines are the same as the distance from an arbitrary point from the first line to the second line.


Answer: d=3\sqrt{10}.

You might be interested in
Which would best display the following data if you wanted to display the numbers which are outliers as well as the mean? [4, 1,
Serhud [2]

Arranging data in ascending order to identify the outlier and calculate the mean

Step-by-step explanation:

Given the data as: [4, 1, 3, 10, 18, 12, 9, 4, 15, 16, 32]

Arrange in ascending order

                               [1, 3, 4, 4, 9, 10, 12, 15, 16, 18, 32 ]

The outlier is 32

Finding the mean;

Mean=sum of data set/number of data set

Sum= 1 + 3+ 4+ 4+ 9+ 10+ 12+ 15+ 16+ 18+ 32=124

Number of data set=11

Mean=124/11=11.27

Learn More

Outliers: brainly.com/question/12612191

Keywords: display,data, numbers,outliers,mean

#Learnwithbrainly

3 0
2 years ago
If (2,0) is a solution of the linear equation 2x+3y=k,then the value of k is​
Margarita [4]

Answer:

k = 4

Step-by-step explanation:

Plug in the values of 2 for x and 0 for y, and solve for k.

2x + 3y = k

2(2) + 3(0) = k

4 = k

k = 4

8 0
3 years ago
Read 2 more answers
Hows everyone's day? free 25 points btw ;D
LenKa [72]

my day is pretty okay how is your day

6 0
3 years ago
Read 2 more answers
Model subtraction of fraction:
cricket20 [7]
The entire race is 1 full race.
One full race is 1.
He ran 3/8 of 1, so he ran 3/8.
He needs to run the rest of the race.
The rest is unknown, so we call it x.
When you add 3/8 to the unknown, you get the full race.
The equation is

x + 3/8 = 1

Change 1 to a denominator of 8.

x + 3/8 = 8/8

Subtract 3/8 from both sides.

x = 5/8

Answer: He still needs to run 5/8 of the race.
5 0
3 years ago
Write a situation in which positive and negative numbers are used to describe values that have opposite meaning. What does a 0 r
MrRa [10]
This could be a situation in which items are both bought and sold. In calculating the inventory, positive numbers represent items bought, negative numbers represent items sold and 0 would be no items in the inventory.

Another type of situation would be the displacement of an object from the original position. Where 0 would represent the original/starting position, positive values would represent distance moved forward, negative values represent distance moved backwards. 
4 0
3 years ago
Other questions:
  • Kendall surveyed the students at her school to find out if they like horror movies and/or animated movies. The table below shows
    14·2 answers
  • What is the area of this parallelogram? ___ sq in
    13·2 answers
  • When x is 2, y is 4, p is 0.5, and m is 2. If x varies directly with the product of p and m and inversely with y, which equation
    13·1 answer
  • WILL MAKE YOU BRAINLIEST!!!!!
    12·2 answers
  • Fernando has been saving money to buy an e-book reader. A store has just marked down the price of its readers by 40%. Each reade
    9·1 answer
  • Y = 1.5x + 1<br> y = -0.25x - 6<br><br> please explain how you got your answer. thank you!
    14·1 answer
  • Find the scale factor from A to B. Write the answer as a fraction(example: 5/6)
    15·1 answer
  • -9(-5k+3m) +9m-5(-5m+9k)
    13·1 answer
  • Tangent this equation: <img src="https://tex.z-dn.net/?f=63%28b-1%29%2B7%3D7%289b-8%29" id="TexFormula1" title="63(b-1)+7=7(9b-8
    9·1 answer
  • Question 5 of 5 Which inequality is true? O A. 1 - 3 &gt; 1 O B. B. &gt; 1 O C. 97 &gt; 27 D. TI +7 &lt; 10 SUBMIT​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!