your friend claims that because you can find the distance from a point to a line, you should be able to find the distance between any two lines. Is your friend correct? Explain your reasoning.​

Answers

Answer 1

9514 1404 393

Answer:

  yes

Step-by-step explanation:

Yes, you can find the distance between two lines using the formula for the distance to a line.

In general, the notion of distance between two lines only make sense when the lines are parallel.

The usual formula for the distance between a point (x, y) and the line ...

  ax +by +c = 0

is ...

  d = |ax +by +c|/√(a^2 +b^2)

Two lines that are parallel will differ only in their values of 'c'. That is, if the two lines are ...

ax +by +c1 = 0ax +by +c2 = 0

we can arrive at the formula by considering a point (x, y) such that it satisfies the equation for line 2: ax +by +c2 = 0. The distance of that point from line 1 will be ...

  d = |ax +by +c1|/√(a^2 +b^2)

Since we can add or subtract 0 from anything without changing its value, we choose to subtract 0 from the numerator:

  d = |(ax +by +c1) -(ax +by +c2)|/√(a^2 +b^2)

Simplifying gives ...

  d = |c1 -c2|/√(a^2 +b^2)


Related Questions

Which is a diagonal through the interior of the cube?


A cube. The top face has points A, B, D, C. The bottom face has points E, F, H, G.
Side A H
Side B E
Side C H
Side F G

Answers

Answer:

c

Step-by-step explanation:

Answer:

b c d e

Step-by-step explanation:

took the test

Pls answer fast Y=Mx+b for x

Answers

Answer:

y=mx+b

y=mx+b-b

y-b=mx

y-b/m = mx/m

y-b/m = x

Answer:

x = (y - b)/M.

Step-by-step explanation:

y = Mx + b

Mx = y - b

x = (y - b)/M.

Please help (9th grade math) Will give brainliest

Answers

Answer:

jo jjejejejej

Step-by-step explanation:

nenenebejeje

Answer:

y=25 x=11

Step-by-step explanation:

I need help with number 8 please

Answers

I solved in the picture. Hope this helps ^-^

A frame shop charges according to both the amount. Of framing needed to surround the picture and the amount of glass needed to cover the pictures
a. Find the area and perimeter of the trapezoid-shaped framed picture to the right
b. Identify whether the frame has to do with perimeter or area and the same with the glass
a. The area of the picture is
b. The perimeter is

Answers

Answer:

A: The area of it would be the equation (10x8)x(26)= 2,080 Inches

The perimeter would be (10+32+10+20)= 72

B: Perimeter on the top part of the frame

C: The area of it would be the equation (10x8)x(26)= 2,080 Inches

D: (10+32+10+20)= 72

Plz mark me brainsliestttt!!

simplify these numbers
1. 125 5. 384
2. 458 6. 15710
3. 438 7. 2549
4. 10512 8. 8920

Answers

1. how do i simplify them like in fractions?

Divide and check your answer. 6/938

Answers

6/938 = 0.006 I think that’s correct

Please help me!! Thank you

Answers

rate of change should be -3.5

what are 3 ways you used energy today?​

Answers

Answer:

Heating and cooling our homes, lighting office buildings, driving cars and moving freight, and manufacturing the products we rely on in our daily lives are all functions that require energy.

Answer:

driving cars, heating and cooling our homes,and manufacturing products we use everyday such as clothes and toothpaste.

Step-by-step explanation:

2x + 2y + z = 2
-x + 3y + z = -2
3x + 2z = 7

Answers

Answer:

[tex]x=1,\:\\z=2,\:\\y=-1[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}2x+2y+z=2\\ -x+3y+z=-2\\ 3x+2z=7\end{bmatrix}\\\\\mathrm{Multiply\:}-x+3y+z=-2\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-2x+6y+2z=-4\\\\\begin{bmatrix}2x+2y+z=2\\ -2x+6y+2z=-4\\ 3x+2z=7\end{bmatrix}\\\\-2x+6y+2z=-4\\+\\\underline{2x+2y+z=2}\\8y+3z=-2\\\\\begin{bmatrix}2x+2y+z=2\\ 8y+3z=-2\\ 3x+2z=7\end{bmatrix}\\\\\mathrm{Multiply\:}2x+2y+z=2\mathrm{\:by\:}3\:\mathrm{:}\:\\\quad \:6x+6y+3z=6\\\\\mathrm{Multiply\:}3x+2z=7\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:6x+4z=14\\\\[/tex]

[tex]\begin{bmatrix}6x+6y+3z=6\\ 8y+3z=-2\\ 6x+4z=14\end{bmatrix}\\\\6x+4z=14\\-\\\underline{6x+6y+3z=6}\\-6y+z=8\\\\\begin{bmatrix}6x+6y+3z=6\\ 8y+3z=-2\\ -6y+z=8\end{bmatrix}\\\\\mathrm{Multiply\:}8y+3z=-2\mathrm{\:by\:}3\:\mathrm{:}\:\\\quad \:24y+9z=-6\\\\\mathrm{Multiply\:}-6y+z=8\mathrm{\:by\:}4\:\mathrm{:}\:\\\quad \:4z-24y=32\\\\\begin{bmatrix}6x+6y+3z=6\\ 24y+9z=-6\\ -24y+4z=32\end{bmatrix}\\\\-24y+4z=32\\+\\\underline{24y+9z=-6}\\13z=26[/tex]

[tex]\begin{bmatrix}6x+6y+3z=6\\ 24y+9z=-6\\ 13z=26\end{bmatrix}\\\\Solve\:13z=26\:for\:z\: : , z= 2\\\\\mathrm{For\:}24y+9z=-6\mathrm{\:plug\:in\:}z=2\\\\Solve\:24y+9\times\:2=-6\:for\:y\:,y=-1\\\\\mathrm{For\:}6x+6y+3z=6\mathrm{\:plug\:in\:}z=2,\:y=-1\\\\Solve\:6x+6\left(-1\right)+3\times\:2=6\:for\:x\:,x=1\\\\x=1,\:z=2,\:y=-1[/tex]

Is the simplified form of 2^3x2^6 rational

Answers

Answer: it is not rational.

Step-by-step explanation: 2 to the power of 3 is 8. 2 to the power of 6 is 64. 64x8 is 512. 512 is not a perfect square therefore it is a irrational number.

How do I solve for X?

Answers

Answer

50

Step-by-step explanation:

60 is supplementary to 120 so 60+70=130

and a triangle adds up to 180 so 180-130 would be 50

Suppose that a regression line for some data transformed with logarithms predicts that when x equals 8, will equal 1.603. What does the regression line predict y will equal when x equals 8? Round your answer to the nearest whole number. A. 2 B. 40 C. 13 D. 28

Answers

Answer:40

Step-by-step explanation:

Answer:

B. 40

Step-by-step explanation:

aapeexxxxxab

On a coordinate plane, a line goes through points (negative 4, 0) and (0, 4.5).
What is the x-intercept???
image is there

Answers

-4 is the x intercept.as in the values on the x-axis

Answer:

Im pretty sure it the first one

Step-by-step explanation:

What is equation of a line with a slope of 5 and passes through the point of (2,4)

Answers

Answer:

y-4=5 (x-2)

Step-by-step explanation:

it's point-slope form.

y-y1 = m or slope (x-x1).

y1 being the y coordinate and x1 being the x coordinate.

if you need slope-intercept it is y=5x-6

A baseball diamond is a square with sides 90 ft long. A batter is at bat, with runners at first and second base. At the moment the ball is hit, the runner at first base runs to second base at 25 ft/s. Simultaneously, the runner on second base runs to third base at 15 ft/s. How fast is the distance between these two runners changing 2 s after the ball is hit?

Answers

Answer:

It is changing at -11 ft

Step-by-step explanation:

The distance d is given by

d = √x²+(90-y)²

We have to differentiate

dy/st = 25ft

dx/dt = -15ft

The question says after 2 seconds

Y = 25x2 = 50ft

X = -15x2 = -30ft

Then we calculate rate of change of distance. From the calculations I did, I arrived at

(1/2√900+1600).[900-2000]

= -1100/2x50

= -1100/100

= -11ft

Please check attachment to help you understand the answer better as it is more detailed.

The distance between these two runners changing 2 s after the ball is hit 11 ft

What is differentiation?

The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.

A baseball diamond is a square with sides 90 ft long.

A batter is at bat, with runners at first and second base.

At the moment the ball is hit, the runner at first base runs to second base at 25 ft/s.

Simultaneously, the runner on second base runs to third base at 15 ft/s.

The distance d is given by

[tex]\rm d = \sqrt{x^{2} +(90-y)^2}[/tex]

We have to differentiate

[tex]\rm \dfrac{dy}{st} = 25 \ ft\\\\\dfrac{dx}{dt} = -15 \ ft[/tex]

The question says after 2 seconds

[tex]\rm Y = 25x ^2 = 50 \ ft\\\\X = -15x^2 = -30 \ ft[/tex]

Then we calculate the rate of change of distance will be

[tex]\rm \dfrac{1 }{2\sqrt{900 + 1600}} * (900 - 2000) = \dfrac{-1100}{2*50} = \dfrac{-1100}{100} = -11\ ft[/tex]

More about the differentiation link is given below.

https://brainly.com/question/24062595

Mike buys a dvd set of a television series.each dvd has 6 episodes. There are 24 episodes. How many dvds are in the set?

Answers

Answer:

4 in one set

Step-by-step explanation:

So if 24%6= 4



The stem-and-leaf plot shows kilometers walked by participants in a charity benefit walk. Use

it to answer the questions.

Kilometers Walked for Charity

12

3

3 6

7

9

9

13

1

1

4

5

5

14

0

0

2

3

3

8

8

9

15

2

2

2

.

2

3

5 5 7

16

4

5

5

99

17

3

5

Key: 123 means 12.3

a. How many people participated in the walk?

b. How many of the walkers traveled more than 14 kilometers?

Answers

Answer:

a)35 people participated in the walk

b)22 people walked more than 14 km

Step-by-step explanation:

12|3 3 6 7 9 9

13| 1 1 4 5 5

14| 0 0 2 3 3 8 8 9

15| 2 2 2 2 2 3 5 5 7

16| 4 5 5 9 9

17|3 5

Key: 12|3 means 12.3

a)

Count the number of leaves

Number of leaves = 35

So,35 people participated in the walk

b)

Count the number of people who walked more than 14 km

Exclude 14|0

14|  2 3 3 8 8 9

15| 2 2 2 2 2 3 5 5 7

16| 4 5 5 9 9

17|3 5

22 people walked more than 14 km

20 POINTS!! can someone please help me? i will give brainiest to the right answer.

Answers

Step-by-step explanation:

Since lines p || q are parallel to one another, let us find all the 8 angles,

        1 and 7 are vertically opposite angles and they are equal;

    since angle 1 is 75°, then angle 7 is 75°

 Also, angle 7 and 5 are corresponding angles, corresponding angles are equal;

    So,

         angle 5  = 75°

 Angle 5 is vertically opposite to angle 3,

   So,

       angle 3  = 75°

To find angle 4,

    angle 4 and angle 5 are angles on a straight line;  

       sum of angles on a straight line = 180°

     angle 4 + angle 5  = 180°

     angle 4 = 180 - 75 = 105°

Angle 2 and Angle 4 are corresponding angles and they are equal;

    So angle 2 = 105°

Angle 4 and angle 6 are vertically opposite and they are equal;

   angle 6  =  105°

Angle 6 and 8 are corresponding angles, they are equal;

     angle 8 =  105°

Morgan born is paid $11.20 an hour for a 40-hour week.Her estimated benefits are 33% of her wages.What is value of her total yearly employee benefits?

Answers

Answer:

Как ты это делаешь

Step-by-step explanation:

Ashley’s math average decreased 12 points to 78. Then she completed an extra credit assignment and raised her final average by 5 points. Write an equation to show how Ashley’s average changed.

What was her starting average?
points

How much did her average increase or decrease, overall?
points

What was her final average?


points

Answers

Answer:

1. 90

2. -12 +5

3. 83

Step-by-step explanation:

90 -12 + 5 = 83

Ir[ Fairbanks, the temperature at 6:00 AM on Sunday is - 48°F. The weather forecast
predicts that a warming trend will raise the temperature to 0°F.
If the temperature rises an average of 16° a day, how many days will it take to get to 0?

Answers

Answer:

The answer is 3 days

Step-by-step explanation:

Divide 48/16=3

The mean mark of a group of 10 boys is 58. If the mean of 7 of them is 61, what is the mean of the remaining 3 boys

Answers

Answer:

The mean of the remaining 3 boys is 51.

Step-by-step explanation:

The mean mark of the entire group ([tex]p_{10}[/tex]), dimensionless, is:

[tex]p_{10} = \frac{1}{10}\cdot \Sigma_{i = 1}^{10} x_{i}[/tex] (Eq. 1)

([tex]p_{10} = 58[/tex])

[tex]\frac{1}{10}\cdot \Sigma_{i=1}^{10} x_{i} = 58[/tex] (Eq. 1b)

Where [tex]x_{i}[/tex] is the mark of the i-th boy, dimensionless.

In addition, we know the following mean marks from statement:

[tex]p_{7} = \frac{1}{7} \cdot \Sigma_{i = 1}^{7} x_{i}[/tex] (Eq. 2)

([tex]p_{7} = 61[/tex])

[tex]\frac{1}{7}\cdot \Sigma_{i=1}^{7} x_{i} = 61[/tex] (Eq. 2b)

[tex]p_{3} = \frac{1}{3}\cdot \Sigma_{i=8}^{10}x_{i}[/tex] (Eq. 3)

Where:

[tex]p_{7}[/tex] - Mean mark of the first 7 boys, dimensionless.

[tex]p_{3}[/tex] - Mean mark of the remaining 3 boys, dimensionless.

By applying sum properties in (Eq. 1b) and using (Eq. 2b) and (Eq. 3), we obtain the mean of the remaining 3 boys:

[tex]\frac{1}{10}\cdot [\Sigma_{i = 1}^{7}x_{i}+\Sigma_{i=8}^{10}x_{i}] = 58[/tex]

[tex]\frac{1}{10}\cdot [7\cdot (61)+3\cdot p_{3}] = 58[/tex]

[tex]7\cdot (61) + 3\cdot p_{3} = 580[/tex]

[tex]3\cdot p_{3} = 153[/tex]

[tex]p_{3} = \frac{153}{3}[/tex]

[tex]p_{3} = 51[/tex]

The mean of the remaining 3 boys is 51.

Solve for b. Show your work: 3b+2(b-3)=4 HELP

Answers

Answer:

b=2

Step-by-step explanation:

First multiply everything in the parenthesis by the 2 outside of them then combine like variables to get the equation 5b-6=4 then subtract 6 from both sides then divide by 5 to get b=2.

3g+h=18 2g+3h=26 what is h and what is g

Answers

Answer:

g=4 h=6

Step-by-step explanation:

3g +h = 18 (Equation 1)

2g+3h=26 (Equation 2)

From equation 1

3g+ h =18

h= 18-3g (equation 3)

substitute equation 3 into equation 2

2g+3h= 26

2g+ 3(18-3g)= 26

2g+3×18+3(-3g)=26

2g+54-9g=26

9g-2g= 54-26

7g=28

7g÷7 = 28÷7

g= 4

substitute g into equation 1

3g+h=18

3(4)+ h= 18

12+h= 18

h=18-12

h= 6

Answer:

g = 4; h = g

Step-by-step explanation:

When solving an equation with two variables, the goal is to isolate at least one of the variables so that you can plug it in to the equation to get the other. There are multiple ways to solve this so I'll just be giving one.

3g + h = 18

2g + 3h = 26

In these two equations, I notice that if I multiply the first equation by 3, the two equations will have the same values of h, so I'd be able to isolate g:

9g + 3h = 54

2g + 3h = 26

Now, subtract the second equation from the first to isolate g:

9g + 3h = 54

-2g + 3h = 26

= 7g = 28

= g = 4

Now that we have solved for g, we can plug it into either of the equations and solve for h:

2(4) + 3h = 26

= 8 + 3h = 26

= 3h = 18

= h = 6

And in conclusion, g = 4 and h = 6.

What are the six-digit grid coordinates for spot elevation 192

Answers

Answer:

750450

Step-by-step explanation:

Unpredictable numbers that are distributed over a certain range are ____.
A. Random numbers
B. Random equations
C. Random formulas
D. Tables of formulas

Answers

Answer:

random numbers

Step-by-step explanation:

because they are randomly picked

Unpredictable numbers that are distributed over a certain range are _Random numbers_.

What is random experiment?

Random experiments are repeated multiple times to determine its likelihood.  

The number of times an experiment is repeated is better described as number of trials.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

Now, Unpredictable numbers that are distributed over a certain range are random numbers because they are randomly picked.

Unpredictable numbers that are distributed over a certain range are _Random numbers_.

To Learn more about Random numbers, click here;

https://brainly.com/question/3798851

#SPJ5

A school has 3 differnt after-school clubs. The table below shows the ratios of girls to boys in each club:
Which club has the greatest ratio of girls to boys?
Pls answer I have a test today!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1

Answers

Answer:

Dance m8

Step-by-step explanation:

Answer:

a. Dance

Step-by-step explanation:

We will find the ratios' common denominators and compare them

Dance: 2/3 girls to boys ratio

soccer: 3/5 girls to boys

Chess: 8/15 girls to boys

Lets find a common factor

all of the denominators (bottom numbers evenly go into 15)

2/3=10/15

3/5=9/15

8/15= 8/15 because it already has 15 as a denominator

The number with the greatest numerator is gonna be our answer;

10/15 or 2/3

Jada's bike wheels have a diameter of 20 inches. How far does she travel if the wheels rotate 37 times.

Answers

If we know the diameter is 20inches we can find the circumference by multiplying 20 by pi, which is approximately 62.83 inches. This means that after one rotation the bike will travel 62.83 inches. To find the distance traveled we just multiply the circumference by 37 , which gives us about a total distance traveled of about 2324.78 inches

Twenty times y is at most 100 in interval notation

Answers

Answer:

[tex]y\in (-\infty ,5][/tex]

Step-by-step explanation:

In this problem, we need to write "Twenty times y is at most 100 in interval notation ".

20 times y means, 20y

Atmost means an inequality which is [tex]\le[/tex]

ATQ,

[tex]20\times y\le 100[/tex]

i.e.

[tex]20y\le 100\\\\y\le 5[/tex]

We can also write it as :

[tex]y\in (-\infty ,5][/tex]

Hence, the required interval notation is [tex]y\in (-\infty ,5][/tex].

The interval notation is [tex]\rm y \epsilon (\infty,6][/tex].

What is interval notation?

The Interval notation is a method to define a set of numbers between a lower limit and an upper limit by using end-point values.

"Twenty times y is at most 100 in interval notation ".

Here, 20 times y means, 20y at most means an inequality.

Therefore,

The inequality is;

[tex]\rm 20 \times y\leq 100\\\\20y\leq 100\\\\y \leq \dfrac{100}{20}\\\\y\leq 5[/tex]

Hence, the required interval notation is [tex]\rm y \epsilon (\infty,6][/tex].

To know more about Interval notation click the link given below.

https://brainly.com/question/13048073

Other Questions
Which choice has prokaryotic cells?Lactobacillusbeet rootrose thornhuman kidneyPLEASE HELP! To prevent any unnecessary injuries to small adults and the elderly from a deploying airbag, theseindividuals shouldas possible.A. position their seats as far forwardB. position their seats as far backc. recline their seats as far backD. none of the above When you finish exercising, you are hot, tired, and sweating. After a bottle of juice, you feel a lot better. Which organ systems are working together in this scenario? The headline above is illustrative of which relationship regarding powers over foreign treaties? wwwww.w. wwww. e What was the primary cause of the fall of the Zhou dynasty? O Nomadic tribes formed alliances with feudal leaders. OLeaders of the feudal states attacked the capital city Leaders of the feudal states declared independence NOItaiuIC UIDesuieu wuuNe Kimg agalnseduareaues. An engineer is designing three triangular traffic signs with a computer program. The vertices of Sign A are located at (2, 2) , (2, 12) , and (17, 7) . The vertices of Sign B are located at (4,4),(11, 19) and (18, 4) . The vertices of Sign C are located at (4, 8), (24, 1) , and (24, 15) . Put the signs in order from largest to smallest perimeter. Sign A Sign B Sign C Zhang got an email. It said it was from Apple. The email said there were charges to her account. Her name was spelt two different ways. She could see the bill by clicking on a link. Zhang wasn't sure this email was real. What would you do? And Why? Warm-UpActiveFinding the Slope of a LineWhat is the slope of a line that contains the points (19) and (4, 3)?10The slope of the line isa.5b. -2 c. 6d. -3 "The doorbell rang. Mama stood and nervously smoothed her skirt. Then she pulled open the door with a mile-wide smile on her lips. "Good evening!" she said. . . .She stepped back to let the Bennetts through. Mr. Bennett came in first with a suitcase. Mrs. Bennett followed with two shopping bags and Caleb brought up the rear holding a big box." ---What is the effect of the hyperbole on the passage's meaning and tone? A. It shows that the narrator's mother is angry. B. It implies that the narrator's mother is exaggerating her feelings. C. It suggests that the narrator's mother is close friends with the visitors. D. It suggests that the narrator's mother is excited for the salesperson at the door. How do you solve 2+x=-7 Michael has 2 liters of a 10% solution. How much of a 17% solution would he need to add to get a 15% solution? Which of the following is NOT descriptive of oil paint?a. linseed oil is its vehicleb. it is perhaps the most flexible mediumc. developed during the fifteenth centuryd. its traditional mixture was with egg in the diagram, PSR is a straight line. Calculate the value of X and Y.(easy questions :) HELPPPPPP !!!! A particle with mass 1.81*10^-3kg and a charge of 1.22*10^-8C has, at a given instant, a velocity v= (3.0*10^4 m/s)j.A) What is the magnitude of the particle's acceleration produced by a uniform magnetic field B = (1.63T)i^+(0.980T)j^?B) What is the direction of the particles acceleration? Please show steps so I can follow. who was the the first president in UK Mary I earned the nickname Bloody Mary because she Despite her professional success, Billie Eilish has had personal struggles. Explain how Billie is using her experiences to spread the message that mental health is something everyone should work on. Use facts and details from the Article in your response. Which strategy will the doctor most likely recommend to help the patient reduce his weight in a healthy way? Follow a workout plan if there is extra time in the day. Eat one serving of fruit each week. Follow a diet that increases food consumption. Join a weight-loss support group. Easton Company uses the periodic inventory system and had the following inventory & sales activity for the month of May 2019: Date Activity Quantity Unit Price 5/1 Beginning Inventory 100 $10 5/5 Purchase 250 $12 5/15 Purchase 200 $14 5/25 Purchase 250 $16 Sales were 580 units at $20. Using the LIFO method, determine the dollar value of Cost of Goods Sold for the month of May. How many total infections have been reported since the start of the pandemic? USA