Find the distance between each pair of parallel lines with the given equations y=3x, y=3x+10

Answers

Answer 1

Answer:

sqrt10

Step-by-step explanation:

Since the closest distance between two parallel lines is a line that is perpindicular to them, we first find the line of the slope that is perpindicular to both lines. Since slope of line y = 3x+10 is 3, the slope of the line that is perpinduclar is -1/3. Therefore y = -1/3x is perpindicluar to both lines. We then find the intersection point of each line. We find said points by setting the lines equal to each other. 3x+10=-1/3x, x = -3 therefore y = 1. For the second line we get we find the origin is the intersection. Therefore since this forms a right triangle with the x axis, we find that the distance is 3^2+1^2 = sqrt10


Related Questions

$97.55 business breakfast, 18% tip

Answers

Answer:

115.109 or 115.11 dollars

Step-by-step explanation:

multiply 97.55 by 1.18 to get the amount.

Answer:

$17.60

Step-by-step explanation:

Have an excellent day everyone!

1. What is 7.11 divided by 1.5?

A. 47.4 B. 4.74 C. 4.75 D. 47.5

2. What is the quotient when you divide 0.6 by 0.2?

A. 0.4 B. 30 C. 4 D. 3

3. Find the quotient: 29.58 ÷ 3.4= n.

A. 0.87 B. 8.7 C. 87 D. 9.7

4. What is the result when you divide 11.52 by 1.92?

A. 6.3 B. 5.8 C. 6 D. 4.2

5. What is 128.43 divided by 85.62?

A. 15 B. 1.5 C. 16 D. 1.6

6. Find the quotient: 1,271.82 ÷ 10.34= n

A. 12.3 B. 12.4 C. 123 D. 124

7. Which of the following number sentence has a quotient of 80?

A. .24 ÷ 3=N C. .024 ÷ .003=N

B. .024 ÷ 0.3=N D. 2.4 ÷ .03=N

8. Which of the following equations answers to 4.74?

A. 71.1 ÷ 1.5=N C. 7.11 ÷ .15=N

B. 7.11÷ 1.5=N D. 71.1 ÷ .15=N

9. What is the quotient when you divide 800.7 by 31.4? _______

10. What is 320.04 divided by 12.6?____________​

Answers

Answers:

1. B. 4.74

2. D. 3

3. B. 8.7

4. C. 6

5. B. 1.5

6. C. 123

7. D. 2.4/.03=N

8. B. 7.11/1.5=N

9. The quotient is 25.5

10. 320.04 divided by 12.6 leads to a quotient of 25.4.

Explanation:

The calculator never lies. Oh, and also, you can tell the answer to seven and eight by where the decimal points are located.

Last year, Lashonda opened an investment account with $7200 . At the end of the year, the amount in the account had decreased by 24.5% .How much is this decrease in dollars? How much money was in her account at the end of last year?

Answers

Answer:

1. $17642. $5436

Step-by-step explanation:

Step one:

given data

Initial account balance=  $7200

we are told that the decrease was by 24.5%

Step two:

1. How much is this decrease in dollars?

let us solve for 24.5% of   $7200

=24.5/100*7200

=0.245*7200

=1764

the decrease is $1764

2. How much money was in her account at the end of last year?

the final account balance is

=7200-1764

=$5436

The weather forecast calls for a total of 16 inches of snow over the next week. If it is estimated that 2.8 inches of snow will fall on Monday, 3.4 inches of snow will fall on Tuesday, 1.6 inches of snow will fall on Wednesday, 2.1 inches of snow will fall on Thursday, 1.7 inches of snow will fall on Friday, and 2.9 inches of snow will fall on Saturday. How much snow should fall on Sunday?
A.
3.2 inches
B.
3.6 inches
C.
1.5 inches
D.
0.5 inches

Answers

c c c c c c c c c c
The answer is C and you get this by subtracting all the inches of snowfall over the week from 16 total inches and you should get 1.5 inches.

Which of the following sequences is not a geometric sequence?

50, 25, 12.5, 6.25, …
6, -12, 24, -48, …
0, 2, 4, 6, …
-1, -3, -9, -27, …

Answers

Step-by-step explanation:

the third sequence(0,2,4,6) is not a geometrical sequence

this may help you(:

Answer:

0, 2, 4, 6, …  because the following sequence is arithmetic not geometric

Someone please help me:)

Answers

Answer: D

Step-by-step explanation:

MEANING OF 万華鏡 AND ビアクガン

Answers

Answer:

kaleidoscope and Biakgan

Step-by-step explanation:

plz help An online store advertises 40% off all items and free shipping. Gretta orders a pair of shoes originally priced at $65 and pays an 8% sales tax. How much will Gretta pay in total for this transaction? Show the steps you used to arrive at your solution in a clear, organized response.

Answers

Answer:

$42.12

Step-by-step explanation:

The original price of the shoes was $65.

Everything is 40% off. Therefore, the new price of the shoes now will be the original price minus 40% of 65.

40% of 65 is 0.4(65) or $26. So, $26 was deducted.

This means that the new price will be $65-$26 or $39.

There’s also an 8% sales tax that will be applied. So, Gretta’s total will be the new price of the shoes plus the sales tax being applied to the shoes.

The sales tax is 8% of 0.08. So, when applied to the shoes, it will be: 0.08(39) or $3.12.

Therefore, the total sum Gretta will pay is $39 (the new price) + $3.12 (the sales tax) for a grand total of $42.12

At a​ little-known vacation​ spot, taxi fares are a bargain. A 14 Mile Taxi ride takes 16 minutes and costs 11.20 you want to find the cost for a 49 mile taxi ride

Answers

Answer:

the unit price needed to calculate is $0.8 per mile

Step-by-step explanation:

Here is the complete question:

At a​ little-known vacation​ spot, taxi fares are a bargain. A 14 Mile Taxi ride takes 16 minutes and costs $11.20 you want to find the cost for a 49 mile taxi ride . What unit price do you​ need?

Step-by-step explanation:

To determine the unit price needed to calculate the cost for a 49 mile taxi ride, we will determine the cost of the ride per mile. To do this, let the cost per mile be $x

If it cost $11.20 for a 14 mile ride

Then, it will cost $x for a 1 mile ride

∴ x = (1 × 11.20) / 14 = 0.8

x = 0.8

The taxi ride costs $0.8 per mile.

Hence, the unit price needed to calculate is $0.8 per mile.

If desired,

To find the cost for a 49 mile taxi ride, multiply the distance traveled by the unit price,

Distance = 49 mile

Unit price = $0.8 per mile

∴ Cost for a 49 mile taxi ride = 49 × $0.8

Cost for a 49 mile taxi ride = $39.2

Hence, the cost for a 49 mile taxi ride is $39.2

Use the information on the right to determine which students will have positive z-scores. Aaliyah, who completed the exam in 55 minutes Benjamin, who completed the exam in 86 minutes Cynthia, who completed the exam in 72 minutes

Answers

Answer:

B and C, Benjamin and Cynthia.

Step-by-step explanation:

Next part (Cynthia's score) is 0.2

Answer:

Here's all the answers to the assignment! This is here to help future people in order to get a good grade on e2020! :)

Use the information on the right to determine which students will have positive z-scores.

Answer(s):

B) Benjamin, who completed the exam in 86 minutes

C) Cynthia, who completed the exam in 72 minutes

Cynthia’s z-score is

Answer) 0.2

A newborn who weighs 2,500 g or less has a low birth weight. Use the information on the right to find the z-score of a 2,500 g baby.

Answer) -2

What is the z-score of a newborn who weighs 4,000 g?

Answer) 1

What weight would give a newborn a z-score of −0.75?

Answer) 3125

In the United States, birth weights of newborn babies are approximately normally distributed with a mean of ? = 3,500 g and a standard deviation of ? = 500 g.

According to the empirical rule, 68% of all newborn babies in the United States weigh between

Answer(s) 3000 g and 4000 g

95% of all newborn babies in the United States weigh between

Answer(s) 2500 g and 4500 g.

99.7% of all newborn babies in the United States weigh between

Answer(s) 2000 g and 5000 g.

According to the empirical rule, 68% of 7-year-old children are between  

Answer(s) 47  inches and  51  inches tall.

95% of 7-year-old children are between  

Answer(s) 45  inches and  53  inches tall.

99.7% of 7-year-old children are between  

Answer(s) 43 inches and 55  inches tall.

Use the information given in the table on the right to complete each of the following statements.

Brenda is 50 inches tall. Her z-score is

Answer)  0.5

Zach has a z-score of –1.5. His height is  

Answer) 46  inches.  

Approximately 16 % of 7-year-old children are taller than 51 inches.

In the United States, birth weights of newborn babies are approximately normally distributed with a mean of  μ = 3,500 g and a standard deviation of  σ = 500 g.

What percent of babies born in the United States are classified as having a low birth weight (< 2,500 g)? Explain how you got your answer.

(Answers)

The z-score for 2,500 g is –2.

According to the empirical rule, 95% of babies have a birth weight of between 2,500 g and 4,500 g.

5% of babies have a birth weight of less than 2,500 g or greater than 4,500 g.

Normal distributions are symmetric, so 2.5% of babies weigh less than 2,500g.

Paula has 10 forks and 15 knives to place in silverware holders at the fast food restaurant where she works. She wants to distribute them equally, with no forks or knives left over. What is the greatest number of silverware holders Paula can stock?

Answers

Answer:

that answer is 5 hope you get it right

What is an equation of the line that passes through the points (3, 1) and (4,4)?

Answers

Answer:

Step-by-step explanation:

y2-y1

x2-x1=

4-3    

4-1 =  1/3

y=1/3x

The diagram shows a periscope used to see objects that are behind or under a barrier. What makes it possible to see an object when looking through a periscope? The periscope –
A. contains mirrors that reflect the object
B. magnifies small objects so they can be seen
C. absorbs the light rays passing through it
D. separates the light into different colors

Answers

Answer: A. contains mirrors that reflect the object

Step-by-step explanation:

A periscope contains mirrors in it that are on opposite sides and are arranged in a 45° angle to each other. It works by light striking the first mirror which cause its to reflect it at a 45° angle to the next mirror.

Depending on the length of the periscope, this continues until the last mirror reflects the incoming light to the eyes of the person using the periscope thereby allowing them to see objects hidden behind or under a barrier.  

84 is 35% of which of the following value

Answers

Answer:

28.56

Step-by-step explanation:

Feel free to give brainliest.

Have a great day!


Three friends are starting a new exercise equipment franchise. Their investments are in the ratio of 5:7:11. The smallest investor is contributing $75,000. What is the largest investor contributing?

Answers

Given:

Ratio of investments are 5:7:11.

Contribution of smallest investor = $75,000

To find:

The contribution of largest investor.

Solution:

Let the contribution of three friends be 5x, 7x and 11x respectively.

Here, 5x is smallest and 11 is largest.

The smallest investor is contributing $75,000.

[tex]5x=75000[/tex]

Divide both sides by 5.

[tex]x=15000[/tex]

Now,

[tex]\text{Contribution of largest investor}=11x[/tex]

[tex]\text{Contribution of largest investor}=11(15000)[/tex]

[tex]\text{Contribution of largest investor}=165000[/tex]

Therefore, the contribution of largest investor is $165,000.

Write the equation of the line in slope intercept form given:
m = -6, b = 0

Answers

y = -6x

slope intercept form is y=mx+b, I’m sure you just plug in the numbers

Can someone please help me???

Answers

Answer: Y=2x+1

Step-by-step explanation:Idk the second answer but I know the first one

Jennifer walks 3/4 mile in 1/4 hour, and Gavin walks 1/8 mile in 1/12 hour. Part A. What is Jennifer's walking rate, in miles per hour? Part B. What is Gavin's walking rate, in miles per hour? Part C. Jennifer and Gavin both plan on walking 4.5 miles, and they want to finish at the same time. If Gavin starts walking at 1:00 pm, at what time should Jennifer start walking? Use words, numbers, and/or pictures to show your work. Write your answer(s) on the paper provided.

Answers

Answer:

Step-by-step explanation:

Part A: 3/4 divided by 1/4= 3/4 * 4/1 = 3, Jennifer walks 3 miles per hour.

Part B: 1/8 divided by 1/12= 1/8 * 12/1 = 1.5 or 1 and 1/2 miles per hour

For Part C I dont know, Sorry guys

Tre has to pay $180 to book the recording studio plus $30 per hour of recording time. The function c(h)=30h+180 relates the total cost, c(h) of the recording session (in dollars) to the number of hours, (h) needed to record the tracks.

Answers

Answer:

1. $3302. 11.5 hours

Step-by-step explanation:

Continuation of the question:

1. Find c (5) and interpret your solution in the context of the problem 2. Find the value of h when c() = 525 and interpret your solution in the context of the problem

Solution

c(h) = 30h + 180

1 ...............................................

c(5) = 30*5 + 180 = $330

2 ...............................................

525 = 30h + 18030h = 525 - 18030h = 345h = 345/30 h = 11.5 hours

which measurement is a reasonable height for a child? Explain your choice
A.
[tex]1.39 \times {10}^{2} cm[/tex]
B.
[tex]8.3 \times {10}^{5} cm[/tex]
C.
[tex]1.48 \times {10}^{1} m[/tex]

Answers

Answer:

A

Step-by-step explanation:

because a is 139cm and child is 139 cm not 830000 or not 1.48

A for sure
If you multiple 1.39 times 10 squared you get 139cm which is about 54in.


A and B are postive integers such that 1/a + 1/b +1/ab = 1. Find ab

Answers

Answer: ab =6

have:

[tex]\frac{1}{a}+\frac{1}{b}+\frac{1}{ab}=1\\\\=>\frac{b}{ab}+\frac{a}{ab}+\frac{1}{ab}=1\\\\<=>\frac{a+b+1}{ab}=1[/tex]

=> a + b + 1 = ab

⇔ a + b + 1 - ab = 0

⇔ b - 1 - a(b - 1) + 2 = 0

⇔ (b - 1)(1 - a) = -2

because a and b are postive integers => (b - 1) and (1 - a) also are integers

=> (b - 1) ∈ {-1; 1; 2; -2;}

(1 -a) ∈  {-1; 1; 2; -2;}

because (b -1).(1-a) = -2 => we have the table:

b - 1        -1             1              2             -2

1 - a         2            -2            -1              1

a              -1            3             2              0

b              0            2             3              -1

a.b            0           6             6               0

because a and b  are postive integers

=> (a;b) = (3;2) or (a;b) = (2;3)

=> ab = 6

Step-by-step explanation:

3x²+5x-10=0 find the values of a,b and c​

Answers

Answer:

a = 3

b = 5

c = -10

Step-by-step explanation:

ax^2+bx+c

If the circumference of a circle is 41.8 feet, find the diameter of the circle.

Answers

Answer:

= 6.65605095

Step-by-step explanation:

Plz mark brainliest!!!

Answer:

The screenshot is the correct answer

Step-by-step explanation:

Help me with the geometry work

Answers

Answer:

Step-by-step explanation:

The thing you have to realize is that the diagonals of a parallelogram bisect each other. So  DF = BF. With that fact, you get

4y + 19 = 10y - 11               Add 11 to both sides

4y+19+11 = 10y-11+11          Combine

4y + 30 = 10y                    Subtract 4y

4y-4y +30 = 10y - 4y        Combine

30 = 6y                             Divide by 6

y = 30/6

y = 5

A number line going from negative 1 to positive 1 in increments of 1. There are 4 equal spaces between each number. Is −1 4 < −3 4 ? Use the number line to explain your answer. No, because Negative one-fourth is to the left of Negative three-fourths No, because Negative one-fourth is to the right of Negative three-fourths Yes, because Negative one-fourth is to the left of Negative three-fourths Yes, becauseNegative one-fourth is to the right of Negative three-fourths

Answers

Answer:

the answer is option B no because -1/4 is to the right of -3/4

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

What is the sign of 9(-0.5)

Answers

Hi

For a multiplication , law  sign state : if the two terms of multiplication are of the same sign, result is  positive.  Otherwise, it's negative

here  9 is  positive, and  -0.5  negative.  The two terms have  contrary signs, then the result will be  negative.  

what is the point do these equation intersect x+4y=15 and 4x+5y=16

Answers

The intersection point is at (-1,4). Hope this helps!

slove the equation f-(-4)=12.
f =-8.
f =16.
f =8.
f = -9​

Answers

Step-by-step explanation:

f-(-4)=12(Remove brackets)

f--4=12(Negative and negative is going to give you positive)

f+4=12(Group Like Terms)

f=12-4(Subtract)

f=8

Then that will be the final answer

Answer:

[tex]\huge\boxed{f=8}[/tex]

Step-by-step explanation:

[tex]f-(-4)=12\to f+4=12\qquad|(-)(-)\to(+)\\\\f+4=12\qquad|\text{subtract 4 from both sides}\\\\f+4-4=12-4\\\\f=8[/tex]

How many total minutes is the Express train stopped from 7:00 am until 8:30 a.m

Answers

8:30-7:00= 1hr 30 minutes

Answer is 1hr 30 minutes

Muriel says she has written a system of two linear equations that has an infinite number of solutions. One of the equations of the system is 3y = 2x – 9. Which could be the other equation?
2y = x – 4.5
y = x – 3
6y = 6x – 27
y = x – 4.5

Answers

Answer: B

Step-by-step explanation: If you divide the 3 Y to get Y by itself, you will divide 3 on both sides. So 2X/3=2X/3 and -9/3=-3

So it will be Y=2X/3-3

Other Questions
More than $1 billion was collected from wealthy donors to repair the Notre-Dame Cathedral. Should this entire amount go toward rebuilding the more than 600-year-old landmark? Why or why not? Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What is the solution set of this problem?a. (,-21) b. (, -21)c. (-21,)d. (21,) Which combination of story elements most affects the theme of a story? pleaseeeeeeeeeee helppppppppppppppppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!! im literaly using half of my points i have left !!1111 Which of the following is an exmple of something you can do to help the environment? Suppose you come up with a wonderful new invention, and after borrowing as much as you can from a bank, you believe that additional capital is needed to make the invention marketable. Your small new company would be most likely to find additional capital from the:A. bond credit channel.B. equity credit channel.C. stock credit channel.D. venture capital credit channel. Is your prediction supported by the membrane potential chart? Explain your answer. Elena and Emmanuel live on the Black Sea in Bulgaria and own a small fishing boat. A crew of four is required to take the boat out fishing. The current wage paid to the four crew members is a total of 5,000 levs per day. (A lev is the Bulgarian unit of currency.) Assume that the cost of operating and maintaining the boat is 1,000 levs per day when fishing and zero otherwise. The following schedule gives the appropriate catch for each period during the year.a. What is the marginal product of a days worth of fishing during prime fishing season? during month 7? during month 8? b. What is the marginal cost of a kilogram of fish during prime fishing season? during month 7, during month 8, and during the rest of the year? c. If you were Elena and Emmanuel, how many months per year would you hire the crew and go out fishing? Explain your answer using marginal logic. give three uses of suspension 1 2/3 2 5/8 Give your answer as a mixed number in its simplest form. Which type of archaebacteria lives in the intestines of cows?O a) halophilesb) methanogensc) thermophilesd) acidophiles 12. The number of student athletes at a local high school is 300 and is increasing at a rate of8% per year. What is the expected number of student athletes at the school in 5 years ifthis rate continues? Shawn goes to the library to pick up a copy of a common tax form used file taxes. Which of the following is MOST likely the form that Shawn got?1099W-217761040 plz help :( 1.Your brother and some of his friends, all under 12 years old, went to the movies. They paid $60 for their tickets. What equation could describe the situation? 2.Another family went to the movies. They bought some child tickets and some adult tickets and spent $96 altogether.What equation could describe the situation?How would the equation change if a childs ticket cost $10?How would the original equation change if the total price spent on the tickets were $156? I believe SAS is the correct answer but SSS is also possible so which one is it? Correct any errors in capitalization or punctuation. Your answer should be a single sentence. "You always know you've learned something well," Reagan said, "when you can teach it to somebody else". "You always know you've learned something well," Reagan said, "when you can teach it to somebody else". A provision of the US Neutrality Act of 1935A. encouraged the sale of arms to neutral countriesB. Prohibited the sale of arms to any belligerent nation'sC. prohibited trade of any kind with other nationsD. encouraged trade only with Europe help pleaeeeeesssssssss Guys I need help with this What mass of a solution labeled 6.3% sucrose (C12H22O11, 342 g/mol) by mass contains 11.0 g of sucrose?