What is the distance, d, between the points (3,5/2) and (5/3,1)?

Enter your answer in the box. Enter your answer in simplest radical form.

Answers

Answer 1

The distance between the two points is of:

[tex]D = \frac{\sqrt{145}}{6}[/tex]

------------------------------

Distance between two points:

Two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

------------------------------

The points are [tex](3, \frac{5}{2})[/tex] and [tex](\frac{5}{3},1)[/tex].Thus, the distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]D = \sqrt{(\frac{5}{3} - 3)^2+(1 - \frac{5}{2})^2}[/tex]

[tex]D = \sqrt{(\frac{5}{3} - \frac{9}{3})^2 + (\frac{2}{2} - \frac{5}{2})^2}[/tex]

[tex]D = \sqrt{(-\frac{4}{3})^2 + (-\frac{3}{2})^2}[/tex]

[tex]D = \sqrt{\frac{16}{9} + \frac{9}{4}}[/tex]

[tex]D = \sqrt{\frac{64 + 81}{36}}[/tex]

[tex]D = \sqrt{\frac{145}{36}}[/tex]

[tex]D = \frac{\sqrt{145}}{6}[/tex]

A similar problem is given at https://brainly.com/question/14849255

Answer 2

Answer:

The answer is \/145/6 (The answer above)

Step-by-step explanation:

I took the Test.

What Is The Distance, D, Between The Points (3,5/2) And (5/3,1)?Enter Your Answer In The Box. Enter Your

Related Questions

why? just why. why are we here? should i off myself? should i stay?

Answers

Answer:

It can be a passing thought or a question that launches a full-on existential exploration. Having a sense of meaning and purpose in life is usually a positive motivator, at home and at work. But maybe the questioning itself is where life's true mission is found...

Step-by-step explanation:

I WILL MARK BRIANLIEST PLEASE HELP!!!

Answers

Answer:

50 degrees

Step-by-step explanation:

Angle ABE is the opposite of the angle given on two converging lines, making it the same degree :)

The body of 150lb person contains 2.3x10-4 lbs of copper. How much copper is contaned

Answers

19 I think. If you use a calculator and calculate it you get 19.

Snow is falling steadily in Syracuse, New York. After 2 hours, 4 inches of snow has fallen. If it continues to snow at the same rate, how many inches of snow would you expect after 6.5 hours?

Answers

Answer:

13 inches of snow

Step-by-step explanation:

The given table values represents a liner equation. What is the slope?

A. 2
B. 3
C. 1
D. 4

Answers

Answer:

A. 2

Step-by-step explanation:

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Use any two points given in the table of values. Let's use (1, 5), (3, 9)

Let,

[tex] (1, 5) = (x_1, y_1) [/tex]

[tex] (3, 9) = (x_2, y_2) [/tex]

Plug these values into the slope formula:

[tex] slope (m) = \frac{9 - 5}{3 - 1} [/tex]

[tex] slope (m) = \frac{4}{2} [/tex]

[tex] slope (m) = 2 [/tex]

2/3x + 2/3 + 1/5x = 2/3x
Does it have one solution, no solution, or infinity many solutions?

Answers

Answer:

One solution

Step-by-step explanation

What is the rule of the rotation. Did it rotate clockwise or counterclockwise? How many degrees did it rotate?

Answers

Answer: rotates clockwise.
It rotates two times so i think 180°

How do you do this question?

Answers

Answer:

convergent

Step-by-step explanation:

the function increases or decreases or as the number of terms of the series increases.

Answer:

Divergent

Step-by-step explanation:

The series can be written as:

∑ 1 / (4n − 1)

We can compare this to 1 / (5n).  1 / (5n) is smaller and diverges (p-series test).  Therefore, the larger function also diverges.

for factoring zero how do i solve? 3x^2-12x=0

Answers

Combine like terms so it would be -3x then divide to the answer would be 0

The back of Dante's property is a creek. Dante would like to enclose a rectangular area, using the creek as one side and fencing for the other three sides, to create a pasture. If there is 960 feet of fencing available, what is the maximum possible area of the pasture?

Answers

Answer:

Step-by-step explanation:

960/3. that's 320 a side. They said maximum, I'm guessing they just wanted you to use base times height as if it was a square, since I'm not seeing any other information. the maximum possible area would be, if the sides were 320 each would be 102,400 square feet. Maximum

Anybody Know This. ?

Answers

The last choice would be it because when looking at the triangle you can see that a and b look the same as d and e and same goes with the rest of them just look at the figure to see what goes with what

A washer and a dryer cost $796 combined. The washer cost $54 less than the dryer. What is the cost of the dryer?

Answers

Answer:

The cost of the dryer would be 425$

Step-by-step explanation:

796 - 54 = 742

742 ÷ 2 = 371

371 = washer cost

371 + 54 = 425

425 = dryer price

Answer:  The dryer costs $425

======================================================

Explanation:

w = cost of washer

d = cost of dryer

costs are in dollars

w+d = 796 since the two costs combine to get a total cost of $796

w = d-54 because the washer is $54 cheaper

-------------------------

Let's start with the first equation and plug in the second equation

w+d = 796

(w) + d = 796

(d-54)+d = 796 ... replace w with d-54

d-54+d = 796

2d-54 = 796

2d = 796+54 ... adding 54 to both sides

2d = 850

d = 850/2 ... dividing both sides by 2

d = 425

The dryer costs $425

We can stop here.

-------------

If you want to find the cost of the washer, then,

w = d-54

w = 425-54 .... plug in d = 425

w = 371

The washer costs $371

Note that

w+d = 371+425 = 796

which matches with the total cost we were given. This confirms our answer.

If 4 − 7x is 5 less than 23, what is the value of 3x ?

Answers

4- 7x = 23- 5

4 - 7x = 18

-4 = -4

-7x = 14

/-7 = /-7

X = -2

3x = -6

how many letters is supercalifragilisticexpialidocious i will give brainlist also give goog explination why i sholud give it to you

Answers

Answer:

Supercalifragilisticexpialidocious is 34 letters long.

Step-by-step explanation:

I see you like Fortnite by your profile picture, I play as well. I'm an OG, I have Black Knight. That's why I think you should give it to me.

еthaȵ is my Epic if you ever want to play.

multiple and divide signed numbers​

Answers

Answer:

Step-by-step explanation:

Multiply answer = - 106

Divide answer = 1.25

the top angle is angle X, but the question is "which of the following congruence statements is true?
A. none of the above
B. XYZ = XZY
C. XYZ = YXZ
D. XYZ =ZYX​

Answers

You are correct. The answer is choice B.

The base angles of an isosceles triangle are congruent. The base angles are opposite the congruent sides as shown by the tickmarks.

Jack's grades on his last 4 tests were 85%, 76%, 95%, and 81%. What does he need to get on his fifth test to have an average of at least 85%?

Answers

Answer:

he has to get at least a score of 88

Step-by-step explanation:

Answer:

84.25%

Step-by-step explanation:

85+76+95+81 = 337

337/4= 84.25

so Jack needs to get at least 84.25% on his fifth test to have an average of at least 85%:)

giving 70 points please help I only have 20 minutes to get It.......​

Answers

Answer: 8

Step-by-step explanation:

A dice is rolled twice.
What is the probability of getting a 2 AND a 5?

Answers

There is a 36% chance of probabilty and can i have brainliest answer

How many solutions exist for the given equation? 3x+13 3(x + 6)+1
zero
one
two
infintely many​

Answers

Answer:

Two solutions.

hope that will help you

Answer:

A. zero

Step-by-step explanation:

3x + 13 = 3(x + 6) + 1

step 1. distribute 3 through the parantheses:

3x + 13 = 3(x + 6) + 1

step 2. cancel equal terms on both sides of the equation:

3x + 13 = 3x + 18 + 1

13 = 18 + 1

step 3. add the numbers:

13 = 18 + 1

13 = 19

13 ≠ 19, so there is no solution.

may i please have brainliest?

Question One
There are 7 linomen, 2 running backs, 1 fullback, and 1 quarterback on an American football team. What is the ratio, in simplest form,
of the number of linemen to the total number of players on the team?
A
1:2
B.
2:7
С
7:11
11:2
Question Two

Answers

Answer:

7:11

Step-by-step explanation:

No of linemen = 7

No of running backs = 2

No of fullback = 1

No of quarterback =1

The total no of players on the team = 7+2+1+1 = 11

We need to find the ratio of the number of linemen to the total number of players on the team.

R = 7/11

or

R = 7:11

Hence, the required ratio is 7:11.

The last awnser is 1/21 btw pls help me thank u if you do and u get brainles

Answers

Answer:

2/121, 1/121

Step-by-step explanation:

Problem 1:

We have the following letters in the bag:

P R O B A B I L I T Y

There is a total of 11 letters.

If we select B, we have a 2/11 chance to get it. If we then replace it and select A, we have a 1/11 chance to select it.

Thus we have a (2/11) * (1/11) chance to get that combination,

Which is 2/121.

---------------------------------------------------------------------------------

Problem 2

We have the following letters in the bag:

P R O B A B I L I T Y

There is a total of 11 letters. If we select P, we have a 1/11 chance to get it. If we then replace it and select L, we have a 1/11 chance to select that.

Thus we have a (1/11) * (1/11) chance to get that combination,

Which is 1/121.

You have 12 balloons to blow up for a party. You blow up 13 of them, and your friend blows up 5 of them. What fraction of the balloons still need blowing up?

Answers

Answer:

None

Step-by-step explanation:

First of all you have 12 balloonas, and you blow up 13 of them and your friend blows up 5 of them but you only have 12. So you can’t find the right amoun.

Answer:

The Awnser is 1/4

Step-by-step explanation:

13 over 4 times 19 over 3

Answers

it is 247 over 12 i think

Answer:

13/4*19/3=20.5833 or 20 and 7 over 12

7x + 4y
if x = 5 and y = -3

Answers

Answer: 23

Step-by-step explanation: Plug in your values:

7(5) + 4(-3)

35 + (-12)

35 - 12

23

Hope this helps!

23 and hope it helps you with your question

A sample of employees of Worldwide Enterprises is to be surveyed about a new health
care plan. The employees are classified as follows:
Classification Event Number of Employees
Supervisors A 120
Maintenance B 50
Production C 1,460
Management D 302
Secretarial E 68
(a) What is the probability that the first person selected is:
(i) either in maintenance or a secretary?
(ii) not in management?

(c) Are the events in part (a)(i) complementary or mutually exclusive or both

Answers

Using the probability concept, it is found that:

a) i) There is a 0.059 = 5.9% probability that the first person selected is either in maintenance or a secretary.

ii) There is a 0.849 = 84.9% probability that the first person selected is not in management.

b) The events are neither complementary nor mutually exclusive.

A probability is the number of desired outcomes divided by the number of total outcomes.

Item a:

In this problem, there is a total of 120 + 50 + 1460 + 302 + 68 = 2000 people.

Of those, 50 + 68 = 118 are either in maintenance or a secretary, hence:

[tex]p = \frac{118}{2000} = 0.059[/tex]

There is a 0.059 = 5.9% probability that the first person selected is either in maintenance or a secretary.

Item ii:

2000 - 302 = 1698 people are not in management, hence:

[tex]p = \frac{1698}{2000} = 0.849[/tex]

There is a 0.849 = 84.9% probability that the first person selected is not in management.

Item b:

If a person is either in maintenance or a secretary, they are also not in management, hence the events are neither complementary nor mutually exclusive.

To learn more about the probability concept, you can take a look at https://brainly.com/question/24437717

Following are the solution to the given points:

For point a:

i)

[tex]\to P(B \cup E) = P(B) + P(E) - P( B\cap E)[/tex]

Where [tex]P(B \cap E) = 0[/tex] because they are both separate occasions It is impossible to be a member of both departments.  

[tex]\to P(B\cup E) =\frac{50}{120 + 50 + 1460 + 302 + 68} +\frac{68}{120 + 50 + 1460+ 302 +68}\\\\[/tex]

                    [tex]=\frac{50}{2000} +\frac{68}{2000}\\\\=\frac{50+68}{2000} \\\\=\frac{118}{2000} \\\\=\frac{ 59}{1000} \\\\=0.059\\[/tex]

ii)

[tex]\to P(D^c) = 1 - P(D)[/tex]

               [tex]=1- (\frac{302}{120+50+1460+302+68})\\\\=1- (\frac{302}{2000})\\\\=1- (\frac{ 151}{1000})\\\\= 1- 0.151 \\\\= 0.849\\\\[/tex]

For point b:

Please find the attached file.

For point c:

Events in a. I are mutually incompatible since [tex]P(B \cap E) = 0[/tex]. One would be a part of the both departments.

Learn more:

brainly.com/question/20661176

What is 0.22778 as a percentage

Answers

Answer:

22.778%

Step-by-step explanation:

0.22778/1*100/100=22.778/100

Find the quotient.

−54÷−6

Answers

Answer:

9

Step-by-step explanation:

The quotient to -53\-6 is 6

A company has determined that its profit for a product can be described by a linear function.
The profit from the production and sale of 150 units is $455, and the profit from
250 units is $895.
(i) What is the average rate of change of the profit for this product when
between 150 and 250 units are sold?
(ii) Write the equation of the profit function for this product.
(iii) How many units give break-even for this product?
(b) You are the CEO for a lightweight compasses manufacturer. The demand
function for the lightweight compasses is given by p = 40 − 4q
2where q
is the number of lightweight compasses produced in millions.It costs the company $15
to make a lightweight compass.
(i) Write an equation giving profit as a function of the number of lightweight compasses
produced.
(ii) At the moment the company produces 2 million lightweight compasses and makes a profit
of $18,000,000, but you would like to reduce production. What smaller number of
lightweight compasses could the company produce to yield the same profit?

Answers

Step-by-step explanation:

(a)(i) The average rate of change is:

(895 − 455) / (250 − 150)

4.4

(a)(ii) Since the profit is linear, the slope of the line is equal to the average rate of change.  Using point-slope form:

y − 455 = 4.4 (x − 150)

Simplifying to slope-intercept form:

y − 455 = 4.4x − 660

y = 4.4x − 205

(a)(iii) The break-even point is when the profit is 0.

0 = 4.4x − 205

4.4x = 205

x = 46.6

(b)(i) The "demand function" is the selling pice of the compasses:

p = 40 − 4q²

where p is the price in dollars and q is the quantity in millions of units.

Profit is revenue minus cost.

P = R − C

P = pq − 15q

P = (p − 15) q

P = (25 − 4q²) q

P = 25q − 4q³

where P is the profit in millions of dollars and q is the quantity in millions of units.

(b)(ii) Find values of q when P = 18.

18 = 25q − 4q³

4q³ − 25q + 18 = 0

We know that q=2 is a root of this equation.  Using grouping:

4q³ − 8q² + 8q² − 25q + 18 = 0

4q² (q − 2) + (q − 2) (8q − 9) = 0

(q − 2) (4q² + 8q − 9) = 0

4q² + 8q − 9 = 0

Solve with quadratic formula.

x = [ -b ± √(b² − 4ac) ] / 2a

q = [ -8 ± √(8² − 4(4)(-9)) ] / 2(4)

q = (-8 ± √208) / 8

q = (-8 ± 4√13) / 8

q = (-2 ± √13) / 2

Since q is positive, q = (-2 + √13) / 2, or approximately 0.803.

A school is purchasing new athletic uniforms for the basketball team. Each uniform costs the school $50.00. The school pays a $80.00 flat shipping fee. If the school spends $830.00 on the order, how many uniforms, did they purchase? a. Write the equation to solve the problem. b. Find the solution

Answers

Answer:

15 uniforms.

Step-by-step explanation:

830-80=750/50=15  : )

Other Questions
Theres only one word in the dictionary thats spelled wrong. What is it? Document Analysis DBQObjective: Students will learn how the Stamp Act affected colonists.Related benchmarks:SS.8.A.3.2 Explain American colonial reaction to British policy from 1763 - 1774. . SS.8.A.3.5 Describe the influence of individuals on social and political developments during the Revolutionary era. SS.8.A.3.6 Examine the causes, course, and consequences of the American Revolution. Essential Question/Guiding question Was it fair for the British to tax the colonists? Why or why not? Task Directions Today you will look at documents (sources) to determine how the Stamp Act impacted the colonists. For this assignment, you will read one document at a time and answer text-dependent questions. Documents on the Stamp ActDocument AThe Stamp Act (excerpts) passed by Parliament on March 22, 1765 AN ACT for granting and applying certain stamp duties, and other duties, in the British colonies and plantations in America, towards further defraying (to pay) the expenses of defending, protecting, and securing the same; and for amending such parts of the several acts of parliament relating to the trade and revenues of the said colonies and plantations, . . .For every . . . sheet or piece of paper, on which shall be . . . written, or printed:Item taxed Amount of Tax. . . any . . . pleading in any court. . . . 3 pence. . . any copy of any will. . . . 6 pence. . . any . . . certificate of any degree taken in any university, academy, college, or seminary of learning. . . 2 pounds. . . any . . . deed. . . . 3 pence. . . any pleading in an admiralty court 1 shilling. . . bill of lading (document used to transport goods) to be signed for goods exported 4 pence. . . And for and upon every pack of playing cards, 1 shillings and all pair of dice. . . . 10 shillings. . . And for and upon every paper, commonly called a pamphlet, and upon every newspaper. . . .(Varied depending upon the number of pages) to less than full sheet pence1-6 sheets would be 1 shilling per sheet. . . For every advertisement to be contained in any . . . newspaper . . . 2 shillings. . . For every . . . calendar or almanac . . .(Depended on how often it was printed) 4 pence **Note: 1 pound equals about $200 today/20 shillings equals a pound/1 shilling would equal about $10.00/12 pence equals 1 shilling/1 pence equals about 80 centsDocument A Analysisremember to paraphrase from the documents1. What is the source of the document? Is it a primary or secondary source? Explain.2. What was the purpose of the Stamp Act, according to the document?3. A colonist purchased a pair of dice, a 4 page newspaper, and placed an ad to sell a product in a newspaper. How much in todays money would that have cost?Document B: Taxation in Colonial America by Alvin RabushkaYear National Debt Government Revenue Government Spending1739 46,954,623 5,820,000 5,210,0001748 78,293,313 7,199,000 11,943,0001755 74,571,849 6,938,000 7,119,0001762 146,682,844 9,459,000 20,040,0001775 135,943,051 11,112,000 10,365,000Source: Alvin Rabushka, Taxation in Colonial America, 725. Princeton University Press, 2008.Alvin Rabushka is the David and Joan Traitel Senior Fellow (emeritus) at the Hoover Institution. He is an expert on taxation. His books and articles on the flat tax, with Hoover fellow Robert Hall, have provided the foundation for numerous tax reform bills. His book Taxation in Colonial America released by (Princeton University Press, 2008), won the Fraunces Tavern Museum Special Recognition Book Award in 2009.British debt doubled as a result of the French and Indian War. The annual cost of maintaining the British army in the thirteen colonies before the war was 13,000. The additional 15 battalions (large number of troops) in North America after the war increased the cost to 220,000. Interest on the debt was 4.4 million per year so just paying the interest concerned King George III and Parliament. The colonies opposed paying for their own defense so Parliament passed a tax to raise revenue to make the colonists provide for their common defense. The tax was called the Stamp Act because it required a stamp to be placed on all printed materials purchased throughout the thirteen colonies. The total amount intended to be raised by the new tax was 60,000 per year, this is not even 20% of the total amount required to maintain the troops.Document B AnalysisStudy the chart and reading to answer the questions. Remember to paraphrase.1. What is the source of the document? Is it a primary or secondary source? Explain.2. How did the French and Indian War impact British debt? 3. What was the exact difference in pounds in the debt between 1755 and 1762?4. How much did it cost to keep British troops in the colonies after the war? Citizen participation is critical for the political process to work. Citizens can participate in the political process through all of the following ways EXCEPT:A.providing financial supportB.volunteering time to a partyC.skipping the general electionD.wearing campaign buttons if humans spent nearly 200,00 years living as foragers, why did then began farming and staying in one place? Write a 3-paragraph essaying comparing and contrasting the standard of living in the the United States and in each of the other two countries you chose. Use data about per capita GDP and other factors to consider similarities and differences between the standard of living in all three countries.First, conduct research to learn more about the standard of living in each country. Look for information abouteducational opportunitiesliteracypollution, safety, and healthwork-life balanceequality or inequality between men and womenequality or inequality between different racial or ethnic groupsYou might wish to begin your research about the United States with this link.Take notes as you research. Remember to keep track of where you find information so that you can cite your sources.In your essay, describe similarities and differences between the standards of living in all three countries. Use per capita GDP and other facts and data from your research to support your ideas. Why does a childs brain need to go through pruning? explain using growth mindset terminology and thinking Please only answer if you truly know Im giving about 100 points for this thats a hell of a lot of points for one question so answer right thank you! An experiment is carried out to determine how different PH values of soil will affect the growth of tomato plants. In this experiment, the dependent variable could be theA) height of the tomato plantsB) pH of the soilC) specific variety of tomato plants usedD) pH of enzymes is tomato leaf cells PLEASE HELP!Which of the following parts of a story' is considered the pivitol part or turning point of the plot?Question 1 options:expositionrising actionclimaxresolution what is research means? Josue knows that his aunt earns more money. than his uncle. He asked how much his aunt earns each month and was told, "$600 less than twice what your uncle earsn." If his aunt earns $4,200 per month, how much money does his uncle earn each month? Whos betterRod wave or polo GAnd whats 12x12 I need help !!!! What religion dominates Russia ? A. Judaism B. Christianity C. IslamD. Buddhism 5.125Express that as a common fraction please What is the structure for each macromolecule (what does each one look like?) PLEASE ANSWER THIS FOR ME!!!!! What is the difference between naming a segment and writing its distance? Tiffany wants to calculate the volume of her globe. The globe is in the shape of a sphere. She measured the circumference of the globe along the equator to be 24 inches. What is the volume of the globe? Round your answer to the nearest whole number. PLEASE PLEASE ANSWER!!!!!!!!!!!!WILL GIVE BRAINLIEST, 5-STAR RATING, AND THANK YOU!!!!!What was the Long Parliament and why did it have to deal with religious issues within England yet again