Find the distance between the two points

Find The Distance Between The Two Points

Answers

Answer 1

Check the picture below.

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-2}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(~~4 - (-2)~~)^2 + (~~1 - (-4)~~)^2} \implies d=\sqrt{(4 +2)^2 + (1 +4)^2} \\\\\\ d=\sqrt{( 6 )^2 + ( 5 )^2} \implies d=\sqrt{ 36 + 25 } \implies d=\sqrt{ 61 }[/tex]

Find The Distance Between The Two Points

Related Questions

f(x)=x^5+(x+3)^2 which value completed the table

Answers

Answer:

three boys shared D 10,500.00 in the ratio 6:7:8.find the largest share.

Please solve with explanation (high points)

Answers

Answer:

see the attachment photo!

What is the volume of this rectangular
pyramid?
3 m
4 m
Submit
5 m
cubic meters

Answers

Given:l= 5 meterb= 4 meterh= 3 meterNote that:l= length b= breadth h= height To find:

The volume of the given rectangular pyramid.

Solution:

[tex]\large\boxed{Formula:V=\frac{1}{3}lbh}[/tex]

First, multiply the length (5), breadth (4) and height (3).

[tex]5×4×3[/tex]

[tex]= 60 \: cm [/tex]

Now, divide 60 by 3.

[tex]\frac{60}{3}[/tex]

[tex]\large\boxed{V= 20 \: {m}^{3}}[/tex]

Therefore, the volume of the given rectangular pyramid is 20 cubic meters.

A ball is thrown into the air with an initial velocity of 80 ft/sec. The height of the ball after t seconds in the air is given by h(t) = -16t? + 80t + 96. When will the ball be at its
highest point? Show all work.

Answers

Check the picture below.

[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ h(t)=\stackrel{\stackrel{a}{\downarrow }}{-16}t^2\stackrel{\stackrel{b}{\downarrow }}{+80}t\stackrel{\stackrel{c}{\downarrow }}{+96} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)[/tex]

[tex]\left(-\cfrac{ 80}{2(-16)}~~~~ ,~~~~ 96-\cfrac{ (80)^2}{4(-16)}\right) \implies \left( - \cfrac{ 80 }{ -32 }~~,~~96 - \cfrac{ 6400 }{ -64 } \right) \\\\\\ \left(\cfrac{5}{2}~~,~~96+100 \right)\implies \stackrel{highest~point}{\stackrel{\qquad ~~ \downarrow }{\left(2\frac{1}{2}~~,~~196 \right)}}[/tex]

Now explore a few more-difficult problems.
Which of the following statements are true for all the
problems?
The first step is always to divide.
○ The last step is always to subtract.
The decimal always moves one place to the right.
The next to last step is always to multiply.

Answers

The statement that is true for all the problems is " The last step is always to subtract.". Option B.  This is further explained below.

What is Arithmetic?

Generally, Arithmetic is simply defined as the area of mathematics concerned with the study and manipulation of numbers and their properties.

In conclusion, "The final step is always to subtract." is the universally true solution to the difficulties.

Read more about  Arithmetic

https://brainly.com/question/22568180

#SPJ1

Answer: B & D

Step-by-step explanation: I did this assignment.

hope you do well in math and thx for the help

Answers

[tex]|\Omega|=12^2=144\\|A|=4^2+3^2+5^2=16+9+25=50\\\\P(A)=\dfrac{50}{144}=\dfrac{25}{72}\approx35\%[/tex]

Esther gave the storekeeper a twenty dollar bill for a purchase of $14.51. How
much change should she have received?

Answers

Answer:

She would have received $5.49 change

Answer:

$5.49 ~$5.50

Explanation: $20 - $15.51 = $5.49 therefore you have to round off which would initially equal to $5.50

Is this sequence arithmetic? Why or why not?

11, 11, 11, 11, 11

Answers

no because it’s the same number over and over, if it were arithmetic the next number would be x added to 11 to get a2

Thandi has decided to make grocery combo’s for her shop. The wholesaler where she buys from, sells sugar in packets of 20 in a carton, flour in packets of 12 a carton, and there are 15 bags of rice in a carton. How many of each item should she buy so there are an equal number of packets of sugar, packets of flour and bags of rice in each combo?

Answers

Answer:

3 cartons of sugar 5 cartons of flour and 4 cartons of rice

Step-by-step explanation:

First find the least common factor being 60 then divide by the number of packets each carton comes with to find how many cartons you need of each

What is the surface area of this 3d character based off the illustration. Can you provide explanation. Thank you.

Answers

The surface area of this 3d character based off the illustration will be 289.

How to explain the surface area?

It should be noted that the surface area simply means the amount of space that covers the outside of a shape.

Here the length of the shape is 17 and the width is also 17 as well. It should be noted that the width and length are determined by looking at the axis of the shapes drawn.

In this case, the area will be:

Length × Width

= 17 × 17

= 289

In conclusion, the surface area is 289.

Learn more about surface area on:

brainly.com/question/1297098

#SPJ1

The height in feet of 25 trees is shown below (lowest to highest). 25, 27, 33, 34, 34, 34, 35, 37, 37, 38, 39, 39, 39, 40, 41, 45, 46, 47, 49, 50, 50, 53, 53, 54, 54

outlier if any

Answers

There are no outliers in the dataset of the heights in feet of 25 trees

How to determine the presence of outliers?

The sorted dataset is given as:

25, 27, 33, 34, 34, 34, 35, 37, 37, 38, 39, 39, 39, 40, 41, 45, 46, 47, 49, 50, 50, 53, 53, 54, 54

Outliers are relatively far from other elements of the dataset.

The highest and the least elements are 54 and 25, respectively.

Other elements of the dataset are relatively close to these two elements

Hence, there are no outliers in the dataset of the heights in feet of 25 trees

Read more about outliers at:

https://brainly.com/question/3631910

#SPJ1

Write an equation for a line perpendicular to y = − 4 x + 5 and passing through the point (-12,-4)

Answers

Answer:

[tex]y=\frac{1}{4} x-1.[/tex]

Step-by-step explanation:

1) if the lines are perpendicular, then the second slop is 0.25;

2) the equation of the 2d line is y=0.25x+i, where i - unknown intercept;

3) it is possible to calculate the unknown intercept, if to substitute the given coordinates into the equation y=0.25x+i:

-4=-12*0.25+i; ⇔ i=-1.

4) finally, the required equation is:

[tex]y=\frac{1}{4} x-1.[/tex]

2 ³✓3 × 3✓2 please answer this fast

Answers

[tex]2\sqrt[3]{3} \cdot 3\sqrt 2\\\\=6 \cdot \sqrt[3]{3} \cdot \sqrt 2\\\\=6\cdot 3^{\tfrac 13} \cdot 2^{\tfrac 12}\\\\\approx 12.24[/tex]

12.24
Hopefully this helps

6 liters of a gas has a pressure of 4 atmospheres. The gas's original pressure was 6 atmospheres.

What was the original volume in liters?

Enter your answer as a decimal to the 10th place, like this: 4.2 l

Answers

The original volume of the gas was 9.0 liters.

What is proportion?

Proportion is a mathematical expression of quantities in their rate form.

Analysis:

If 6 liters of the gas has a pressure of 4 atmosphere.

Then 1 atmosphere of the gas is 6/4 liters

Therefore 6 atmospheres = 6/4 x 6 = 9.0 liters

In conclusion, the Original volume of the gas was 9.0 liters

Learn more about proportion: brainly.com/question/870035

#SPJ1

Find the distance between the points (5,0) and (-5,3)

Answers

Answer:

10.4

Step-by-step explanation:

√(5--5)²+(0-3)²

√100+9

√109=10.4

In the number 9,206.457138, what is the value of 1?​

Answers

Answer:

0.0001 or 1/10000 or 1 ten thousandths

Step-by-step explanation:

The 1 is 4 places after the decimal point so has a value of :

0.0001 or 1/10000 or 1 ten thousandths

Hope this helped and have a good day

Find the number of students that play

A basketball and football but not volleyball
B basketball only
C none
#15 play
basketball and volleybal

Answers

Answer:

#16 play basketball and football

For the arithmetic sequence beginning with the terms (11, 17, 23, 29, 35), what is the sum of
the first 17 terms?

a.) 1116
b.) 1003
c.) 1235
d.) 896

Answers

Option B is the correct answer.

The sum of 17 terms of the given arithmetic sequence is 1003.

What is Arithmetic Sequence?

An arithmetic sequence is a sequence where each term increases by adding/subtracting some constant k.

Here, given sequence :

  11, 17, 23, 29, 35, ......

first term a = 11

common difference d = 17 - 11 = 6

n = 17

Sₙ = n/2 {2a + (n-1)d}

S₁₇ = 17/2 { 2 X 11 + (17-1)X6}

S₁₇ = 17/2 { 22 + 16 X 6}

S₁₇ = 17/2 X 118

S₁₇ = 17 X 59

S₁₇ = 1003

Thus, the sum of 17 terms of the given arithmetic sequence is 1003.

Learn more about Arithmetic Sequence from:

https://brainly.com/question/15412619

#SPJ1

translate the question into an equation. Do not solve. Let n be the unknown number. what is 1% of 77?​

Answers

Answer:

1% × 77 = n

I used multiplication since "of" counts as multiplication.

Give the standard form 80,000+200+2

Answers

Answer:

80,202 = 8.0202 × 10⁴

The diagram shows a circle inside a square (16cm)
work out the area of the circle ​

Answers

The area of the circle inside the square shape is 200.96 cm²

How to determine the area of the circle?

The length of the square is given as:

L = 16 cm

This represents the diamater (d) of the circle.

The area of the circle is then calculated as:

Area = π(d/2)²

This gives

Area = 3.14 * (16/2)²

Evaluate

Area = 200.96

Hence, the area of the circle is 200.96 cm²

Read more about areas at:

https://brainly.com/question/24487155

#SPJ1

two dozen of pen cost rupee 60.find the cost of 25 such pens.​

Answers

Answer:

it costs rupee 3000 of 50 such pens

Explanation:

first, you have to multiply 50 x 60 which is 3000

second, two dozens of pens, right? so i add double 25 up which is 50 pens.

hope it helps and stay safe! (brainliest me pls)

Silas is researching the cost of a specific souvenir he wants to buy on his international trip. Use the table to answer the question.​

Answers

Answer:

Egypt.

Step-by-step explanation:

We need to set up our conversion factors for each currency.

British Pounds and Egyptian Pounds:

0.83 £ (Europe) = 1 U.S. Dollar

18 E£ (Egypt) = 1 U.S. Dollar

Cost of a Souvenir in Europe:

The cost of souvenir in Europe is 13£. Using our conversion rate, we get

[tex]13\pounds \cdot \frac{\$1}{0.83 \pounds}=\$15.66[/tex]

Cost of a Souvenir in Egypt:

The cost of a souvenir in Egypt is 342 E£. So we have

[tex]342 \text{ E}\pounds\cdot \frac{\$1}{18 \text{ E}\pounds}=\$19[/tex]

Based on our calculations, it is cheaper to buy a souvenir in Europe than in Egypt.

Which of the following rational functions is graphed below

Answers

Answer:

A.

Step-by-step explanation:

if x≠-4, then the correct answer is

[tex]A. \ F(x)=\frac{1}{x+4}.[/tex]

⚠️WILL GIVE BRAINLIEST⚠️Which equation represents circle N?




A.

(x + 7)2 + (y − 6)2 = 25

B.

(x − 7)2 + (y + 6)2 = 25

C.

(x + 7)2 + (y − 6)2 = 50

D.

(x − 7)2 + (y + 6)2 = 50

Answers

Answer:

your answer is option C

Step-by-step explanation:

hope you can understand

Answer:

The answer is indeed C, (x + 7)2 + (y − 6)2 = 50

Step-by-step explanation:

Got it right on edmentum/plato, the other guy is correct. Give him brainliest!

Which equation can be used to solve for x in the following diagram.

Answers

Answer:

C. (3x+12) + x = 180

Step-by-step explanation:

the 2 angles create a straight line which is 180 degrees, so (3x+12) + x = 180

The ratio of black bags to blue bags is 5to 3 if there are a total of 10 black bags ,then how many blue bags are there

Answers

Answer:

6

Step-by-step explanation:

We can think of the 10 black bags as 2 sets of 5-black bags (10 divided into groups of 5; 10 / 5 ; is 2 groups/sets). So, we would also have two sets of 3 (3 x 2 = 6), or 6 bags.

5 : 3 = 10 : 6

(multiply both numbers by 2)

I need to find values of product and quotient functions

Answers

The answers are 8 and 2

What is a function?

A function is an equation that establishes a relationship between two or more variables.

Analysis:

r(x) x s(x) = 2[tex]\sqrt{x}[/tex] x [tex]\sqrt{x}[/tex] = 2x

r2(4) = 2 x 4 = 8

r(x)/s(x) = 2[tex]\sqrt{x}[/tex]/ [tex]\sqrt{x}[/tex] = 2

In conclusion, the values of the product and quotient of the functions are 8 and 2 respectively.

Learn more about functions; brainly.com/question/25638609

#SPJ1

A wooden roller is 1 m long and 8 cm in diameter. Find it's mass in grams if 1cm³ of the wood has a mass of 0.7 g​

Answers

Answer:

1120π grams

==> 3518.58 grams  using value of π = 3.14159 or

==> 3520 grams using value of π = 22/7

Step-by-step explanation:

Volume of a cylinder = πr²l where r is the radius of the base and h is the length of cylinder

The diameter of the cylinder, d = 8cm and radius = d/2 = 4cm

Length = 1 meter = 100 cm

Here, volume V = π.4².100 =  π x 16 x 100 = 1600π cm³

Since 1 cm³ has a mass of 0.7gm total mass
M = 0.7V = (0.7)1600π =1120π gm


Using the ratio 22/7 for pi we get
M =  1120 x 22/7  = 3520 g

If we use the more accurate value of π as 3.14159 then we get
M = 1120 x 3.14.159 = 3518.58 g which is more accurate

Solve 10x + 16 2 6x + 20.
A. x29
B. x=9
c. x=1
D. x21


Answers

An equation is formed of two equal expressions. The value of x for which the equation has a solution is 1.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The solution for 10x+16=6x+20 is,

10x + 16 = 6x + 20

10x - 6x = 20 - 16

4x = 4

x = 1

Hence, the value of x for which the equation has a solution is 1.

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ1

Other Questions
Grandma baked 969696 cookies and gave them to her grandchildren. One of the grandchildren, Cindy, received ccc fewer cookies than she would have received had all of the cookies been evenly divided among the 888 grandchildren.How many cookies did Cindy receive? 100 points25- For a space both men weresilent, turning over in theirminds the wonderful changesthat this dramaticreconciliation would bringabout. In the cold, gloomyforest. with the wind tearing infitful gusts through the nak3dbranches and whistling roundthe tree-trunks, they lay andwaited for the help that wouldnow bring release and succourto both parties. And eachprayed a private prayer thathis men might be the first toarrive, so that he might be thefirst to show honourableattention to the enemy thathad become a friend. Select the correct texts in the passage.Which two lines best reflect how the setting influences Inges daily life?The wall was just a few feet from the home Inge shared with her parents. Aside from her school and other crumbling buildings in their neighborhood, their world was a few rooms in a dull, gray concrete flat with no yard and no trees. The wall was part of the view from the only windows they had, and Inge was drawn to the sounds she often heard from the other sidelaughter, shouting, music, and the noise of busy traffic.One day, as she explored the wall imagining what the sounds meant, she came upon a hole. Her heart thumped wildly as she leaned toward it. Through the hole, Inge caught a glimpse of a whole new world. It was a world of colorreds, blues, and yellows in the dresses of women strolling down the street, the colors of the shirts and ties the men wore, the colors of the ribbons in the little girls' braids. It was a world of people who did not begin and end each day in shades of gray. It was alive and brimming with activity, with living. Inge leaned, transfixed by the view, for hours until she began to feel the strain in her back and leg muscles. Then, pulling herself away, she headed home, knowing she would return again and again.One fall day in 1990, as Inge headed for her favorite spot in the wall, she noticed that the towers from which the guards viewed her neighborhood were empty. And she noticed something else: she was not alone. Others, mostly young men with a mix of other people, some of whom she recognized were at already at the wall or moving toward it. Identify the balanced chemical equation that represents a single displacement reaction.CF 4 + 2Br 2 CBr 4 + 2F 23H 2SO 4 + 2Al Al 2(SO 4) 3 + 3H 2CF 4 + Br 2 CBr 4 + F 23H 2SO 4 + 2Al Al 2(SO 4) 3 + H 2 A person is accompanied on board a motorboat by a parent or guardian. How old must the person be to operate the boat?. What does it mean to have a negative savings rate?A) Saving for something that is a want instead of a needB) Having a fully funded emergency fundC) Having no savings at allD) Spending more money than you make and acquiring debt 1979 marked the fall of the _____ and the installment of religious leader ayatollah Khomeni.a, king of Iranb, shah of Iran c, Saigond, Vietname, none of the abovehelp Can I Get Some Help With This Please Brainliest Please Nothing dum Using Walter de la Mares poem, Music, as a model, write a three (3) stanza poem where you express what happens to you when music sounds.Remember these important directions:Begin each stanza with When music sounds.Include four (4) lines per stanza.Include imagery that appeals to the sense(s) of the reader throughout the poem.Use punctuation, capitalization, spelling, and grammar appropriately.Start thinking about and add a creative title that fits your poem. (Be aware that your title may change as you continue to write and revise your poem.)When music sounds, gone is the earth I know,And all her lovely things even lovelier grow;Her flowers in vision flame, her forest treesLift burdened branches, stilled with ecstasies.When music sounds, out of the water riseNaiads whose beauty dims my waking eyes,Rapt in strange dreams burns each enchanted face,With solemn echoing stirs their dwelling-place.When music sounds, all that I was I amEre to this haunt of brooding dust I came;And from Time's woods break into distant songThe swift-winged hours, as I hasten along. How many solutions exist for each system of equations?x + 2y = 12x + 3y = 0 There are 5 dessert courses in a restaurant. They will be presented two at a time in an order. How many different arrangements are there? The process of seeping of water into the ground in called Here is a diagram of a black circle inside a white square and a diagram of a small grey square inside a white square.The two white squares are the same size.AB = 8x. The sides of the square are tangents to the circle at the points E, F, G and H.W, X, Y and Z are the midpoints of AB, BC, CD and DA respectively.Work out the ratio of the area of the black circle to the area of the white square to the area of the grey square. Give your answer in its simplest form.Hi, I don't understand this. Can someone please explain? It's 50 points. Perform the following operation and express the answer in scientific notation. 9.80x10-3 + 1.60x10-4 [ ? ]x10 Calculate the perimeter of this shape. Match each online banking security practice with the PCI security requirement that mandates it.vulnerability management programcredit card data protectionstrong access controlssecure networkencrypting transfer of card datainstalling a firewallinstalling antivirus softwareassigning unique IDs and user names Imperial rivalries and military buildups in 20th-century Europe created a situation in which: A. disagreements among European states could easily erupt into armed conflicts. B. small countries tried to become part of large empires for their own protection. C. republican governments in Europe were overthrown by military dictators.D. European countries were unwilling to form military alliances with their neighbors. Describe one specific way that the two disasters detailed above contributed to the decline of the Roman empire Find the HCF of ax3y and bx4y3 What were some ways political machines hurt cities?A. People without ability or experience became officials.B. Immigrants received help and could stay in America.C. Corrupt leaders were kept out of power.D. People worked to stop government corruption Which recursive formula can be used to generate the sequence below, where f(1) = 3 and n 1? 3, 6, 12, 24, 48, f (n 1) = 3 f(n ) f (n 1) = 3 f(n ) f (n 1) = 2 f(n ) f (n 1) = 2 f(n)