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

Answers

Answer 1

Answer:

5

Step-by-step explanation:

The distance between two points [tex]P[/tex] and [tex]Q[/tex] is  [tex]d = \sqrt{\sum_{i=1}^{n} \left(q_{i} - p_{i}\right)^{2}}[/tex] ([tex]n[/tex] s the number of coordinates of each of the two points, [tex]p_i[/tex] , [tex]i=1..n[/tex] and [tex]q_i,i=1..n[/tex]

are the coordinates of the first and the second points respectively).

Thus, [tex]d = \sqrt{\left(2 - 5\right)^{2} + \left(-3 - 1\right)^{2}}=5.[/tex]


Related Questions

on a piece of paper, graph y=3/4x-3 use the graph to find the x-intercept of the line

Answers

The x-intercept of the line is (4, 0)

How to find the x-intercept of a line

The x-intercept of a line is the point where the line crosses the x-axis. Given the equation below:

y=3/4x-3

The x-intercept occurs at the point where y = 0. Substitute:

0 = 3/4x - 3

3/4x  = 3

3x = 12

x = 4

Hence the x-intercept of the line is (4, 0)

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What Is The Formula To Calculate Total Surface Area??

Answers

Answer:

you need to calculate the areas for each side of the figure and then add it all up

Step-by-step explanation:

adding all the areas on the surface: the areas of the base, top, and lateral surfaces (sides) of the object.

1. What is the area of the polygon? Show your work. ​

Answers

area= (#sides • length of 1 side • apothem{that line}) divided by 2

area = (6 • 4 • 8) = 192
area = 192/2
area = 96

i hope this is correct, but it at least gives you something

Solve the following quadratic by
completing the square.
y = x² + 4x - 2
X
x = [?] ± √ [ ]
Please help me

Answers

Answer:

x = -2+- sqrt(6)

Step-by-step explanation:

Using completing the square, let x^2+4x-2 = 0 and solve the steps to get the answerx^2 + 4x - 2 =0

add 2 to both sides to get x^2 + 4x = 2

then add 4 to both sides to get x^2 + 4x + 4 = 6

Get the left hand side to the square formate: (x+2)^2 = 6

then simplify x+2 = sqrt(6) or x+2 = -sqrt(6)

so x = sqrt(6) - 2 or x = -sqrt(6) -2

PLEASE HELP ME :)
At a track meet, you time a friend running 100 m in 11.00 seconds. The officials time her as well. You find that you have an error of 3.09%. What are the two possible official times your friend ran the 100 meters?

Answers

Answer:

sorry but i need the answer too pls answer the question

Help! I need to finish but I'm stuck! Will give brainliest!
The shaded figure below is composed of a trapezoid and a semicircle on a coordinate plane.



Which of the following expressions represents the area of the shaded figure?

2(18 + π)
2(12 + π)
4(9 + 2 π)
8(3 + π)

Answers

Answer:

2(12 + π)

Step-by-step explanation:

This will get you about 30and even by just counting squares you will get the closest to this answer.

A line with a slope of -2 passes through the point (3,-1). Which of the following is the equation of the
line?

Answers

Answer:

C.) y = -2x + 5

Step-by-step explanation:

The general structure of an equation in slope-intercept form is:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept.

You were given the value of "m" (-2). You were also given an "x" variable and "y" variable from a point (3,-1). You can plug these variables into the equation and simplify to find "b".

m = -2        x = 3       y = -1

y = mx + b                         <---- General structure

y = -2x + b                         <---- Plug -2 in for "m"

-1 = -2(3) + b                      <---- Plug "x" and "y" values in from point

-1 = -6 + b                          <---- Multiply -2 and 3

5 = b                                  <---- Add 6 to both sides

Therefore, the equation of the line is:

y = -2x + 5

You have been given data about gas prices in 15 states. Comparing the two data sets below, what does the larger mean and median say about gas prices in 2022 compared to gas prices in 2018?

Gas Prices in 2018 Gas Prices in 2022
Max: $2.42

Min: $2.03

Mean: $2.098

Median: $2.06

Mode: $2.04

Variance: 0.0121

Standard Deviation: $0.11

Max: $5.87

Min: $4.48

Mean: $4.83

Median: $4.72

Mode: $4.72

Variance: 0.0142

Standard Deviation: $0.38

Answers

Comparing the two data sets shown below

What is standard deviation and variance?

Variance is the average squared deviations from the mean, while standard deviation is the square root of this number.

Both the mean and the median can be used to describe where the “center” of a dataset is located.

So, the mean of data in 2022 is more than mean of data in 2018.

It’s best to use the mean when the distribution of the data values is symmetrical and there are no clear outliers.

As the variance of 2022 more than in variance in 2018.

A high variance indicates that the data points are very spread out from the mean, and from one another.

As the standard deviation of 2022 more than in standard deviation in 2018.

The high standard deviation indicates data are more spread out.

The bigger the range, the more spread out the data.

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i need this done in 20 min please help asap

Answers

Answer:

the second one

Step-by-step explanation:

just looking at the y values you get

-24y + 32y so that will give u +8y , there is only one answer with that

For positive acute angles A and B, it is known that sin A = 24/25 and cos B = 11/61
Find the value of cos(A + B) in simplest form

Answers

Answer:

Rounded to 0.42. Not rounded: 0.41729656785

Step-by-step explanation:

24/25 = 0.96

11/61 = 0.180327869

Add those together.

Answer for that: 1.14032787

Find the cos for the answer.

Which is 0.41729656785 to 0.42

The arm span and foot length were both measured (in centimeters) for each of 20 students in a biology class. The computer output displays the regression analysis.



Which of the following is the best interpretation of the standard deviation of the residuals?

The typical arm span is 161 centimeters.
The typical foot length is 16.1 centimeters.
The typical distance between the observed and predicted arm spans is 1.61 centimeters.
The typical distance between the observed and predicted foot lengths is 1.61 centimeters.

Answers

Answer:

D

Step-by-step explanation:

The correct answer should have a 63%.

It's probably D. The terminology is a little confusing.

The equation of the output looks like:

-7.611 + .186(x) = y

x --> Arm span

y --> Foot span

The linear relationship is formed with the armspan.

PotrzebnaPomoc!
Mam nietypowe pytanie, ale jak się liczy objętość graniastosłupa, to na końcu zawsze jest do sześcianu?
W sensie jak mamy jakiś zadanie np. Prostopadloscian o wymiarach 2cm X 1dm X 5mm (2cm X 10cm X 0,5), to wyjdzie na 10cm, ale do trzeciej. I czy w każdym graniastosłupie wyjdzie do sześcianu na końcu? W każdym tego typu zadaniu? Proszę o pomoc, bo ważne, jak ktoś nie wie, to niech nie pisze, pls

Answers

Zgadza się. Objętość jest miarą trójwymiarową, którą się mierzy z m³, dm³, cm³, mm³, itd.

Susan collects softball cards in her collection she had 128 she decides to gives 3 eights

Answers

Answer:

need more information to answer for you.

Step-by-step explanation:

A survey was conducted by a pet store to find the number of cats and dogs owned by people in a neighborhood block. The results of the survey are represented in this Bar Graph. Which statement describes why the Bar Graph is not properly drawn? A. The vertical scale is too high. B. The vertical scale should not start at zero. C. The bars are not the same width. D. The bars are not the same height.

Answers

The Anwser is D of maybe C

Answer: C

Step-by-step explanation:

How can I solve this math problem.

Answers

Answer:4.6

Step-by-step explanation:

Use the pythagorean theorem, then find the square root using your calculator.

What is the value of 6 in 640.31?

Answers

Answer:

hundred

Step-by-step explanation:

Answer:

600

Step-by-step explanation:

HURRY!!!!

If p -> q is true and q is true, then p is ____ true.
-always
-sometimes
-never
If p is true and q is true, then ~ p -> ~ q is ____ true.
-always
-sometimes
-never

Answers

Sometimes. p ⇒ q is true if both p and q are true, or whenever p is false.

Always. ¬ p ⇒ ¬q is true if ¬p and ¬q are both true (which means p and q are both false), or whenever ¬p is false (p is true).

Please answer asap!!!!!! I Inserted photo. Thankssss

Answers

Answer:

2nd option

Step-by-step explanation:

using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

given

6xy³z × 3x²yx²

= 6 × 3 × x × x² × x² × y³ × y × z

= 18 × [tex]x^{(1+2+2)}[/tex] × [tex]y^{(3+1)}[/tex] × z

= 18[tex]x^{5}[/tex][tex]y^{4}[/tex]z

Find the value of x.

Answers

Answer:

Step-by-step explanation:

Remark

What you don't know and what makes the problem confusing, is that where to the given arcs start and end. So I am going to say that both arcs start from E and 119 ends at D, and 174 ends at F which means that the arc FD is not known, but it is not hard to find.

The total number of degrees from beginning to end is 360 degrees. The formula for finding FD is

Formula

FD = 360 - (174 - 119)

The formula for x is (ED - FD)/2

Solution

Arc FD = 360 - (174 - 119)

Arc FD = 67

So x = (119 - 67) / 2

x = 52 /2

x = 26

50 PTS PLS HELP I'M BEING TIMED!!!!!!!! MY TEACHER IS CRAZY NO SCAMS


Determine the cost of 2 years at a community college or 4 years at a state college (in your home state or out of state). Explain the cost of your chosen college in 4-6 sentences. Remember, the cost of college includes: Tuition Room and board Books/supplies Gas Spending money

Answers

In Colorado, the estimated total in-state college tuition cost for two years is $83,832. It is to be noted that this is inclusive of other factors as shown in the computation below.

What is the calculation for the above figure?

Given the following:

Base Tuition
(Note that this increases by 20% every year) = $12, 650

Off campus Room and Board  - $11, 440

Housing - $5,976

Meals - $ 6, 450

Living Expenses - 1,670

Books and Supplies - $1200

The summary thus is equal to

Base Tuition = $12, 650 * 2 * 1.2

Off campus Room and Board  - $11, 440 * 2

Housing - $5,976  * 2

Meals - $ 6, 450 * 2

Living Expenses - 1,670 *2

Books and Supplies - $1200 *2

This results in:

Base Tuition                               = $30,360

Off campus Room and Board  = $22,880

Housing                                      = $11, 952

Meals                                          = $ 12900

Living Expenses                        = $ 3,340

Books and Supplies                  = $2,400

Grand Total                               = $ 83,832.

Note that the base tuition was estimated to increase at the rate of 20% every year.

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True or False

1. The data given in interval is a grouped data.
2. The specific point where the upper and lower limit meets is the data value.
3. The gap between each data value is called interval.
4. The number of times an observation occurs or appears in a data set is called frequency distribution table.
5. The lowest number in the class interval is the upper limit.​

Answers

Answer:

true

false

true

false

true

I need help what's the answer ​

Answers

Answer:

[tex]y = 2x - 5[/tex]

Step-by-step explanation:

slope-intercept form is [tex]y = mx + b[/tex] with [tex]m[/tex] being the slope of the line and [tex]b[/tex] being the y-intercept (where the line touches the y-axis)

First we can find [tex]m[/tex] using the formula for slope, [tex]\frac{rise}{run}[/tex] (or [tex]\frac{y_1 - y_2}{x_1 - x_2}[/tex]), which is the change in y over the change in x.

We can use any points on the line, but I am going to use [tex](4, 3)[/tex] and [tex](3, 1)[/tex] for this example. We can now find the slope.

[tex]\frac{3-1}{4-3} = \frac{2}{1}[/tex]

This means your slope is 2, which means [tex]m[/tex] is 2.

Finding the y-intercept is easy. This line crosses the y-axis at -5, and so [tex]b[/tex] is -5.

Now we can plug in the values into our original equation to get the equation of the line.

[tex]y = 2x - 5[/tex]

That is the answer

- Kan Academy Advance

4 < x < 7
Please give me a proper explanation.

Answers

An explanation for 4 < x < 7 is that 4 is less than and x is less than 7.

How to explain the information?

The mathematical expression that is given is 4 < x < 7. It should be noted that this implies that 4 is less than and x is less than 7.

In this case, the appropriate values that can fit x in this situation will be 5 and 6.

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There is £80 in a pot which is shared out amongst 3 people. Anne gets £20 Mark gets £35 and Ben gets £25. What ratio of the money do all of the people get?

Answers

Ratio of Anne : Mark : Ben = 20 : 35 : 25
= 4 : 7 : 5 ( total 16 parts )

Anne = 4/16 x £80 = £20

Mark = 7/16 x £80 = £35

Ben = 5/16 x £80 = £25

The construction crew for a new house will dig a hole in the shape of a rectangular prism for the house's foundation. the hole will be 48ft long, 39ft wide, and 9ft deep. to haul away all of the dirt from the hole, a dump truck will take trips to a nearby landfill. the crew knows the amount of dirt the truck can hold each trip in cubic yards.

(a) find the volume of dirt that will be hauled away in cubic yards. use the table of conversion facts, as needed.
____yd3???

(b) each trip, the truck can haul away 11yd3 of dirt. to save gas, the crew wants to take as few trips as necessary to haul all of the dirt away. since all of the dirt needs to be hauled away, the crew might have to take a partial load for one trip. how many trips are needed to haul away all of the dirt? count each trip it makes the same, even if the truck isn't full.
_______trips???


c) if it costs $1175 for each trip that the truck makes, how much will it cost to haul away all the dirt?

$____ ???

Answers

The volume of the dirt hauled away is 624 yards³The number of trips needed to haul away the dirt is 57 tripsThe total cost of the trips is $66,975.What is the total cost?

The first step is to convert feet to yards.

1 feet = 1/3 yards

48 / 3 = 16 yards 39 / 3 = 13 yards 9/3 = 3 yards

Volume of the dirt hauled away = 16 x 13 x 3 = 624 yards³

Number of trips needed to haul away the dirt = 624 / 11 = 56. 7 = 57 trips

Total cost = 57 x 1175 = $66,975

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Part D
What is the difference of the earnings of movies C and D for that week?

Answers

The difference of the earnings of movies C and D for that week is $10,652,270.46 .

What is the difference in earnings?

Subtraction is used to determine the difference between two or more numbers.

The difference = earnings of movie D - earnings of movie C

$34.311,887.98 - 23,659,617.52 = $10,652,270.46

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If f(x) = 2x2 + 3 and g(x)=x2-7, find (f- g)(x).

Answers

The difference of the given functions is x^2 + 10

Difference of functions

Given the following functions

f(x) = 2x^2 + 3 and

g(x)=x^2-7

Take the difference

(f-g)(x) = 2x^2 + 3 - (x^2 - 7)

(f-g)(x) = 2x^2 - x^2 +3 + 7

(f-g)(x) = x^2 + 10

Hence the difference of the given functions is x^2 + 10

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Need help! :(((((((((((((((((((((((((

Answers

Answer:

[tex] \frac{1}{8} [/tex]

Step-by-step explanation:

it's so simple dude

As an estimation we are told £3 is €4.
Convert £10.50 to euros.

Answers

£10.50=10.01 euros
Ok

The senior classes at High School A and High School B planned separate trips to Yellowstone National Park. The senior class at High School A rented and filled 12 vans and 11 buses with 576 students. High School B rented and filled 4 vans and 9 buses with 384 students. Each van and each bus carried the same number of students. How many students rode in each van?

Answers

Answer:

15 students

Step-by-step explanation:

To solve this question, we can set up a system of equations.

Let's start by naming our variables.

We can call the number of students that rode in a van "x".

Then, let's name the number of students that rode a bus "y".

Knowing this, we can create two equations and then solve.

For High School A, the equation would be as follows:

12x+11y=576

For High School B, it would be:

4x+9y=384

What you have to do now, is to eliminate one of the variables.

I'm going to choose to do it with elimination, but substitution also works.

I'm going to multiply the second equation by 3, so that we can subtract the equations to eliminate the x variable.

3(4x+9y=384)

Since we're multiplying 3 to both sides, the equation will remain true.

12x+27y=1152

Now, let's subtract the other equation from this one:

  12x+27y=1152

-  12x+11y=576

_____________

0x+16y=576

Our new equation is:

16y=576

Divide both sides by 16 to isolate y

y=36

This means that 36 students rode in each bus.

Let's now use this info to solve for x.

We can do this by plugging in 36 for y.

4x+9y=384

4x+9(36)=384

Simplify

4x+324=384

Subtract 324 from both sides

4x=60

Divide both sides by 4

x=15

This means that 15 students rode in each van.

As I mentioned earlier, this could have also been solved by substitution.

You would have had to isolate one variable so that one of the equations read x= something or y= something

After that, you plug that in to the other equation so you're left with only one variable.

You then simplify, and plug the value back in for the other variable.

Given the nature of this question, that would have involved working with decimals, so I chose elimination instead.

Please let me know if you have any questions!

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Here, we have given that,

The senior classes at High school A and High school B planned separated trips. The number of bus and vans rented by high school class A are 12 vans and 11 buses. The number of bus and vans rented by high school class B are 4 vans and 9 buses. The total number of students in class A are 576 students. The total number of students in class B are 384 students .

Let the number of students in van be 'x' and number of students in bus be 'y' .

According to the question,

Linear equation for class A

[tex]\sf{ 12x + 11y = 576 ...eq(1)}[/tex]

Linear equation for class B

[tex]\sf{ 4x + 9y = 384 ...eq(2) }[/tex]

Subtract eq(2) from eq(1) :-

[tex]\sf{ 12x + 11y -( 4x + 9y) = 576 - 384 }[/tex]

[tex]\sf{ 12x + 11y - 4x - 9y = 192 }[/tex]

[tex]\sf{ 8x + 2y = 192 }[/tex]

[tex]\sf{ 2(4x + y) = 192 }[/tex]

[tex]\sf{ 4x + y = {\dfrac{192}{2}}}[/tex]

[tex]\sf{ 4x + y = 96}[/tex]

[tex]\bold{ y = 96 - 4x ...eq(3) }[/tex]

Subsitute eq (3) in eq(1) :-

[tex]\sf{ 12x + 11( 96 - 4x) = 576 }[/tex]

[tex]\sf{ 12x + 1056 - 44x = 576 }[/tex]

[tex]\sf{ 12x - 44x = 576 - 1056}[/tex]

[tex]\sf{ -32x = - 480 }[/tex]

[tex]\sf{ x = {\dfrac{-480}{-32}}}[/tex]

[tex]\bold{ x = 15 }[/tex]

Thus, The value of x is 15 .

Now, subsitute the value of x in eq(2) :-

[tex]\sf{ 4(15) + 9y = 384 }[/tex]

[tex]\sf{ 60 + 9y = 384 }[/tex]

[tex]\sf{ 9y = 384 - 60 }[/tex]

[tex]\sf{ 9y = 324 }[/tex]

[tex]\sf{ y = {\dfrac{324}{9}}}[/tex]

[tex]\bold{ y = 36 }[/tex]

Thus, The value of y is 36

In this question, we have taken x and y are the number of students in each van and a bus.

Therefore,

The number of students in each van = 15

The number of students in each bus = 36

Hence, The number of students rode in each van are 15 .

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