Find the distance between A(2,5) and B(-2,9)

Answers

Answer 1

Answer:

The answer is

[tex]4 \sqrt{2} \: \: or \: \: 5.656 \: \: \: units[/tex]

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{( {x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A(2,5) and B(-2,9)

The distance between them is

[tex] |AB| = \sqrt{ ({2 + 2})^{2} + ({5 - 9})^{2} } \\ = \sqrt{ {4}^{2} + ({ - 4})^{2} } \\ = \sqrt{16 + 16} \\ = \sqrt{32} \\ [/tex]

We have the final answer as

[tex]4 \sqrt{2} \: \: or \: \: 5.656 \: \: \: units[/tex]

Hope this helps you


Related Questions

Rafiq compares the
expressions 4 X 8 and 8 X 12. He says that 8 is twice
as much as 4, so 4 X 8 must be twice as much as 8 X 12.
Correct his statement, and explain his error.
HELLLPPPPP

Answers

Answer:

Hey there!

Rafiq's error was that the other number is also changing. He had 4 x 8 and if he had 8 x 8, that would be twice as much, but he used 8 x 12 instead, and  12 is not 8.

Let me know if this helps :)

The other number that was also changing was Rafiq's mistake if Rafiq compares the expressions 4x8 and 8x12.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that are +, -, ×, and ÷.

It is given that:

Rafiq compares the expressions 4x8 and 8x12

The correct statement is for Rafiq compare the expressions 4 X 8 and 8 X 12

The fact that the other number was also changing was Rafiq's mistake.

Rafiq had 4 × 8, therefore 8 x 8 would have been twice as much; however, he utilized 8 x 12, even though 12 is not equal to 8.

Thus, the other number was also changing was Rafiq's mistake if Rafiq compares the expressions 4x8 and 8x12.

Learn more about the arithmetic operation here:

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What symbol u use with this?

Answers

Answer:

18-14=4

4 more sandwiches.

Sara buys 1 pair of jeans for $20 and 5 shirts .The total of her purchase was $55.Witch equation models the scenario? a)1+5=20x b)20+5x=55 c)20-5x=55 d)1x+5=55

Answers

Answer:

the answer is b)20+5x=55

Write the following number in standard decimal form. nine and ninety-five thousandths​

Answers

Answer:

9.095 is the answer.

Step-by-step explanation:

whats the answer to this​

Answers

Answer:

D

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Domain is the furthest X value while Range is the furthest Y value.

On side of a square measures 9 centimeters. Find the area of the square

Answers

Answer:

I think it is 81cm squared

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \: 81 \: {cm}^{2} }}}}}[/tex]

Step-by-step explanation:

Given , length of a square = 9 cm

We know that, all the sides of the square are same.

Finding the area of the square

[tex] \boxed{ \sf{area \: of \: a \: square = {l}^{2} }}[/tex]

[tex] \dashrightarrow{ \sf{ \: area \: of \: a \: square \: = \: {(9 \: cm)}^{2} }}[/tex]

[tex] \dashrightarrow{ \sf{area \: of \: a \: square \: = 9 \: cm \: \times \: 9 \: cm}}[/tex]

[tex] \dashrightarrow{ \sf{area \: of \: a \: square = 81 \: {cm}^{2} }}[/tex]

Hope I helped!

Best regards! :D

3.(4+5) is how much more than 3.4+5?

Answers

Answer:10 more

Step-by-step explanation:

distributive property so 3*4+3*5 so 12 an 15 or 27.  3*4+5 is 12+5 so 17  27-17 is 10

Answer:

4

Step-by-step explanation:

3(4+5) = 12

3.4+5 = 8.5

12 - 8.5 = 7.5

hope this helps you

It's looking for the solved answer, not the simplified expression (no variable in final answer)

Answers

Answer:

BC = 144 units

Step-by-step explanation:

BC = BD + DC , substitute values

8x = 4x + 10 + 3x + 8 = 7x + 18 ( subtract 7x from both sides )

x = 18

Thus

BC = 8x = 8 × 18 = 144 units

There are 6 squares and 2 circles. What is the simplest ratio of circles to total shapes?

Answers

Add to find the total number of shapes.

6 + 2 = 8

Circles to total amount of shapes -> 2:8

Divide 2 to both sides.

2/2:8/2

1:4

Therefore, the answer is 1:4

Best of Luck!

The simplest form for 6 squares and 2 circles is 3:1

The diameter of the circle is 6 miles. What is the area of the circle? Use 3.14 for II.​

Answers

Answer:

28.26 miles

Step-by-step explanation:

Area= pi times radius squared

diameter is twice the radius so 6÷2=3miles

3 miles is the radius

So A= 3.14 × 3²

= 28.26

Formula: A = πr²

Divide to find the radius.

6 / 2 = 3

Solve using the values we are given and solved for.

A = π(3)²

A = 9π

A ≈ 28.26

Best of Luck!

The sum of 15 and a number is equal to 85. What is the number

Answers

Answer:

The sum of 15 and a number is

85 - 15 = 70

Sam has 106 dollars. And his friend Max has 10 times as many dollars as Sam does. How much does Max have?​

Answers

It’s 1,600 because 100times 10 is 1000 and 6 times 10 is 60 so 106 times 10 you just add 2 zeros and you get 1,600

The value of a car is $22,000. It loses 13.9% of its value every year. Find the approximate monthly decrease in value. Round your answer to the nearest tenth.

Answers

Answer:

.200 because 22,000 % by 7 is 1540 which you divide by 10,000

Step-by-step explanation:

hope this helps

The approximate monthly decrease in value is $255.2

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100.

Given,

Value of the car = $22000

Loss percentage of value per year = 13.9%

Loss percentage of value per month =[tex]\frac{13.9}{12}[/tex] =1.16%

Decrease in value per month = [tex]22000(\frac{1.16}{100})[/tex]= $255.2

Hence, the approximate monthly decrease in value is $255.2

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Choose the value for x that solves this equation. 0 = -2x + 6

Answers

Answer:

x = 3

Step-by-step explanation:

Hi there !

0 = - 2x + 6

2x = 6

x = 6 : 2

x = 3

Good luck !

Pleaseeeee helppppp with this math

Answers

Answer:

Y=75 bring a linear angle

Answer:

Y is 75 by linear pair

hope it's help h

Write a
as a repeating decimal.
Write 2/5 as a repeating decimal.

Answers

Answer:

0.4

Step-by-step explanation:

2/5 = 4/10

4/10 = 0.4

2/5 is not a repeating decimal.

Hope This Helps :)

2/5 =4/10
4/10=0.4
So 2/5 is not a repeating decimal

0.2(10−5c)=5c− 16 pls help

Answers

The answer is C = 3

Answer:

c=3

Step-by-step explanation:

if k=7 than 4k-2= what

Answers

Answer:

26

Step-by-step explanation: I'm pretty sure its 26 because if k = 7 then 4 times 7 equals 28. Then you subtract 2. That's how I got 26.

Answer:

26

Step-by-step explanation:

[tex]4k-2\\k= 7\\[/tex]

Substitute 7 for k into the given equation

[tex]4(7)-2\\\\=28-2\\\\=26[/tex]

What's the difference between 9 times a number and 4 in an algebraic expression.

Answers

Answer:

9*4 or 9 into 4

Step-by-step explanation:

Does (-6)2 have a value less than zero?

Answers

Answer:

yes it does, -6x2= -18

Step-by-step explanation:

6) Marcy gave Juanita as many dimes as Juanita had. Then Juanita gave Marcy as many dimes as Marcy had left. Juanita now had 26 dimes and Marcy had 20 dimes. Originally, Marcy had( )dimes.

Answers

Answer:

0

Step-by-step explanation:

The original amount of dimes Marcy had before sharing with Jaunita is 52.

What is the solution to the word problem about dimes?

Let's break down the given information step by step to determine the original number of dimes Marcy had.

Marcy gave Juanita as many dimes as Juanita had.

After this transaction, Juanita now has 26 dimes, and Marcy has x - 26 dimes, where x is the original number of dimes Marcy had.

Juanita gave Marcy as many dimes as Marcy had left.

After this transaction, Marcy now has 20 dimes, and Juanita has 26 - 20 = 6 dimes remaining.

From the above information, we can set up the following equation:

x - 26 = 20 + 6

Simplifying the equation:

x - 26 = 26

Adding 26 to both sides:

x = 52

Therefore, the original amount of dimes Marcy had is 52 dimes.

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-4x+5x combine like terms​

Answers

Answer:

1x

Step-by-step explanation:

Answer:

-20x

Step-by-step explanation:

A student has some $1 and $5 bills in his wallet. He has a total of 19 bills and that are worth $55. how many of each type of bill does he have

Answers

Answer:

y= 9 ( 5 dollars bill)

x=10 ( one dollar bill)

Step-by-step explanation:

let x be the one dollar bill and y the 5 dollar bill

x+y=19 ⇒ x=19-y

x+5y=55 ( solve by substitute x=19-y)

19-y+5y=55

4y=55-19

4y=36 ⇒ y=36/4

y= 9 ( 5 dollars bill)

x+y=19

x+9=19

x=19-9

x=10 ( one dollar bill)

check :

x+5y=55

10+5(9)=

10+45 = 55 dollars

5. A shipping service uses the weight of a package to determine its postage.
The charge is $3 for the first pound and $2 for each additional pound up to
5 pounds. What are the domain and range of the function?
3,0 <1
5, 1<x<2
f(x) = 7,2 <x<3
9,3 < x < 4
11,4 < x < 5​

Answers

You put in 3 to you piecewise function and 2 to your X value

The length of a rectangle is four times its width. If the perimeter of the rectangle is 60 yd, find its area.​

Answers

Answer:

23

Step-by-step explanation:

thgric7cuf j u gif dude jfcrcifcru u fug tu

I

Is x= -2 a solution to:
a.
7X = -1
b. X* 14 = -28

Answers

Answer:

Step-by-step explanation:

-2 x 14 = -28

b is the answer

A customer wants you to enlarge a photo to 2 3 4 234 its current height. The photo's current height is 3 1 4 314 inches. What should its enlarged height be, in inches? 6 6 3 16 6316 6 11 16 61116 7 8 15 16

Answers

Answer:

The question is not clearly stated, below is the clearly stated question and answer:

A customer wants you to enlarge a photo to 2 3/4 its current height. The photo’s current height is 3 1/4 inches. What should its enlarged height be, in inches?

Answer:

[tex]Enlarged\ height = 8\frac{15}{16}\ inches[/tex]

Step-by-step explanation:

[tex]current\ height\ =\ 3\frac{1}{4} = \frac{13}{4} \\ magnification\ factor = 2\frac{3}{4} = \frac{11}{4} \\Magnification (enlargement)\ =\ (magnification\ factor) \times (current\ height)\\Magnification\ =\ \frac{11}{4} \times \frac{13}{4}\\ Magnification\ =\ \frac{143}{16}[/tex]

Next, we will concert from the improper fraction to a mixed fraction:

when 143 is divided by 16, there will be 8 whole numbers and a remainder of 15, hence, the mixed fraction is:

[tex]\frac{143}{16} = 8\frac{15}{16}[/tex] (Alternatively, a scientific calculator can be used)

Therefore, enlarged height [tex]= 8\frac{15}{16}\ inches[/tex]

I _______ the test when I remembered the correct answer. A. completes B. completing C. had completed D. will complete

Answers

Answer:

D

Step-by-step explanation:

Hope this help u

Answer:

c

Step-by-step explanation:

I HAD COMPLETED the test when I REMEMBERED the correct answer.

(remembered is a past tense. Therefore it's more appropriate to use "had completed")

Adrian creates some paintings every month. The numbers below show how many paintings Adrian has completed each month for the last year. What is the median of the set of data? 4, 5, 2, 1, 0, 3, 2, 4, 3, 2, 7, 5 *

Answers

Given :

Number of paintings Adrian created each month for the last year are :

4, 5, 2, 1, 0, 3, 2, 4, 3, 2, 7, 5 .

To Find :

The median of the set of data .

Solution :

To find the median we should arrange the numbers in ascending order .

So , 0, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 7 .

Now , median for odd is the middle term but for even numbers it is the average of middle two terms .

So ,

[tex]Median =\dfrac{3+3}{2}\\\\Median =3[/tex]

Therefore , the median of the set of data is 3 .

Hence , this is the required solution .

What is the 8th term of this geometric sequence?
1, 3, 9, 27,...

Answers

Answer:

1*3*3*3*3*3*3=729. For each term you multiply the previous term by three.

Answer:

2187

Step-by-step explanation:

To find the 8th term, we can find and use the explicit formula.

The standard form of the explicit formula for a geometric sequence is:

[tex]x_n=a(r)^{n-1}[/tex]

Where a is the initial term, r is the common ratio, and n is the nth term.

From the sequence, we can see that the first term is 1, and each term is 3 times the previous term. Thus, the common ratio is 3.

Substituting these into our equation, we will have:

[tex]x_n=1(3)^{n-1}\\x_n=(3)^{n-1}[/tex]

So, to find the 8th term, substitute 8 for n:

[tex]x_8=(3)^{8-1}[/tex]

Subtract:

[tex]x_8=(3)^7[/tex]

Evaluate:

[tex]x_8=2187[/tex]

So, the 8th term is 2187.

And we're done!

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