Which expression represents the distance between the points (11, 4) and (5,8)?

Answers

Answer 1

Answer:

[tex]\displaystyle d = 2\sqrt{13}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (11, 4) → x₁ = 11, y₁ = 4

Point (5, 8) → x₂ = 5, y₂ = 8

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]:                                                       [tex]\displaystyle d = \sqrt{(5-11)^2+(8-4)^2}[/tex][√Radical] (Parenthesis) Subtract:                                                                 [tex]\displaystyle d = \sqrt{(-6)^2+(4)^2}[/tex][√Radical] Evaluate exponents:                                                                    [tex]\displaystyle d = \sqrt{36+16}[/tex][√Radical] Add:                                                                                               [tex]\displaystyle d = \sqrt{52}[/tex][√Radical] Simplify:                                                                                         [tex]\displaystyle d = 2\sqrt{13}[/tex]

Related Questions

What is an
equation of the line that passes through the points (8, 5) and (-6, 5):

Answers

Answer:

y=8

Step-by-step explanation:

formula of a line equation

y=MX+c

m=Y2-Y1÷X2-X1

m=5-5÷-6-8

m=0÷-14

m=0

substitution

using (8,5)

8=0(5)+c

8=c

how to get the answer for 2 3/4 gallons and 5/8 to equal 1 23/32

Answers

Answer:

jhwgehebf

Step-by-step explanation:

bwjsfehoal topu

5% of a number is 23

1% percent of the same
number is 6.4

Work out 16%​ of the number

Answers

Answer:

73.6

Step-by-step explanation:

Let the number be m

so, 5% × m = 23

5 m = 23100

m = 23 × 100 5

m = 460

16% of that number

16 × 460 = 73.6100

16% of the number is 73.6

When 2 times a number is increased by 9, the answer is the same as
when 30 is decreased by the number. Find the number. HELP ME

Answers

Answer:

its 7

Step-by-step explanation:

why did u delete my answer if its right?

how many terms of arithmetic sequence 3;11;19.... will add up to 1580​

Answers

Answer:1.58

Step-by-step explanation:

The number of terms in the sequence will be 20 adds up to 1580​.

What is an arithmetic sequence?

An arithmetic sequence is defined as an arrangement of numbers that is in a particular order.

The arithmetic sequence is given in the question, as follows:

3; 11; 19....

We have to determine the number of terms of the sequence will add up to 1580​

The sum of an arithmetic sequence is the sum of the first n terms of the sequence as

Sₙ = n/2(2a+(n−1)d)

In arithmetic, here a₁ is the first term and sequence d represents the common difference.

As per the question,

d = 11 - 3 = 8, a = 2 and S = 1580

Substitute the known values in the formula, and solve for n

1580 = n/2(2x3+(n-1)8)

1580 x 2 = n(6 + 8n - 8)

Solving the above equation, we get

n = 20, and -79/4

Thus, the number of terms in the sequence will 20.

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marissa rode her bike to the park and back home. halfway to the park, she stopped at the library. she lives 1 3/10 miles from the library. how many miles did marissa ride her bike in all?

Answers

Answer:

5 2/10 miles or 5 1/5 miles, if you need to reduce fractions

Step-by-step explanation:

The way they wrote this is kind of confusing. Home to library = 1 3/10 miles. That's halfway to the park, so the distance to the park is 1 3/10 + 1 3/10 = 2 6/10 miles.

Then she had to ride that same distance home, so add

2 6/10 + 2 6/10 = 4 12/10 = 5 2/10

If your teacher has you reduce fractions, then it's 5 1/5 miles.

The number of miles did  marissa ride her bike in all should be 5 2/10 miles or 5 1/5 miles.

Calculation of the number of miles:

Since

She lives 1 3/10 miles from the library.

So here the distance to the park should be

= 1 3/10 + 1 3/10

= 2 6/10 miles.

Now we basically add it

= 2 6/10 + 2 6/10

= 4 12/10

= 5 2/10

hence, The number of miles did  marissa ride her bike in all should be 5 2/10 miles or 5 1/5 miles.

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area of a circle is 254.34 cm2. What is the diameter of the circle, use 3.14.​

Answers

The area of a circle is:

Area = PI x r^2 ( r is the radius which is half the diameter)

Using the information in the problem:

254.34 = 3.14 x r^2

Divide both sides by 3.14:

81 = r^2

Take the square root of both sides:

r = 9

The diameter = 2r = 2(9) = 18 cm

diameter is 18 cm in length

A tile is 4 inches long.
If 4 tiles are placed sided by side, what would be the approximate total length in centimeters? (1 in 2.54 cm)
A
10 cm
B
16 cm
с
32 cm
D
40 cm

Answers

Answer:

D 40

Step-by-step explanatio x 4=

Read and answer each question: A hotel has 7 floors. The lobby, restaurant and gym are located on the ground floor. The guestrooms are on 1 stto 6 thfloors. 1. If there are 35 standard rooms on each floor, how many standard rooms are there? will mark as bralinst

Answers

There are 6 floor with guest rooms.

Multiply the number of floors by number of rooms per floor:

35 x 6 = 210 standard rooms.

In triangle ABC , M and N are midpoints of sides. If MN = 2x + 5 and BC = x2 − 2, find the possible lengths for MN.
A. 17
B. 6 and 2
C. 1 and 17
D. 2 and 34

Answers

Answer:

A.17

Step-by-step explanation:

The possible lengths for MN are 17 and 1, so the correct answer is C. 1 and 17

How to get the lengths

Since MN = 2x + 5 and BC = x^2 − 2, we can write the equation

[tex]2x + 5 = (1/2)(x^2 - 2)[/tex]

Solving for x, we get:

[tex]2x + 5 = (1/2)(x^2 - 2)[/tex]

[tex]4x + 10 = x^2 - 2[/tex]

0 = [tex]x^2- 4x-12[/tex]

0 = (x - 6)(x + 2)

This equation has two solutions: x = 6 and x = -2.

Substituting these values into the expression for MN, we find that MN can have two possible lengths:

MN = 2(6) + 5 = 17 or

MN = 2(-2) + 5 = 1.

Therefore, the possible lengths for MN are 17 and 1, so the correct answer is 17 and 1.

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¿cuantos pedasos de 1/8 de metro se pueden cortar de 4metros?​

Answers

Answer:

32 pedasos

Step-by-step explanation:

Cantidad de trozos = Metros totales de cable / Cantidad de metros de cada trozo

What fractions are the same

Answers

Ohhhhhh I get it I thought something else

Answer:

equivalent fractions

Step-by-step explanation:

When fractions have different numbers in them, but have the same value, they are called equivalent fractions. Let's take a look at a simple example of equivalent fractions: the fractions ½ and 2/4. These fractions have the same value, but use different numbers.

-3/4 × = 1/4 need Help to answer this question​

Answers

Answer:

x = -1/3

Step-by-step explanation:

step one - Simply both sides of the equation

step two - Multiply both side by 4/(-3)

Answer and solution and thank you for answer

Answers

Answer:

C is the answer not sure

Step-by-step explanation:


[tex] \sqrt{2536} [/tex]

Answers

Answer:

50.35

Step-by-step explanation:

50.35 STEP bsnsnakkskskskskkss

3. Complete the following as in the example:
723 = 7 hundreds + 2 tens + 3 units
a. 678 =
b. 5 021 =
C. 7 804 =
d. 6 300 =​

Answers

Step-by-step explanation:

a) 6 hundreds+ 7 tens+8 ones

b) 5 thousands+2 tens+1 ones

c) 7 thousand+8 hundreds+ 4 ones

d) 6 thousands+ 3 hundreds

Simplify the inequality
1/3 + 1/6 <= 1/x

Answers

Answer:

x ≤ 1/2

Step-by-step explanation:

the product of two consecutive integers is 90. Find the two integers then check your answer​

Answers

Answer:

9,10 or -10,-9

Step-by-step explanation:

Let call the first integer n and the second integer n+1 since they are consecutive.

Since the product of the integer is 90 set up this equation

[tex]n \times (n + 1)= 90[/tex]

[tex]n {}^{2} + n = 90[/tex]

Subtract 90 to get it on the left side

[tex] n {}^{2} + n - 90 [/tex]

Apply quadratic formula

[tex] - 1 + - \sqrt{ \frac{1 {}^{2} - 4(1)( - 90) }{2(1)} } [/tex]

[tex] - 1 + - \sqrt{ \frac{1 - ( - 360}{2} } [/tex]

[tex] - 1 + - \sqrt{ \frac{1 + 360 = 361}{2} } [/tex]

[tex] - 1 + - \frac{ \sqrt{361 = } 19}{2} [/tex]

The roots are n= -10 and 9. We can use either root but let use a positve root

We are taking the positve roots

Plug 9 as n into n+1

[tex]9 + 1 = 10[/tex]

or

[tex] - 10 + 1 = - 9[/tex]

Your friend arrives and placed pieces appropriately on the board. What percent of the checker board squares have pieces?

URGENT I WILL GIVE BRAINLIEST TO CORRECT ANSWER

Answers

Answer:

25% of the board is covered with checker pieces.

Step-by-step explanation:

Answer:

If it's just for the pieces shown, it's just 0.125 or 12.5%, but if it's saying to include both sides (even though the picture doesn't represent this), it's just 0.25 or 25%

Step-by-step explanation:

8/64 or 16/64

17 out of 20 lung deserves are curable; what is the percentage of lung diseases that are curable? Yes, but how did you get that answer

Answers

Answer:

85%

Step-by-step explanation:

This problem can be solved by dividing the number of cured cases by the total number of cases (17/20). In order to verify this you can see what number 20 can be multiplied in order to get 100 (5). You can then multiply this by 17 in order to get the number of cured cases out of 100 (the definition of percent)

Write each mixed number as a percent.

1. 1 4/5

Answers

Answer:

180%

Step-by-step explanation:

In the ______ market, corporations and governments typically issue bonds denominated in dollars and sell the to investors located outside the United States.

Answers

Corporates usually issue bonds dollar-denominated as well as sell them to investors based outside of the U.S throughout the Eurobond market.

Eurobond market:Investors, bankers, borrowers, as well as trading agencies participate in the Eurobond market by purchasing, selling, as well as transferring Eurobonds.The introduction of something like the euro as even the united European currency has sparked great interest throughout euro-denominated bonds; nevertheless, some commentators fear that new European Union taxation harmonization initiatives may reduce the bonds' value.

Thus the above solution is correct.

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Help needed with this as soon as possible

Answers

Answer:

1

Step-by-step explanation:

g(-3)=-2(-3)²+3(-3)

      =-18-9

      =-27

Which data set COULD NOT be represented by the box plot shown? es ) A) {12, 5, 10, 7, 8, 14, 7, 10, 4, 13,9} B) {8, 12, 7, 8, 4, 9, 10, 12, 6, 14, 13) 0) 14,513, 8, 8, 10, 9, 11, 12, 7.41 D) {6, 4.7.9.8, 8, 12, 10, 12, 13, 13}​

Answers

Answer: the answer is D

Step-by-step explanation: jus got it right on usa test prep :))

The data set which could not be represented by the box plot is

{6, 4, 7, 9, 8, 8, 12, 10, 12, 13, 13}​

Option D is the correct answer.

What is a median?

It is the middle value of the given set of numbers after arranging the given set of numbers in order.

We have,

From the box plot,

Median = 9

Lower quartile = 7

Upper quartile = 12

Maximum = 14

Minimum = 4

Now,

Arrange the number in order.

A)

{12, 5, 10, 7, 8, 14, 7, 10, 4, 13, 9}

= {4, 5, 7, 7, 8, 9, 10, 10, 12, 13, 14}

Median = 9

Lower quartile = 7

Upper quartile = 12

Maximum = 14

Minimum = 4

B)

{8, 12, 7, 8, 4, 9, 10, 12, 6, 14, 13)

= {4, 6, 7, 8, 8, 9, 10, 12, 12, 13, 14}

Median = 9

Lower quartile = 7

Upper quartile = 12

Maximum = 14

Minimum = 4

C)

{14, 5, 13, 8, 8, 10, 9, 11, 12, 7, 4 }

= {4, 5, 7, 8, 8, 9, 10, 11, 12, 13, 14}

Median = 9

Lower quartile = 7

Upper quartile = 12

Maximum = 14

Minimum = 4

D)

{6, 4, 7, 9, 8, 8, 12, 10, 12, 13, 13}​

= {4, 6, 7, 8, 8, 9, 10, 12, 12, 13, 13}

Median = 9

Lower quartile = 7

Upper quartile = 12

Maximum = 13

Minimum = 4

Thus,

{6, 4, 7, 9, 8, 8, 12, 10, 12, 13, 13}​ is not represented by the box plot.

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Calculate the monthly share of annual expenses and find the total monthly expenses.

Annual Expenses: $3,494.04

Living: $475.75

Fixed: $679.65

Monthly share of Annual:

Total Monthly Expenses:

Answers

Answer:

918,14

Step-by-step explanation:

3,494.04

679.65

= 918,14

pedro y louis tiene 30 cromos. louis le dice a pedro 'dame 8 cromos para tener los mismos que tu'
cuantos cromos tiene cada uno.

Answers

Answer:

Pedro tiene 23 cromos y Luis 7.

Step-by-step explanation:

Sabemos que Pedro y Luis tienen (entre ambos) 30 cromos.

Definamos:

P = número de cromos que tiene Pedro

L = número de cromos que tiene Luis.

Entonces P + L = 30

Y sabemos que si Pedro le da 8 cromos a Luis, entonces ambos van a tener la misma cantidad de cromos.

Cuando Pedro da 8 cromos, el va a tener P - 8 en total

Cuando Luis recibe 8 cromos, el va a tener L + 8 en total

Entonces: P - 8 = L + 8

Tenemos dos ecuaciones:

P + L = 30

P - 8 = L + 8

Esto es un sistema de ecuaciones, para resolverlo el primer paso es aislar una variable en una de las ecuaciones, yo voy a aislar P en la primera:

P = 30 - L

Ahora podemos reemplazar esto en la otra ecuación para obtener:

(30 - L) - 8 = L + 8

Y podemos resolver esto para L.

30 - L - 8 = L + 8

22 - L = L + 8

22 - 8 = L + L

14 = 2*L

14/2 = L

7 = L

Entonces Luis tiene 7 cromos, y reemplazando esto en cualquiera de las dos ecuaciones que teníamos originalmente podemos encontrar el valor de P.

P + L = 30

P + 7 = 30

P = 30 - 7 = 23

Pedro tiene 23 cromos.

54 is 60% of what number? Enter your answer in the box.


PLZ HELP I WILL GIVE BRAINLIEST

Answers

Answer:

90

Step-by-step explanation:

you do 54 ÷ 60% = 90

check:

60% of 90 is 54 .

can I have brainliest.

The Answer XX

The Other Person Shouldn't Have Answered You Said You'd Give Brainliest And Then You Turn Around And Say You Don't Know How You Are Messed Up That Is Sad You Can Tell You Only Wanted The Answer And I'm Not Giving You The Answer To Confirm It Your Messed Up And You Are Also SELFISH

And Go Ahead And Go Off On Me Ill bLaSt Yo AyAs

A new animal hospital is planning to purchase a total of 36 cages for dogs, cats, and
rabbits. They want to purchase the same number of cages for dogs as for cats, but only
one-fourth as many cages for rabbits. How many of each cage should they buy?

Answers

For simplicity’s sake:
D = dogs, C = cats, R = rabbits

Since the dogs and the cats are the same number, we can say C = D.

R = 1/4D

2D + 1/4D = 36

Combine like terms and get the same denominator

9/4D = 36

9D = 144

D = 16

Now we know that D is 16, so C must be 16 as well. That leaves us with 32 cages.

36 - 32 = 4 rabbit cages. To double check this, 1/4 of 16 does equal 4.

Final answer: 16 D, 16 C, 4 R

Number of dogs cages = 16

Number of cats cages = 16

Number of rabbits cages = 4

What is an expression?

Expression in math is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that;

For simplicity’s assume;

D = number of dogs cages, C = number of cats cages,

R = number of rabbits cages.

Since, The dogs and the cats cages are the same number,

We can say, C = D.

Only one fourth as many cages for rabbits,

So, we can formulate,

R = 1/4D

Since, A new animal hospital is planning to purchase a total of 36 cages for dogs, cats, and rabbits.

2D + 1/4D = 36

Combine like terms and get the same denominator;

9/4D = 36

9D = 144

D = 16

So,

Number of dogs cages = 16

Number of cats cages = 16

And, Number of rabbits cages = 36 - (16 + 16)

                                                = 36 - 32

                                                = 4

Thus,

Number of dogs cages = 16

Number of cats cages = 16

Number of rabbits cages = 4

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What percent of the shaded checker board squares do not have pieces?


VERY URGENT PLEASE

Answers

The 25% of the shaded checker board has pieces on it.

What percent of the shaded checker board squares do not have pieces?

To check that, we need to solve the expression below:

Percent = 100%*(# shaded squares with pieces)/(total # of shaded squares)

There are a total of 32 shaded squares, and in 8 of them we can see pieces, then we can replace these values in the formula above to get:

Percent = 100%*(8/32) = 25%

That is the percent of the shaded checker that has pieces.

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The difference between double a number and 4 is 16

Answers

Answer:

2x - 4 = 16

Step-by-step explanation:

'the difference' shows that its subtraction so u have to put a - in the equation

'double' means 2 and since you dont know the value of 'a number' you replace it with a variable like x. combine them and you get 2x

so far it should look like 2x -

4 is equal to 4 so just put a 4 in front of the subtraction sign

it'll look like 2x - 4 now

'is 16' basically means is equal to 16 so now ur equation should look like:

2x - 4 = 16

if you wanted to solve that u could add 4 to both sides then divide both sides by 2 and get x = 10

Answer:

x = 10

Step-by-step explanation:

2x - 4 = 16

2x = 20

x = 10

Hope that helps!

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