What is the distance between the points (6,2) and (1,-5)


PLEASE ANSWER QUICK

Answers

Answer 1

Answer:

[tex]\displaystyle d = \sqrt{74}[/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 (6, 2) → x₁ = 6, y₁ = 2

Point (1, -5) → x₂ = 1, y₂ = -5

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{(1-6)^2+(-5-2)^2}[/tex][Distance] [√Radical] (Parenthesis) Subtract:                                                 [tex]\displaystyle d = \sqrt{(-5)^2+(-7)^2}[/tex][Distance] [√Radical] Evaluate exponents:                                                   [tex]\displaystyle d = \sqrt{25+49}[/tex][Distance] [√Radical] Add:                                                                                [tex]\displaystyle d = \sqrt{74}[/tex]

Related Questions

What is 63x13
Me give brainliest
And thanks in advance

Answers

Answer:

819

Step-by-step explanation:

819 here u go :)))))))) have a good day

e Michael is working on the roof of his house. Michael is on the ground, standing 5 feet away from the house. A ladder touches the house at a point 20 feet above the ground, and the ground at Michael's feet. What is the approximate distance between Michael and the point where the ladder touches the house?​

Answers

Answer:

Step-by-step explanation:

25

A taxi company charges £5 standing charge and £1.50 per mile for a journey
Aman travels in a taxi for 12.2 miles.
What is the cost of his journey?​

Answers

Answer:

I believe its £18.30. If not sorry.

Step-by-step explanation:

12.2 * 1.50 = 18.30. 18.30 + 5 = 23.30

A glass contains 0.75 liters of solution. John uses 0.9 of the solution for his experiment ​

Answers

My throat crazyyyyyyyy

HELPP PLZZZZZZZZZZ tand thanks

Answers

8 ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

I need help with this whoever can get it right I will mark you brainlest

Answers

the answer is c. 72cm^2

for each section of the prism you multiply the length times the width and then add all of the numbers together to get 72
72cm^2!!!!! Your welcome

2 and 3? I need help please

Answers

Answer:

2: 7:10 3: 6:14

Step-by-step explanation:

There are 7 blue marbles and 10 are green

There are 6 circles and 14 hearts

Can someone please help me and explain I’ll mark brainliest

Answers

Part (a)

Answer:   x = -8

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

Work Shown:

2(x-1) = 3(x+2)

2x-2 = 3x+6 .... distribute

2x = 3x+6+2 .... adding 2 to both sides

2x = 3x+8

2x-3x = 8 .... subtracting 3x from both sides

-x = 8

x = -8 ..... multiply both sides by -1

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

Part (b)

Answer:  x = 5/11

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

Work Shown:

-4(2x-2) = 3(x+1)

-8x+8 = 3x+3 ..... distribute

-8x = 3x+3-8 .... subtract 8 from both sides

-8x = 3x-5

-8x-3x = -5 ... subtract 3x from both sides

-11x = -5

x = -5/(-11) .... divide both sides by -11

x = 5/11

In decimal form, this is approximately equal to 5/11 = 0.4545

What is the area of the parallelogram?​

Answers

Step-by-step explanation:

to find the area of a parallelogram multiply the base by the height. multiply so 8x4= 32. but thats not it, ill come back when i get it or ask a tutor

Answer:

A=bh

Step-by-step explanation:

The median number of part-time employees at fast-food restaurants in a particular city was known to be 18 last year. City officials think the use of part-time employees may be increasing. A sample of nine fast-food restaurants showed that seven restaurants were employing more than 18 part-time employees, one restaurant was employing exactly 18 part-time employees, and one restaurant was employing fewer than 18 part-time employees. Can it be concluded that the median number of part-time employees has increased

Answers

Answer:

It can be concluded that the median number of part-time employees has increased hence we will reject the null hypothesis ( H0 : p = 0.5 )

Step-by-step explanation:

Test using  α = 0.5 to determine whether the median number of part-time employees has increased

number of restaurants with more than 18 part-time employees = 7  ( + sign )

number of restaurants with less than 18 part-time employees = 1 ( - sign )

number of restaurants with exactly 18 part-time employees = 1

first step : ( state the null and alternate hypothesis )

Null hypothesis : ( H0) : median ≤ 18

Alternate hypothesis : ( Ha ) : median ≥ 18

The size of the sample ( n ) can be considered to be 8 because

number of restaurants with more than 18 part-time employees = 7  ( + sign )

number of restaurants with less than 18 part-time employees = 1 ( - sign )

Hence the actual hypothesis that should be tested will be :

H0 : p = 0.5

Ha : p ≠ 0.5

Next apply the binomial distribution to determine the number of + signs

= nP = 8 ( 0.5 ) = 4 + signs ( right tailed test i.e. upper tail of the binomial distribution )

determine the P ( ≥ 7 ) + signs in order to obtain the p-value of this right tailed test ( using the binomial probability table )

P ( ≥ 7 )+ signs  = p(7) +signs  + p(8)+signs

                         = 0.0313 + 0.0039 = 0.0352

Hence the P-value = 0.0352  is < 0.05  hence we will reject the Null hypothesis ( H0 : p = 0.5 )

hence It can be concluded that the median number of part-time employees has increased

The true statement is that, the median number of part-time employees has increased

The given parameters are:

[tex]\mathbf{n_1 = +7}[/tex] ---- restaurants with more than 18 part-time employees[tex]\mathbf{n_2 = -1}[/tex] ---- restaurants with less than 18 part-time employees [tex]\mathbf{n_3 = 1}[/tex] ---- restaurants with exactly 18 part-time employees

Using a 0.5 test of significance, the null and the alternate hypotheses are:

Null hypothesis : [tex]\mathbf{H_0 : p= 0.5}[/tex]Alternate hypothesis : [tex]\mathbf{H_a : p \ne 0.5}[/tex]

The sample size (n) is calculated using

[tex]\mathbf{n =n_1 -n_3}[/tex]

So, we have:

[tex]\mathbf{n =7 --1}[/tex]

[tex]\mathbf{n =8}[/tex]

The mean of the distribution is:

[tex]\mathbf{\bar x = np}[/tex]

This gives

[tex]\mathbf{\bar x = 8 \times 0.5}[/tex]

[tex]\mathbf{\bar x = 4}[/tex]

Using the right tailed test, we calculate the probability that a restaurant has more than 7 part-time employees.

This is calculated as:

[tex]\mathbf{P(x \ge 7+) = P(x = 7+) + P(x = 8+)}[/tex]

Using the binomial probability table, we have:

[tex]\mathbf{P(x \ge 7+) = 0.0313 + 0.0039 }[/tex]

[tex]\mathbf{P(x \ge 7+) = 0.0352}[/tex]

By comparison,

When the p-value is less than the level of significance, then we will reject the Null hypothesis

Hence, it can be concluded that the median number of part-time employees has increased

Read more about probabilities at:

https://brainly.com/question/6476990

Help me with my math

Answers

Answer:

The first one is correct

Step-by-step explanation:

-3<1-1 - 3<0 correct

-3>1 it is not correct

The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.

Answers

Answer:

Rate of change = $25 per day

Step-by-step explanation:

Since, rate of change of the data given in the table is constant graph will be a linear graph.

Rate of change of the line passing through two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

Rate of change = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

From the table given,

Graph passes through two points (3, 75) and (4, 100)

Rate of change = [tex]\frac{100-75}{4-3}[/tex]

                          = 25

Here rate of change defines the change in cost per day.

Distributive property
9(2n/1)

Answers

9x2n 9x1 = 18n/9 = 2n

To distribute, multiply 9 times 2n plus 9 times 1.

9*2n+9*1

18n+9 is your final answer.

Step-by-step explanation:

solve the following system of equations using the substitution method
x=2y
2x+5y=9​

Answers

Answer:

y=1

x=2

(2,1)

Step-by-step explanation:

x=2y

2x+5y=9​

2(2y)+5y=9

4y+5y=9

9y=9

y=1

x=2(1)

x=2

(2,1)

Hope this helps you !!!!!

Plz answer i will gibe brainiest

Answers

The answer is 36.
Explanation: 3/4 Multiplied by 36 equals 27

If I understand this right:

3/4=24

24/3=8

8*4=32

You divide the number by the numerator, and then multiply that number by the denominator.

If you mean you want 3/4 of 24 then you divide 24 by 4, which equals 6. And then multiply 6 and 3, which equals 18

The school spent $504 on calculators. How
many did the school buy?

Answers

How much are each of the calculators?

Answer:

where is the rest of the question, how much was each calculator?

PLEASE I ONLY AHEB 5 minutes left


Jean deposits $730 in an account that pays 2.8% simple interest. He neither adds
more money nor withdraws any money from his account. What amount will be in
Jean's account after 5 years? Show your work.

Answers

Answer:

hyujd6dssgshfjf kryaydfhfvjmbnno vfifufiigbff

If x ≠ 2y, then

eq1aIf Dave drove one-third of the distance of his trip on the first day, and 60 miles on the second day, he figured out that he still had 1/2 of the trip to drive. What was the total length, in miles, of his trip?
360

180

120

60

90


2(x-2y)

2y-x

1

0

-2

Answers

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XML pool l lmk no no I’m pollo aw aw we we &7 I yk lol l t such by nomtifón ml my y I’ll mi

Write the exponent for 4^? = 64 What number is the question mark? *

Answers

The ? Is 3

As 4^3 = 64

4x4x4= 64

John bought a video game that was 20% off. THe game was originally $50. How much money DID HE SAVE by getting it on sale?

Answers

$10



dnskkakansjzixknsns

The graph of function gis the graph of function f (x) = 2x2 + 5 after a
vertical stretch by a factor of 3. What is the function rule for function g?

Answers

Answer: g(x) = 6*x^2 + 15

Step-by-step explanation:

Suppose that we have a function y = f(x)

A vertical stretch by a factor of K is written as:

g(x) = K*f(x).

In this case, we have f(x) = 2*x^2 + 5.

And we know that g(x) is a f(x) after a stretch by a factor of 3.

Then we get:

g(x) = 3*f(x) = 3*(2*x^2 + 5) =  3*2*x^2 + 3*5 = 6*x^2 + 15

g(x) = 6*x^2 + 15

PLEASE HELP ITS URGENT
DONT GUESS
WILL MARK BRAINLIEST (make sure to use yd² and yd³)

Answers

Answer:

Perimeter: 210[tex]yd[/tex]

Area: 2106[tex]yd^{2}[/tex]

good luck, hope this helped :)

Perimeter-210yd
Area-2106yd2

I NEED HELP ON THIS ASAP!! GIVING 75 POINTS TO WHOEVER CAN HELP ME WITH THIS!!!

Answers

Answer:

288pi

904.3

1648.5

33493.3

Step-by-step explanation:

1.

volume = 6^2 * 8 * pi = 288pi

= 904.32

2.

5^2*21*3.14 = 1648.5

3.

4/3 * 20^3 * 3.14 = 33493.3

PLEASE HELP ITS URGENT DONT GUESS ILL MARK BRAINLIEST IF YOU GET IT RIGHT

Answers

Answer:

circumference = 301.44

area =7,234.56

Step-by-step explanation:

The circumference of a circle can be found by multiplying pi ( π = 3.14 ) by the diameter of the circle.

96 x 3.14 = 301.44

area = 3.14r^2

radius = d/2

radius = 48

3.14(48^2)

area =7,234.56

Find the value of x that makes triangle CDE ~triangle FGH

Answers

Answer: 5

Step-by-step explanation:

4x + 10- 25

The product of -13 and K

Answers

Answer:

- 13 × k = -13k

good luck, hope this helps :)

Simplify.
(5v2-3v – 4)+(7v?-v+6)

Answers

Answer:

35 v 3 ? − 21 v 2 ? − 5 v 3 − 28 v ? + 13 v 2 − 2 v − 8

sb pls answer this lollllllll!?

Answers

Answer:

y = 1.5x

Step-by-step explanation:

We are to find the equation of the line

The equation is expressed as y = MX+c

m is the slope

c is the intercept

Get the slope

Using the coordnate (10, 15) and (20, 30)

m = 30-15/20-10

m = 15/10

m = 1.5

Get the intercept

Substitute m = 1.5 and (10, 15) into y = mx+c

15 = 1.5(10) + c

15 = 15+c

c = 0

Get the equation

y = mx+c

y = 1.5x+0

y = 1.5x

Hence the required equation is y = 1.5x

Answer:

y=1.5x

Step-by-step explanation:

I need help fasttttt! Helpppppp

Answers

Answer:

r>12    or    r<−4

Step-by-step explanation:

What is the sum of
1
2
+
1
4
? Use the fraction strip to help.

One whole fraction strip is equal in length to one one-half fraction strip combined with two one-fourth fraction strips. One-whole fraction strip is also equal to eight one-eighth fraction strips.

Answers

Answer:

Step-by-step explanation:

3/4

Answer:

3/8

Step-by-step explanation:

first find a good denominators then multiply the numerators by how many times it took you to get the denominator then add 1/8+ 2/8 which equals 3/8

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