Find the distance between the following points:
A(9,2) and B(3,6).

Answers

Answer 1

Answer:

d = 2[tex]\sqrt{3}[/tex]

Step-by-step explanation:

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(3-9)^2+(6-2)^2} \\d= \sqrt{(-6)^2+(4)^2} \\d= \sqrt{(36)+(16)} \\d= \sqrt{52} \\d=2 \sqrt{13}[/tex]


Related Questions

Solve:
3(x - 2) = 18

Answers

Answer:

Standard form:

3x − 24 = 0

Factorization:

3(x − 8) = 0

Solutions:

x = 24

3

= 8

Step-by-step explanation:

Hope this helps? :))

[tex]\large\tt Step-by-step~explanation:[/tex]

To solve for x, we have to isolate the variable.

[tex]\tt Step~1:[/tex]

First, we distribute 3 to (x - 2) because when there are parentheses with terms inside it next to another term, then we have to multiply them together.

[tex]\tt 3*x=3x\\3*-2=-6\\3x-6=18[/tex]

[tex]\tt Step~2:[/tex]

Next, we add six on the left side of the equation to cancel out - 6. We also add 6 to the right, because we have to do whatever we do on both sides of the equation.

[tex]\tt 3x-6(+6)=18(+6)\\3x=24[/tex]

[tex]\tt Step~3:[/tex]

Finally, we divide both sides by 3 to isolate x and get our answer.

[tex]\tt \frac{3x}{3}=x\\\frac{24}{3}=8\\x=8[/tex]

[tex]\large\boxed{\tt Our~final~answer: ~x=8}[/tex]

Read each problem carefully and solve.
19. Ellie built 6/10 of a fort on Saturday and the rest on Sunday. How much of the fort did Ellie build on Sunday?

A. 1/100

B. 4/100

C. 60/100

D. 40/100

Answers

The answer is D, i’m almost positive.

Give 3 expressions equivalent to the expression 24x+60

Answers

12x+30, 36x+90, 6x+15

A notebook costs $2.39 at Walmart. If the tax rate is 7%, what is the total cost at the register?

Answers

$2.39 is 100%
$x is 7%

2.39 x 7 = 16,73
16,73/100 = 0,17
the total cost is $2,56

Solve 2 s 2x + 4 < 10 for x.

Answers

Answer:

x=2

Step-by-step explanation:

2x2 =4

4+4=8

8<10

The candle maker makes a total of 454545 orange candles. This is 30\%30%30, percent of all the candles she made this week. How many candles did the candle maker make this week?

Answers

Answer:

150 candles

Step-by-step explanation:

find the midpoint of a line segment with the given endpoints.(8,-3) (-8,1)

Answers

Answer:

(0,-1)

Step-by-step explanation:

Solve for n. 11(n – 1) + 35 = 3n

Answers

11n - 11 + 35 = 3n

8n = - 24

n = - 3

Answer:

n = -3

Step-by-step explanation:

Simplifying

11(n + -1) + 35 = 3n

Reorder the terms:

11(-1 + n) + 35 = 3n

(-1 * 11 + n * 11) + 35 = 3n

(-11 + 11n) + 35 = 3n

Reorder the terms:

-11 + 35 + 11n = 3n

Combine like terms: -11 + 35 = 24

24 + 11n = 3n

Solving

24 + 11n = 3n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-3n' to each side of the equation.

24 + 11n + -3n = 3n + -3n

Combine like terms: 11n + -3n = 8n

24 + 8n = 3n + -3n

Combine like terms: 3n + -3n = 0

24 + 8n = 0

Add '-24' to each side of the equation.

24 + -24 + 8n = 0 + -24

Combine like terms: 24 + -24 = 0

0 + 8n = 0 + -24

8n = 0 + -24

Combine like terms: 0 + -24 = -24

8n = -24

Divide each side by '8'.

n = -3

Simplifying

n = -3

74°F, 65°F, 71°F, 65°F. 68°F, 78°F, 72°F. 67°F
What is the mean absolute deviation of this data set?

Answers

Answer:

3.75jgfbvuekdfb

Step-by-step explanation:

Use the number line to find the coordinate of the midpoint of segment DE

Answers

Answer:

x1+x2/2

7+11/2

18/2=9

Step-by-step explanation:

The midpoint of segment DE is 9 units.

It is required to find the midpoint of segment DE.

What is midpoint ?

The midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.

Given:

By mid point formula we get,

The midpoint formula is applied when one is required to find the exact center point between two defined points.

The coordinate of point D is 7 units.

The coordinate of point E is  11 units.

According to given question we have,

The midpoint of segment DE

[tex]=\frac{x_{1} +x_{2} }{2} \\=(7+11)/2\\\\=18/2\\\\=9[/tex]

Therefore , the midpoint of segment DE is 9 units.

Learn more details about midpoint here:

https://brainly.com/question/28224145

#SPJ2

A plumber charges $65 per hour to fix a leak. What is an equation that relates to the total cost of a leak repair c to the number of hours h it takes the plumber to fix the leak?

Answers

Answer:

The equation is C = 65h

Please help!! 2/3x-7=x

Answers

Answer:

-21

Step-by-step explanation:

Answer:

i know its already been answered but yes, it is -21

Step-by-step explanation:

hope it helps, can anyone look at my most recent question? i'll appreciate it

Use elimination to solve and match each system of equations to the correct solution

9x+4y=-72
2x-3y=-16

Answers

Answer:

Step-by-step explanation:

27x + 12y = -216

8x - 12y = -64

35x = -280

x= -8

2(-8) - 3y = -16

-16 - 3y = -16

-3y = 0

y = 0

(-8, 0)

how to subtract 5/8 from 1 7/8

Answers

Answer:

7/8 - 5/8 = 2/8. Therefore the answer is 1 2/8.

Step-by-step explanation:

Answer: 1 2/8

Step-by-step explanation:

you take away 5 from seven so it becomes 2 then you put the 8 under and you still keep the one there

Point L is on line segment KM . Given KM = 5x + 10 , LM = 4x , and KL = 3x , determine the numerical length of KL

Answers

Answer:15

I know Bc I got it wrong that was the answer

When Bryan was 11 years old he was 150.25 centimeters tall. For the next 4 years, he grew 65 centimeters a year. How tall was Bryan when he was 15 years old? Help PLEASE​

Answers

Step-by-step explanation:

He grew 65cm a year??? Omg

I think it is

65cm x 4(years)= 260cm

150.25 + 260= 410.25cm

So, when he was 15 years old he was 410.25cm tall

0.75a=-9 Please show workkkkk

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{a = - 12}}}}}[/tex]

Step-by-step explanation:

[tex] \star{ \sf{ \: \: 0.75a = - 9}}[/tex]

Divide both sides by 0.75 . Thenafter, Calculate it

[tex] \hookrightarrow{ \sf{ \frac{0.75a}{a} = \frac{ - 9}{0.75}}} [/tex]

[tex] \hookrightarrow{ \boxed{ \sf{a = - 12}}}[/tex]

The value of a is -12

Hope I helped!

Best regards!

~ TheAnimeGirl

if I am 9 years old how old will i be in 29 years​

Answers

Answer:

YOU will be 38 yrs old, but I will be 29 years older than my 29 year-younger self

Step-by-step explanation:

Answer:

you would be 38

Step-by-step explanation:

29 plus 9 equals 38

in this diagram, AB and CD are Parallel. Angle ABC measure 35 and Angle BAC measure 115, what is the angle of ACE.

Answers

Answer:

180°

Step-by-step explanation:

I think this is the answer

because the line is straight from the point ACE

see

Which of the following numbers is irrational?
72

4
3
3, 5, VA
O?
0 3
O A

Answers

the square root of three when multiplied by itself if the number three it is more precisely call the principal square root of three the square root of three is an irrational number approved the irrationality

Problem
3x + 5 + 2x = 12 + 4x

Answers

x=7 All you need to do is combine like terms and then move the appropriate terms to the appropriate side.

Answer:

x=7

Step-by-step explanation:

because u add the like terms so

3x+2x

which would be

5× so now its

5x+5=12+4x

-4. -4

x+5=12

-5. -5

x=7

Use elimination to solve the system of equations. 2x+y=4 and -4x-2y=8

Answers

Answer: No solution

Step-by-step explanation:

To use elimination method, we need to choose a variable to eliminate. Let's eliminate x. To eliminate x, the x coefficient in both equations must be the same, regardless of the sign. To do so, let's multiply the first equation by 2.

(2x+y=4)2

-4x-2y=8

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

4x+2y=8

-4x-2y=8

Let's add both equations together.

0=8

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

Now that we got this far, we can see that something is wrong. This normally doesn't happen. If you notice, the second equation is the first equation but multiplied by 2. Instead, let's rewrite each equation.

2x+y=4              [subtract both sides by 2x]

y=-2x+4

-4x-2y=8           [add both sides by 4x]

-2y=4x+8          [divide both sides by -2]

y=-2x-4

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

If you analyze both equations, you will see that they are parallel lines. We know this because the slopes are the same, but different y-intercept. from our knowledge of parallel lines, they NEVER touch or cross. This means there would be no solution at all.

A map scale shows that 3 km = 2 cm. How many cm would represent 15 km on the map?
cm

Answers

Answer:

3 = 2

15 = 10

10 cm

Step-by-step explanation:

Can someone help me?

Answers

Answer:

3 and 6       5and 4

Step-by-step explanation:

Multiply (3)x(−4)x(2).

Answers

-24..........!!!!!!!!!!

Answer:

-24x²

Step-by-step explanation:

remove the parentheses, multiply the numbers, apply exponent rule and add the numbers

Evaluate the expression for x=4
3x^2

Answers

Answer:

Step-by-step explanation:

x = 4

3x^2

3(4)^2

3(16)= 48

There are 12p calories in a 3/4 cup serving of cereal. How many Calories are there in 6 cups of cereal?

Answers

Answer:

960 calories in 6 cups of cereal

Step-by-step explanation:

Answer:96

Step-by-step explanation:

16 is in the 4/4 and 16 x 6 is 96

means to find the only possible answer.

Answers

The answer is determine

how do i solve the equation [tex](2a^{3} b^{4}c^{0})^{3}[/tex]

Answers

Answer:

[tex]8\frac{-2x}{-2}=\frac{0}{-2}[/tex]

Step-by-step explanation:

[tex]\left(2a^3b^4c^0\right)^3[/tex]

Cube each portion:

[tex]2^3\left(a^3\right)^3\left(b^4\right)^3\left(c^0\right)^3[/tex]

[tex]8\left(a^3\right)^3\left(b^4\right)^3\left(c^0\right)^3[/tex]

[tex]8a^9\left(b^4\right)^3\left(c^0\right)^3[/tex]

[tex]8a^9b^{12}\left(c^0\right)^3[/tex]

[tex]8a^9b^{12}\times1[/tex]

[tex]8a^9b^{12}[/tex]

a square patio has an area of 200 square ft. how long is each side of the patio to the nearest foot? please answer quickly! will give brainliest.

Answers

Answer:

100

Step-by-step explanation:

cause they its 100

Answer:

14 feet

Step-by-step explanation:

Use the square area formula, A = s², where s is the side length

Plug in the area and solve for s:

A = s²

200 = s²

14 = s

So, each side of the patio is 14 feet

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