find the distance between the points (-2,6) and (-1,-3)

Answers

Answer 1

Answer:

[tex]\sqrt{82}[/tex]

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 2, 6) and (x₂, y₂ ) = (- 1, - 3)

d = [tex]\sqrt{(-1+2)^2+(-3-6)^2}[/tex]

  = [tex]\sqrt{1^2+(-9)^2}[/tex]

  = [tex]\sqrt{1+81}[/tex]

  = [tex]\sqrt{82}[/tex] ≈ 9.06 ( to 2 dec. places )

Answer 2

Answer:

9.06

Step-by-step explanation:

(-2,6) and (-1,-3)

Distance =√(x2−x1)^2+(y2−y1)^2

√(−1−(−2))^2+(−3−6)^2

√(1)^2+(−3−6)^2

√(1)^2+(−9)^2

√1+81=

√82 ≈9.055385138137417


Related Questions

Please help me thank you

Answers

Answer:

B

Step-by-step explanation:

Which of the following is a complex number?

Answers

You'll be disappointed to find out these are *all* complex numbers, because the set of real numbers is a subset of the complexes.

Probably the question means to ask, "which of these numbers is strictly non-real?" in which case D would be the answer because it contains the square root of a negative number that introduces the imaginary unit i. All the other options are strictly real numbers.

On one day in January, the temperature in Milwaukee, Wisconsin fell 12°F from the high temperature to a low temperature of -8°F. If t represents the high temperature, what is the value of t?

Answers

Answer:

t = 4

Step-by-step explanation:

you have -8 and twelve you equation is x -12 = -8 so we just have to flip the equation around to make it x = 12 -8 which is easy . You just have to make sure you don't get mixed up while flipping the signs.

The value of t is 4.

What is an equation?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Given that,

The temperature in January = 12 °F

And the low temperature is = -8 °F

The equation of temperature t can be given as

t= high temperature + low temperature

t= 12 - 8

t=4

The value of t is 4.

To know more about Equation on:

https://brainly.com/question/187506

#SPJ2

Phil is paid £240 per week. Each week he saves one-quarter of his pay. a) how much does he save each week? b) He is saving for a new bike that costs £349. How many weeks does it take to save enough to buy the bike?

Answers

Answer:

a) £60

b) 6 weeks

Step-by-step explanation:

Phil is paid £240 per week

He saves 1/4 ie., 1/4 x 240 = 60

Cost of new bike = £349

No. of weeks savings = 349 / 60 = 5.816666 werks

this is math can someone help pls a floppy disk can store 1440000 bytes of data. write the number 1440000 in standard form........ i would be grateful if u can help

Answers

Answer:

1.44×10^6 is the standard form

Step-by-step explanation:

i hope this will help you :)

In the first week of​ July, a record 1 comma 100 people went to the local swimming pool. In the second​ week, 125 fewer people went to the pool than in the first week. In the third​ week, 145 more people went to the pool than in the second week. In the fourth​ week, 185 fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four​ weeks? The percent decrease of people who went to the pool is __ %

Answers

Answer:

41.36% decrease

Step-by-step explanation:

Since it told us that the total amount of people was 1,100 people, we know our percentage is going to have to be x/1100.

We calculate how many less people came to the pool after the weeks have passed, which totals up to 455 people (455 people decrease).

So,

455/1100 = 0.413636 or 41.36% decrease.

Answer:

60

Step-by-step explanation:

a=3 and b=4
b/2 ÷ 2 + (a2 - 1)

Answers

if a = 3 and b = 4, then:

4/2 ÷ 2 + (3^2 - 1)

2 ÷ 2 + (3^2 - 1)

1 + (9 - 1 )

1 + (8)

9

Please vote Brainliest if this helped you!

Answer:

Step-by-step explanation:

a = 3 & b = 4

b/2 ÷ 2 + (a² - 1) = 4/2 *1/2 + (3² -1)

                         = 1 + (9-1)

                        = 1 + 8

                       =9

Find the exact value by using a half-angle identity. cosine of pi divided by twelve

Answers

Answer:

The answer is C.

Step-by-step explanation:Th answer is C because you identify pi and devide it 12 which gives you the answer is which is C.

Answer:

[tex]\frac{1}{2} \sqrt{2+\sqrt{3}[/tex]

Step-by-step explanation:

just took the test

simplifica: 49/90, se puede????

Answers

Answer:

49/90 is simplified

Step-by-step explanation:

Answer:

Step-by-step explanation:

49/90

Please answer this question now in two minutes

Answers

It’s the first one :))

Answer:

First option is the right choice.

Step-by-step explanation:

FGH and BCD are planes parallel to each other.

Best Regards!

Hi can someone please help meee

Brian plays basketball. In the past he has made 4 out of every 5 free throws. What is the probability, as a decimal, that Brian will make the next two free throws?

Answers

Answer:

0.64

Step-by-step explanation:

4 out of 5 free throws is 0.8 as a decimal.

The probability that Brian will make 2 free throws is 0.8 for the first one, and then 0.8 of that for the second one. That means you multiply the two to get your answer and 0.8 times 0.8 = 0.64.

Which of the following is the equation of the function below?

Answers

Answer:

The answer is D

Step-by-step explanation:

y=2sec[2(x+pi)]-2 is correct on edg 2020. Also if you plug this equation into a graphing calculator the graph at the top shows up

Answer:

d

Step-by-step explanation:

which of the following is equivalent to the expression i^57. A.i B.1 C.-1 D.-i

Answers

Answer:

A: i

Step-by-step explanation:

i^57=i use the calculator

maddy had twice as many stamps as simon. After maddy sold 60 stamps, simon had twice as many stamps as maddy. how many more stamps did maddy have than simon in the beginning

Answers

Answer: 40 stamps

Step-by-step explanation:

Let Maddy = M and Simon = S

Given that maddy had twice as many stamps as simon. That is,

M = 2S ....(1)

After maddy sold 60 stamps, simon had twice as many stamps as maddy. That is,

S = 2( M - 60) .... (2)

Substitutes M for 2S from equation (1) into equation (2)

S = 2( 2S - 60 )

Open the bracket

S = 4S - 120

Collect the like terms

S - 4S = -120

- 3S = - 120

S = 120/3

S = 40

Substitute S into the equation (1)

M = 2 × 40 = 80

Maddy has 80 - 40 = 40 stamp

Therefore, Maddy has 40 more stamps than simon in the beginning.

11. Write the equation of the line in slope-intercept form that is parallel to the line y = - 4x + 2 and
passes through (2-4)

Answers

Answer:

y= -4x                                                                                                                                                                                      

Step-by-step explanation:

hope this helps and lmk if you need anything!

y=2x-7 what is x and y

Answers

We put 0 for x and y and than we get that y=-7 and x=3.5

A television game show has 8 ​doors, of which the contestant must pick 2. Behind 2 of the doors are expensive​ cars, and behind the other 6 doors are consolation prizes. The contestant gets to keep the items behind the 2 doors she selects. Determine the probability that the contestant wins both cars.

Answers

Answer:

2/56

Step-by-step explanation:

Calculate the expected gain or loss for Stock ABC. Lose $25 Gain $5 Gain $45 Stock ABC 40% | 15% | 45% Stock JKL| 15% | 65% | 20% Stock MNO| 5% | 80%| 15%

Answers

Answer:

$11

Step-by-step explanation:

[tex]\left\begin{array}{c|ccc}&$Lose \$25&$Gain \$5&$Gain \$45\\$Stock ABC&40\%&15\%&45\%\end{array}\right[/tex]

We want to calculate the expected gain or loss of Stock ABC with the probabilities above.

Note that loss is written in negative.

[tex]E$xpected Value =$ (-25 \times 40\%)+(5 \times 15\%) + (45 \times 45\%)\\=(-25 \times 0.4)+(5 \times 0.15)+(45 \times 0.45)\\=-10+0.75+20.25\\=\$11[/tex]

Stock ABC has an expected gain of $11.

3/7 of which is 2 1/14

Answers

Answer:

4 and 5/6; 29/6.

Step-by-step explanation:

3/7 of x is 2-1/14.

(3/7)x = 29/14

x = (29/14) * (7/3)

x = (29/2) * (1/3)

x = 29/6

3/7 of 4 and 5/6 is 2 1/14.

Hope this helps!

Answer:

29/6

TRUST ME IT'S RIGHT!

write the decimal as fraction or a mixed number in simplest form 4.4

Answers

Answer:

4 1/4 i think

Step-by-step explanation:

4.4*10/1*10

=44/10

= 22/5

= 2 ²/5

which statement describes the graph

Answers

Answer:

A.

Step-by-step explanation:

Use the x-axis as your "timeline", then eliminate incorrect answers.

The y-axis is crossed at x=0,y=5, so that invalidates answer C.

The line is increasing up until x=2, so answer B is wrong.

The line is constant between x=2 and x=10 so answer D is wrong.

Answer:

A is the answer

Step-by-step explanation:

Use the x-axis as your "timeline", then eliminate incorrect answers.

The y-axis is crossed at x=0,y=5, so that invalidates answer C.

The line is increasing up until x=2, so answer B is wrong.

The line is constant between x=2 and x=10 so answer D is wrong.

help me out??????? :)

Answers

Answer:

i think it might be c but im not sure

Form an equation to help you solve this problem.
A school bus is full as it sets off. At the first stop 3 children get off and at the next stop a third
of the remaining children get off, leaving the bus only half full.
How many children were on the bus at the start?

Answers

Answer:

  12

Step-by-step explanation:

If there are x children on the bus at the start, after the first stop, there are (x-3) remaining. After two stops, the number on the bus is ...

  x/2 = x -3 -(1/3)(x -3)

Multiplying by 6, we have ...

  3x = 6x -18 -2(x -3)

  3x = 4x -12 . . . . simplify

  12 = x . . . . . . . . add 12-3x

There were 12 children on the bus at the start.

_____

Check

After 3 got off at the first stop, there were 12-3 = 9 remaining. 1/3 of those, or 9/3=3 got off at the second stop, so 9 -3 = 6 remained. This is half the original number, as required.

How to multiply 28 and 36 using set of steps

Answers

Answer:

Either do 28+28+28, etc. 38 times, or follow the diagram I attached.

If you want to know more about what I did in the attachment, just ask <3

Answer:

Start by multiplying the ones: 6 times 28 is 168. Next, multiply the tens: 30 times 28 is 840. Add the products to get 1,008.

Step-by-step explanation:

Please could someone help me?

Answers

Answer:

a) square numbers

b) 9

Step-by-step explanation:

A square number is a number that can be made by multiplying a whole number by itself(49 is a square number because 7*7=49, 64 is a square number because 8*8=64).  The square root of 36 is 6.  The square root of 25 is 5.  The square root of 16 is 4.  Thus, following the pattern, the square root of 9 is 3.

Hope it helps <3


The value of V is double the value of Q.
Choose the correct formula.
A.V=Q square
B.V = Q + 2
C.V=Q/2
D.V = 2Q


Answers

Answer:

D.

Step-by-step explanation:

When it says "double", you are multiplying by 2.

Factor completely 3x4 − 48

Answers

Answer:

[tex]3(x - 2)(x + 2)( {x}^{2} + 4)[/tex]

Step-by-step explanation:

[tex] 3{x}^{4} - 48[/tex]

Factor out 3 from the expression:

[tex]3( {x}^{4} - 16)[/tex]

Using [tex] {a}^{2} - {b}^{2} = (a - b)(a + b)[/tex],factor the expression

[tex]3(( {x}^{2} ) ^{2} - {(4)}^{2} )[/tex]

[tex]3( {x}^{2} - 4)( {x}^{2} + 4)[/tex]

Again, factor using the formula of [tex] {a}^{2} - {b}^{2} [/tex]

[tex]3(x - 2)(x + 2)( {x}^{2} + 4)[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

3(x − 2)(x + 2)(x2 + 4)

Step-by-step explanation:

Took the quiz and got it right hope this helps :) , you can check out the other answer for explanation.

What is the difference from the point (-6,2) to the point (2,17)?

Answers

Answer: Distance is 17

Step-by-step explanation:

[tex]d = √((x2-x1)2 + (y2-y1)2)[/tex]

[tex](x2-x1) = (2 -6) = 8[/tex]

[tex](y2-y1) = (17 - 2) = 15[/tex]

Add them all together

[tex](8)2 + (15)2 = 64 + 225 = 289[/tex]

Square 289

[tex]\sqrt{289} =17[/tex]

The segments shown below could form a triangle.

Answers

By the Triangle Inequality Theorem, the sum of two sides should be greater than the length of the third side, while the difference of these two sides should be less than the length of this third side. Normally you would take the absolute value of the difference of these two side as you wouldn't know which is greater than the other!

The simplest way to prove whether these line segments can form a triangle, is by going against this theory. Let us prove that the line segment don't form a triangle. As you can see, adding 7 and 1 is greater than 1, respectively 7 and 7 is greater than 1. Thus -

Solution = A. True

Gabriella drives her car 400 miles and averages a certain speed. If the average speed had been 7 mph less she could have traveled only 350 miles in the same length of time what is her average speed

Answers

Answer:

Gabriella's average original speed was 56  [tex]\frac{mi}{h}[/tex]

Step-by-step explanation:

Let's use the equation that defines the average speed "v" of Gabriella during the time (t) that her trip took:

[tex]v = \frac{distance}{time} \\v=\frac{400}{t}[/tex]

Next let's write a similar average speed equation for the case in which she drove at (v - 7 mi/h) during the same time "t" and covered 350 miles:

[tex](v-7)=\frac{350}{t}[/tex]

Notice that the time "t" in the denominator appears equally in both equations we wrote, so let's isolate them on the right:

[tex]\frac{v}{400} =\frac{1}{t} \\and\\\frac{(v-7)}{350} =\frac{1}{t}[/tex]

now equal both expression since they both share the same value on the right, and solve for the unknown "v":

[tex]\frac{v}{400} =\frac{(v-7)}{350} \\350\,v=400\,(v-7)=\\350\,v=400\,v-2800\\2800=50\,v\\v=\frac{2800}{50} \,\,\frac{mi}{h}\\v=56\,\,\frac{mi}{h}[/tex]

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