Find the distance between each pair of points (-1,4) and (1,-1)

Answers

Answer 1

Answer:

d = [tex]\sqrt{29}[/tex]

Step-by-step explanation:

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(1-(-1))^2+(-1-4)^2} \\d= \sqrt{(2)^2+(-5)^2} \\d= \sqrt{4+25} \\d=\sqrt{29}[/tex]

Answer 2

The distance between each pair of points (-1,4) and (1,-1) is √29 units after using the distance formula.

What is a distance formula?

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

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

It is given that:

The distance between each pair of points (-1,4) and (1,-1)

Two points are (-1, 4) and (1, -1)

To find the distance between the above two points using the distance formula:

[tex]\rm d=\sqrt{(1-(-1))^2+(-1-4)^2}[/tex]

[tex]\rm d=\sqrt{(1+1)^2+(-1-4)^2}[/tex]

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division

d = √[(2)² + (-5)²]

d = √(4 + 25)

d = √29 units

Thus, the distance between each pair of points (-1,4) and (1,-1) is √29 units after using the distance formula.

Learn more about the distance formula here:

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Which of the following prefixes represents the largest value?
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the answer is giga

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Step-by-step explanation:

8x^2+5=22x Need help learning factoring please put work so I can understand

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Answer: (2x - 5) • (4x - 1)

STEP 1 : Equation at the end of step 1

(23x2 - 22x) + 5

STEP 2 : Trying to factor by splitting the middle term

2.1 Factoring 8x2-22x+5

The first term is, 8x2 its coefficient is 8 .

The middle term is, -22x its coefficient is -22 .

The last term, "the constant", is +5

Step-1 : Multiply the coefficient of the first term by the constant 8 • 5 = 40

Step-2 : Find two factors of 40 whose sum equals the coefficient of the middle term, which is -22 .

-40 + -1 = -41

-20 + -2 = -22 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -20 and -2

8x2 - 20x - 2x - 5

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Add up the last 2 terms, pulling out common factors :

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Step-5 : Add up the four terms of step 4 :

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y varies directly as x = 1/2 and y = 5/4. what is x when y is 60

Answers

Answer:

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Step-by-step explanation:

mark me brainliest!!!!

Due tonight
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Answer:68%

Step-by-step explanation:0.68*100

Answer: 68%

Step-by-step explanation: We can change a decimal to a percent

by moving the decimal point two places to the right.

So in this problem, to change 0.68 to a percent,

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5. The temperature dropped 3 oc every hour for 5 hours. Write an integer that represents the change in temperature.

Answers

Answer:

let the earlier temperature be x

then change in temperature is x - 15

find the length and breadth of a rectangular plot whose area is 660square metre and perimeter is 104metre​

Answers

Answer:

Step-by-step explanation:

let length=l

breadth=b

l×b=660

2(l+b)=104

l+b=104/2=52

b=52-l

l×(52-l)=660

52l-l²=660

l²-52l+660=0

l²-22l-30l+660=0

l(l-22)-30(l-22)=0

(l-22)(l-30)=0

l=22,30

when l=22,b=52-22=30

when l=30,b=52-30=22

l>b

so l=30m

b=22m

Answer:

W = 22 m

L = 30 m

Step-by-step explanation:

given:

area is 660square metre and perimeter is 104metre​

find:

the length and breadth of a rectangular plot

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

1. area of rectangle (A) = L x W

2. Perimeter of a rectangle (P) = 2L + 2W

where:

A = 660 m²

P = 104 m

solve for L using formula 1.

A = L x W

660 = L x W

L =  660 / W

solve W using formula 2 and use L = 660 / W

P = 2L + 2W

104 = 2 (660)  +  2W

               W

104W = 1320 + 2 W²

-2W² + 104W = 1320

solve W using quadratic equation:

W = 22 m; ( 30 m = L)

plugin W=22 into L =  660 / W to solve L:

L = 660 / 22

L = 30 m

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Mrs. Start's class paid $5.60 for 4 5 yd of lace for an art project. Later, the class decided to buy another 7 3 4 yd of the same lace to make costumes for the school musical. How much money do they need for this second purchase?

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Which best describes and corrects the error in finding the difference?

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The 2 minus signs cancel out and make the 12 positive so 7 - (-12) = 19.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Area of the triangle = 1/2 × the height × base length

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= 1/2 × 5 × 16

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Answers

Answer:

Step-by-step explanation:

3(x - 2) = -27

3x - 6 = -27

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Explanation:

N is equal to 5 because 7 subtracted from 12 and 8 subtracted 13 are equal 5.

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Three boys cut out hundredths decimal models. Luke shades three fourths of one model. Owen shades four small squares of one model. Jacob shades two full models and nine tenths of another model. What decimal represents the amount each boy shades?

Answers

Answer:

Luke = 0.75

Owen = 0.04

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Step-by-step explanation:

A model = 100 small squares

100 small squares = 1

Luke shades three fourths of one model.

Luke = 3/4 of 1 model

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Owen shades four small squares of one model.

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= 2.9

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Owen = 0.04

Jacob = 2.9

I'm really confused about this question,
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Answers

to solve, first distribute your negative on the left side.

-(q+7) -> -q-7

now, just balance out both sides by first adding your left q to your right q’s

-q-7 = -6+8
+q +q

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then, subtract your 8 from both sides

-7 = -5q + 8
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3 = q

7(-7x-9) + 3x+2 = -5(-3x-8) + 6
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Answers

Answer:

-107/61

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-49x-63+3x+2=15x+40+6

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the answer is 2/3 !!

yw gl

A shop owner did a survey to determine the ages of shoppers who made purchases in the shop. The results for one afternoon are shown. How many shoppers were between the ages of 20 and 30, including 20 and 30? What were their ages? 13, 19, 20, 30, 30, 31, 38, 48, 50, 52, 55, 56, 65, 67, 69, 69, 70, 75

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Answers

Answer:

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Step-by-step explanation:

f(x) = |x|

y = f(x) + C C < 0 moves it down

y = |x| -3  for  shifting down 3

y = f(x + C) C > 0 moves it left

y = |x+1| -3 for move it left 1

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y = −f(x)  Reflects it about x-axis

y = -2|x+1| -3

We start off with f(x) = |x|

c < 0 means move down

y = f(x) + c

3 units down

After: y = |x| - 3

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y = f(x + c)

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y = cf(x)

2 unit stretch

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Best of Luck!

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Answers

Answer:

y = 2x -12

Step-by-step explanation:

6x – 3y = 36

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6x-6x – 3y =-6x+ 36

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Answers

The answer to your question would be 1530 because the whole number is 1800 then the 85% would be 1530

Berks Lanes charges $4 per game of bowling and
$5 for the shoe rentals. If Roberto met his friends
to play and paid for 5 games and one shoe rental,
how much did he pay in all?


PLZ HELP THIS IS DUE IN 8 MINUTESSSSS

Answers

Answer:

25 $.

Step-by-step explanation:

4 (dollars per game) x 5 (how much games) = 20.

+ 5 $ for one shoe rental.

Robert will pay $25 for 5 games and one shoe rental.

Given that,
Berks Lanes charges $4 per game of bowling and $5 for the shoe rentals.  Roberto paid for 5 games and one shoe rental, how much did he pay in all is to be determined.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements.

What is simplification?

The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.


Berks Lanes charges $4 per game of bowling and $5 for the shoe rentals

Let the number of games be x, and number of show use be y
Total cost for the games = 4x  + 5y
Roberto paid for 5 games and one shoe rental implies
x = 5 and y = 1
Now,
Total money paid = 4 * 5 + 5 * 1
                              = 25

Thus, robert will pay $25 for 5 games and one shoe rental.

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which is a better estimate for 682,000: 6 x 10^5 or 7 x 10^6

Answers

Answer:

6 x 10^5

Step-by-step explanation:

7 x 10^6 is 7,000,000 and 6 x 10^5 is 600,000. The one that is closer is 6 x 10^5

The formula A = Pe^rt gives the balance A of an account earning what type of interest?
The formula A = Pert gives the balance A of an account earning interest compounded daily.
The formula A = Pert gives the balance A of an account earning interest compounded monthly.
The formula A = Pert gives the balance A of an account earning interest compounded continuously.
The formula A = Pert gives the balance A of an account earning interest compounded quarterly.

Answers

 From the given options, Option (C) shows the type of compound interest earned.

  Formula for the compound interest earned continuously is given by,

[tex]A=P.e^{rt}[/tex]

Here, [tex]A=[/tex] Final amount

[tex]P=[/tex] Principal amount

[tex]r=[/tex] rate of interest

[tex]t=[/tex] Time

  Therefore, Option (C) will be the correct option.

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