Using PT in the Coordinate System
llus
Find the distance between the two points.
(-1,3)
(4,2)
✓ [?]
Enter the number that
goes beneath the
radical symbol.

Answers

Answer 1

Answer:

The distance between the two points is [tex]\sqrt{26}[/tex]

Step-by-step explanation:

The formula of the distance between two points (x1, y1) and (x2, y2) is

d = [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex]

∵ The points are (-1, 3) and (4, 2)

x1 = -1 and x2 = 4

y1 = 3 and y2 = 2

→ Substitute them in the formula of the distance above

∵ d = [tex]\sqrt{(4--1)^{2}+(2-3)^{2}}[/tex]

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

∴ d = [tex]\sqrt{(5)^{2}+1}[/tex]

∴ d = [tex]\sqrt{25+1}[/tex]

∴ d = [tex]\sqrt{26}[/tex]

The distance between the two points is [tex]\sqrt{26}[/tex]


Related Questions

I need help on this .....,,,

Answers

Answer: false

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

The y-intercept is at -7, and the slope is two (move to the right one and up two or left one and down two)

The perimeter of a parallelogram must be no less than 40 feet. The length of the rectangle is 6 feet. What are the possible measurements of the width? Write an inequality to represent this problem. Use w to represent the width of the parallelogram. [Hint: The formula for finding the perimeter of a parallelogram is \(P=2l+2w.\) What is the smallest possible measurement of the width? Justify your answer by showing all your work.

Answers

Answer:

A. 2l + 2w > 40

B. 14 = w

Step-by-step explanation:

B. 40 = ( 2/6) + 2w

40 = 12 +2w

subtracted by

28 = 2w

and that equals

14= w

 

Can somebody please solve these for me I don't wana do it (thats why i am using so many points)

Answers

Down                            

6. 4,011                          

10. -94

11. 26

13. 178

15. -8

16. 6,861

18. 3,482

20. 385

22. 788

24. -5

25. 44

Across

1. -248

5. -9

7. 4,923

8. 90

9. 67

10. -912

12. 119

14. 16

15. -6

17. 743

19. 8,838

21. 47

23. 68

24. -884

26. 15

27. 7,284

Caden earned $24 for cleaning his neighbor's house 6 times. If Caden charged the same rate and earned $40, how many times did he clean his neighbor's house? Use a unit rate to find the unknown value.

Answers

Answer:

2 time s=two then minus the neighbors kids

Step-by-step explanation:

Mikah and Gracie were running laps at the local gym. Mikah ran 1 and 4/8 laps, and Gracie ran 1 and 1/2 laps. Who ran a further distance?

Answers

Answer:

Trick question they both ran equal distance

Step-by-step explanation:

Gracies distand 1 and 1/2 is already in simplist form, but Mikahs distance 1 and 4/8 can be reduced.

More specifically the fration 4/8 can be reduced, finding the largest common multiple between 4 and 8 we find that 4 is the largest number that goes into both.

This results in the simplification of 1 and 4/8 to 1 and 1/2 which is the same as Gracies distance.

Mia buys 50 coats at $28 each she sells 38 of these coats at$49 each she sells the rest of the coats at$40 each find the overall percentage profit mia has made on these coats

Answers

Answer:

67.28 %

Step-by-step explanation:

Given that:

Price at which the coats are bought = $28

Number of coats bought = 50

Total money spent on buying the coats = 50 [tex]\times[/tex] 28 = $1400

Number of coats sold at $49 each = 38

Money earned by selling 38 coats at $49 each = $1862

Number of coats left = 50 - 38 = 12

Money earned by selling 12 coats at $40 each = $480

Total money earned = $1862 + $480 = $2342

To find:

The overall profit percentage made by Mia ?

Solution:

Formula for Profit percentage:

[tex]Profit\% = \dfrac{Sales\ Price - Cost\ Price}{Cost\ Price}\times 100\\\Rightarrow Profit\% = \dfrac{2342 - 1400}{1400}\times 100\\\Rightarrow Profit\%=\dfrac{942}{1400}\times 100\\\Rightarrow Profit\%=67.28\%[/tex]

Therefore, overall percentage profit made by Mia by selling the coats= 67.28 %

please help!! i’ll give brainliest!!

Answers

A is $1100
B is 12

hope this helped :)

Answer:

a- 1,100

b- 12

c- the price also increases.

Step-by-step explanation:

PLEASE HELP URGENT WILL MARK BRAINLIEST

Answers

Answer:b) intersecting

Assume your gross pay per pay period is $2,300.00 and you are in the 28 percent tax bracket. Calculate your net pay and spendable income if you save $230.00 per pay period in a tax-sheltered annuity. (Do not round intermediate calculations. Round your answers to the nearest whole dollar.)

Answers

1,400 js the answer
I have it for a class
Explanation
Bababoey

work out 4.52 times by 36

Answers

I just it into a calculator and got 162.72. Hope this helps you! Have a nice day and a nice rest of the holidays!

The product of 4.52 times by 36 is 162.72

Given,

4.52 times by 36

We need to find the product.

How do multiply decimal numbers?

Example:

2.3 x 3.4 = 7.82

There are two numbers after the decimal point.

In 2.3 there is one number after the decimal point.

In 3.4 there is one number after the decimal point.

Now,

1 + 1 = 2 numbers

7.82 has two numbers after the decimal point.

We have,

4.52 times by 36

4.52 x 36 = 162.72

4.52 x 6 = 27.12

4.52 x 3 = 13.56

         4.52

       x   36

        27.12

     13.56        

     162.72

4.52 has two numbers after the decimal point.

162.72 has two numbers after the decimal point.

Thus the product of 4.52 times by 36 is 162.72

Learn more about the multiplication of decimal numbers here:

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The figure shows the graph of y = -x² + bx + c. Find the values of b and c.​

Answers

Answer:

b = 2, c = 3

Step-by-step explanation:

The zeros are x = - 1 and x = 3

Substitute the zeros into the equation and let y = 0

- (- 1)² - b + c = 0

- 1 - b + c = 0 → (1)

- 3² + 3b + c = 0

- 9 + 3b + c = 0 → (2)

Subtract (1) from (2) term by term, that is

- 8 + 4b = 0 ( add 8 to both sides )

4b = 8 ( divide both sides by 4 )

b = 2

Substitute b = 2 into either of the 2 equations and solve for c

Substituting into (1)

- 1 - 2 + c = 0

- 3 + c = 0 ( add 3 to both sides )

c = 3

What is the slope of this line?



Enter your answer as a whole number or a fraction in simplest form in the box.

Answers

Answer:

0

Step-by-step explanation:

As evident by the graph, nowhere does the line have any sort of slope. So, the slope must be zero.

y = mx + b

y = 2 (m, slope, is zero and b = 2, the y-intercept)

i need heelllppppp plzzzz someone helllppp meee

Answers

Answer:

The equation of the line is y =  [tex]-\frac{4}{5}[/tex] x + [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

m is the slopeb is the y-intercept

The rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where

(x1, y1) and (x2, y2) are two points on the line

∵ A line passes through points (2, -1) and (-3, 3)

x1 = 2 ad y1 = -1

x2 = -3 and y2 = 3

→ Use the rule of the slope above to find the slope of the line

∵ m = [tex]\frac{3--1}{-3-2}[/tex] = [tex]\frac{3+1}{-5}[/tex] = [tex]\frac{4}{-5}[/tex]

m = [tex]-\frac{4}{5}[/tex]

→ Substitute the value of m in the form of the equation above

y =  [tex]-\frac{4}{5}[/tex] x + b

→ To find b substitute x and y in the equation by the coordinates of one  

   point of the given points

∵ x = 2 and y = -1

∴ -1 = [tex]-\frac{4}{5}[/tex] (2) + b

∴ -1 = [tex]-\frac{8}{5}[/tex] + b

→ Add [tex]\frac{8}{5}[/tex] t both sides

∵ -1 + [tex]\frac{8}{5}[/tex] = b

[tex]\frac{3}{5}[/tex] = b

→ Substitute the value of b in the equation

∴ y = [tex]-\frac{4}{5}[/tex] x + [tex]\frac{3}{5}[/tex]

The equation of the line is y =  [tex]-\frac{4}{5}[/tex] x + [tex]\frac{3}{5}[/tex]

The diagram shows a door that has a window in it. The front faces of the door and the window are similar rectangles that have the dimensions shown.


What is h, the height of the window in centimeters?

Answers

Answer:

Step-by-step explanation:

The diagram shows a door that has a window in it. The front faces of the door and window  are similar rectangles that have the dimensions shown. What is h, the height of the window in centimeters?

A. 66 cm

B. 150 cm

C. 186 cm

D. Not here.

Source:

Question that can be found at quizizz

Step-by-step explanation:

Let's recall that if the door and the window in it are similar rectangles, then we have:

Plsssss help I needdd help

Answers

Answer:

';ouiehdgfw;i[hgvc

Step-by-step explanation:

its very good have patience gurrrrrrrrrl lol

A beetle that Hannah observed was too small to draw at its actual size. Hannah decided to make a scale drawing of the beetle as shown above. The beetle in the drawing is 7.62 cm long and 3.81 cm wide. The scale factor of her drawing is 3. Part A: Find the actual length of the beetle Hannah observed. Show all work. Part B: Find the actual width of the beetle Hannah observed. Show all work. Part C: The actual length of each of the beetle's antennae is 0.2 cm. What is the size of each antenna on Hannah's scale drawing? Show all work.

Answers

Answer:

[tex]Actual\ Length = 2.54\ cm[/tex]

[tex]Actual\ Width = 1.27\ cm[/tex]

[tex]Scale\ Length = 0.6\ cm[/tex] --- Beetle's antennae

Step-by-step explanation:

Given

The following scale measurements

[tex]Length = 7.62cm[/tex]

[tex]Width = 3.81cm[/tex]

[tex]Scale\ Factor = 3[/tex]

Solving (a): The actual length.

We simply divide the scale length by the scale factor.

[tex]Actual\ Length = \frac{Scale\ Length}{Scale\ Factor}[/tex]

[tex]Actual\ Length = \frac{7.62cm}{3}[/tex]

[tex]Actual\ Length = 2.54\ cm[/tex]

Solving (b): The actual width.

We simply divide the scale width by the scale factor.

[tex]Actual\ Width = \frac{Scale\ Width}{Scale\ Factor}[/tex]

[tex]Actual\ Width = \frac{3.81\ cm}{3}[/tex]

[tex]Actual\ Width = 1.27\ cm[/tex]

Solving (c):

Given: Actual Length of the beetle's antennae is 0.2 cm.

Required: Determine the scale measurement.

This is solved using:

[tex]Actual\ Length = \frac{Scale\ Length}{Scale\ Factor}[/tex]

[tex]0.2\ cm = \frac{Scale\ Length}{3}[/tex]

[tex]Scale\ Length = 0.2cm * 3[/tex]

[tex]Scale\ Length = 0.6\ cm[/tex]

Consider the statement: 4−3+5=−6+8+4. This is a mathematically correct sentence.Is the sentence true or false? Explain how you know.

Answers

Answer:

This is true because 6 does infact equal 6

Step-by-step explanation:

First see if the solution is true by seeing if x = x

So solve both sides

4-3+5 = -6+8+4

1+5 = 2+4

6 = 6

True this answer is true

1/3x + 2y =4 x + y =-3

Answers

Answer:

x = -9/23 or y = -33/23 = -1 10/23

Step-by-step explanation:

Please mark brainliest.

Answer:

x= -9/23

y= -3/33

Step-by-step explanation:

Write a linear function f with the values f(−1)=8 and f(5)=6.

Answers

Answer:

f(x)=1/3x+23/3

Step-by-step explanation:

Find the slope:

m= -1/3

Find the y-intercept:  

b= -7 2/3

Substitute in the numbers to get:

f(x)=1/3x+23/3

Hope this helps! :)

The value of the linear equation will be;

⇒ f (x) = -1/3x + 23/3

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The values are;

⇒ f (-1) = 8 and f (5) = 6

Now,

Let the linear function is,

⇒ f (x) = ax + b

Substitute f (-1) = 8 and f (5) = 6 in above equation as;

⇒ f (-1) = a × -1 + b

⇒ 8 = - a + b   ... (i)

And, ⇒ f (5) = a × 5 + b

⇒ 6 = 5a + b   ... (ii)

Solve (i) and (ii) as;

a = - 1/3 and b = 23 / 3

So, The linear equation become;

⇒ f (x) = ax + b

⇒ f (x) = -1/3x + 23/3

Thus, The value of the linear equation will be;

⇒ f (x) = -1/3x + 23/3

Learn more about the linear equation visit:

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(will mark brainliest)

The new borders in Europe caused tensions to grow.

A. TRUE
B. FALSE

Answers

Answer:

A. True

Step-by-step explanation:

In Europe and across the world, the tensions from the Cold War affected the borders of various countries, but the two opposing sides were not quick to agree and “forgive” each other, like siblings do. Overall, the Cold War affected the borders of Europe and other countries across the world by splitting various countries and dividing continents.

Answer:

this is true mark me brainliest please have a great

day :)

Step-by-step explanation:

Age of father is 30 years more than that of his son, 5 years hence fathers age will be thrice of his sons age. Find their present ages

Answers

Answer:

Son age be 10

And, the father age be 40

Step-by-step explanation:

The computation of the present ages is shown below:

Let us assume the son age be x

And, the father age be x + 30

Now after five hence, their ages are

Son age = x + 5

And, the father age be = x + 30 + 5

Also the father age is thrice of his son age

So the equation would be

3(x + 5) = x + 35

3x + 15 = x + 35

2x = 20

x = 10

The son age is 10

And, the father age is = 10 + 30 = 40

The correct ans is Five,

Let the son’s present age be x years.

Then the father’s present age is (x+30) years.

Father’s age after 5 years =(x+40) years

Son’s age after 5 years = (x+5) years

(x+40) = 3[x + 5]

x + 40 = 3x + 15

2x = 10

∴ x = 5

To know more about 'Age' visit:

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Please help! 2nd time asking!

Answers

Answer:

4

Step-by-step explanation:

Function 1 is moving at a constant rate meaning it has the rate of change of 0/1 or 0.

Function 2 says y is 4x meaning that the rate of change is 4/1 or 4.

0 - 4= I-4I or 4

Austin correctly answered 92% of the questions on a geography quiz. Liz answered 47 of the 50 questions correctly.

Who earned the higher score? Compare their scores.


Austin answered 47 of the questions correctly, which is greater than 94%, so Liz earned the higher score.


Austin answered 47 of the questions correctly, which is less than 92%, so Liz earned the higher score.


Liz answered 47 of the questions correctly, which is less than 92%, so Liz earned the higher score.


Liz answered 47 of the questions correctly, which is greater than 92%, so Liz earned the higher score.

Answers

Answer:

So if you do the math liz got a 94 so two points higher than Austin so the answer is the last one

Step-by-step explanation:

Answer:d liz had the higher score

Step-by-step explanation:

calculator

What is the slope of the line that passes through the points (6, -5) and (6, -8)?
Write your answer in simplest form.

Answers

-8- -5 / 6-6 = -3/0 which is undefined

CAN SOMEONE PLEASE HELP ME WITH THIS please please help me with this please please

Answers

Answer:

Congruent

3x= 360 I believe if this is the outside of the triangle?

x= 120

Step-by-step explanation:

brainliest

Answer:

1. Congruent

2. 3x= 360

3. x= 120

Step-by-step explanation:

Kelvin ran in a race over the weekend and ran 4 kilometres in 20 minutes. Choose all of the th emu it rates that represent the problem A) 1 km in 5 min B)5 km in 1 min C)4/20 km in 1 min D)4/20 min in 1 km E) 3/5 km in 1 min

Answers

Answer:

A) 1 km in 5 min

C.) 4/20 km in 1 min

Step-by-step explanation:

Given that:

Kevin ran 4 km in 20 minutes

A) 1 km in 5 min B)5 km in 1 min C)4/20 km in 1 min D)4/20 min in 1 km E) 3/5 km in 1 min

4 km in 20 minutes :

4km / 20 minutes = 1km / 5 minutes

4/20 km in 1 minute = 0.2 km in 1 minute

If :

1 km = 5 minutes

x km = 1 minute

Number of kilometers in 1 minute :

1/5 = 0.2 km per minute

Hence, Option A and C

Write an equivalent fractions for 3/7 and 1/3 using 21 as the common denominator

Answers

Answer:

9/21 & 7/21

Step-by-step explanation:

Equivalent fraction for  [tex]\frac{3}{7}[/tex] and  [tex]\frac{1}{3}[/tex] using 21 using as the common denominator are [tex]\frac{9}{21} ,\frac{7}{21}[/tex].

What are equivalent fraction?

"Equivalent fraction is fraction with different numerator or denominator

that represents the same value or proportion of the whole."

What is common denominator?

"Common denominator is the same denominator of all the fraction"

We have to write an equivalent fractions for [tex]\frac{3}{7}[/tex] and [tex]\frac{1}{3}[/tex]  using 21 as common denominator.

As we know when we multiply [tex]7[/tex] by [tex]3[/tex] to get [tex]21[/tex]

and we have to multiply [tex]3[/tex] by [tex]7[/tex] to get [tex]21[/tex]

⇒[tex]\frac{3}{7}=\frac{3}{7}[/tex]×[tex]\frac{3}{3}=\frac{9}{21}[/tex]

⇒[tex]\frac{1}{3}=[/tex][tex]\frac{1}{3}[/tex]×[tex]\frac{7}{7}=\frac{7}{21}[/tex]

Hence, Equivalent fraction for  [tex]\frac{3}{7}[/tex] and  [tex]\frac{1}{3}[/tex] using 21 as common denominator are [tex]\frac{9}{21} ,\frac{7}{21}[/tex].

Learn more about Equivalent fraction and common denominator here

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A jar contains 5 blue, 3 red. and 7 white balls. What is the approximate probability of drawing a blue or red ball on the first draw?
A. 33%
B. 80%
C. 53%
D. 67%

Answers

Answer:

C

Step-by-step explanation:

emily have 6 times more candy than heily but tom have 8 more candys than heily. in total theres 32 candys. How many candys every kid have?

Answers

Answer:

Step-by-step explanation:

If heily has 3 candies the emily has 6 times more than that = 3 x 6 = 18

And Tom has 8 candies more than heily = 3 + 8 = 11

Total = 3 + 18 + 11 = 32

A dog has a litter of 5 puppies. You plan to adopt 2 of the puppies. In how many ways can you choose 2 of the puppies from the litter?

Answers

Step-by-step explanation:

Number of choices = 5C2 = 5 * 4 / (1 * 2) = 10.

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