If (-1, 2) and (2, -1) are two opposite vertices of a square, what is the perimeter of the square?

Answers

Answer 1

The sides length of the square is 3 units, then the perimeter of the square is 12 units.

What is a square?

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a square, opposite sides are parallel and all sides are equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.

If (-1, 2) and (2, -1) are two opposite vertices of a square, then the perimeter of the square will be

The other two vertices of the square will be

(-1, -1) and (2, 2)

Then the distance between the points (2, 2) and (2, -1) will be

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

Then the perimeter of the square will be

Perimeter = 4 × 3

Perimeter = 12 units

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Related Questions

Please help me, 65 points to someone who can help me.

Answers

Answer:

x = -0.5 , x = -5.5

Step-by-step explanation:

Solving

-4x² = 24x + 114x² + 24x + 11 = 04x² + 24x + 36 - 36 + 11 = 0(2x + 6)² - 25 = 0(2x + 6)² = 25⇒ 2x + 6 = ±5

Case 1 : x = +5

2x + 6 = 52x = -1x = -1/2x = -0.5

Case 2 : x = -5

2x + 6 =  -52x = -11x = -11/2 x = -5.5
x= -1/2, -11/2 or in decimal form x=-0.5, -5.5

An art teacher buys 128 boxes of markers. Each box holds 16 markers. How many total markers does the art teacher buy?

Answers

Answer:

2048 markers

Step-by-step explanation:

One box has 16 markers and the teacher buys 128 boxes, then total would be

128 boxes x (16 markers / 1 box) = 2048 markers

Answer: 2048 Markers

Step-by-Step Explanation:

No. Of Boxes (b) = 128
No. Of Markers in each Box (m) = 16

Therefore,
Total = b * m
= 128 * 16
=> 2048

Total Markers = 2048

Find the Surface area?

Answers

Answer:

768 m²

Step-by-step explanation:

» Concepts

Surface area is the amount of area covered by the surface of an object. In a rectangular prism, the formula to find the TSA (total surface area) is [tex]2(wl+hl+hw)[/tex], where w = width, l = length, and h = height.

» Application

We are asked to find the surface area of a rectangular prism with a width of 14m, a length of 15m, and a height of 6m. Now, we have to apply the aforementioned formula using these measurements.

» Solution

[tex]2(14*15+6*15+6*14)[/tex] [tex]2(210+90+84)[/tex][tex]2(384)[/tex][tex]768[/tex]

The side lengths of a triangle are 5,3, and 4. Is this a right triangle?

Answers

Answer:

YES

Step-by-step explanation:

as 5,3 and 4 are Pythagorean triplets, with 5 being C/the hypothenuse it would work as a right angled triangle.

3^2+4^2=c^2

9+16=c^2

25=c^2            c=5

Give the value of C for which the equation has one solution.
What’s the answer for this? Please help

Answers

Answer:

[tex]c = 9[/tex]

Step-by-step explanation:

[tex] {(x - a)}^{2} = {x}^{2} - 2ax + {a}^{2} \\ 2ax = 6 \\ a = 3 \\ c = {a }^{2} \\ c = 9[/tex]

Select the correct answer from each drop-down menu. Graph shows 3 polygons on a coordinate plane. First polygon is at A(1, 1), B(2, 3), C(4, 3), D(3, 1). Second polygon prime ABCD is translated 2 units down and reflected. Third polygon double prime ABCD translated 2 units to the left and reflected. The figure shows three parallelograms: ABCD, A′B′C′D′, and A″B″C″D″. Polygon ABCD is to create parallelogram A′B′C′D′. Polygon ABCD is to create parallelogram A″B″C″D″.

Answers

The transformation that took place is a horizontal stretch by a factor of 2

How to explain the transformation?

We are given that Polygon ABCD transformed to create polygon A'B'C'D'. Clearly, the polygon is first a translation of the polygon ABCD 1 unit to the right and then it is horizontally stretched by a scale factor of 2.

Since the length of the polygon was earlier 2 units and then the length of the Polygon A'B'C'D' is 4 units. Hence, the transformation that took place in the Polygon ABCD is a horizontal stretch by a factor of 2

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Answer: A Horizontal Stretch by a Factor of 2

Step-by-step explanation:

Solve for the variable
5= 10/t + 3

Answers

Answer:

T=5

Step-by-step explanation:

5 -3 = 10/t

2 =10/t

2t = 10

T = 5

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

         Solve for the variable 5=10/t+3.

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

When solving an equation, we need to make sure that all variables are on the left-hand side, and all numbers are on the right-hand side.

Since we have numbers on both sides, we need to move all numbers to the right:-

[tex]\bold{5=\dfrac{10}{t} +3}[/tex]

[tex]\bigstar[/tex] Subtract 5 on both sides:-

[tex]\bold{0=\dfrac{10}{t} +3-5}[/tex]

[tex]\bigstar[/tex] On simplification,

[tex]\bold{0=\dfrac{10}{t} -2}[/tex]

[tex]\bigstar[/tex] Now, subtract 10/t on both sides:-

[tex]\bold{-\dfrac{10}{t} =-2}[/tex]

[tex]\bigstar[/tex] On simplification,

[tex]\bold{\dfrac{10}{t} =2}[/tex]

[tex]\bigstar[/tex] Multiply by t on both sides:-

[tex]\bold{10=2t}[/tex]

[tex]\bold{2t=10}[/tex]

[tex]\bigstar[/tex] Divide by 2 on both sides:-

[tex]\bold{t=5}[/tex]

Good luck with your studies.

[tex]\rule{300}{2}[/tex]

Felipe and Samantha use a payment plan to buy musical instruments.felipe writes the equation y=-30x+290 to represent the amount owed y,after x payments.The graph shows how much Samantha owns after each payment Who will pay more each month

Answers

An equation is formed of two equal expressions. Felipe is paying $6 more each month.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The equation that represents Felipe's payment per month is given as y=-30+290, therefore, the amount that Felipe pays every month is the gradient of the line slope of the equation y=-30+290 which is 30.

Similarly, the graph showing Samantha's payment, the slope will be,

m = (y₂-y₁)/(x₂-x₁) = (240-0)/(0-10) = -24

Thus, we can conclude that Felipe is paying $6(30-24)more each month, because the amount paid by Felipe is 30, while the amount paid by Samantha is 24.

Hence, Felipe is paying $6 more each month.

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Troy prepared 10 kilograms of dough after working 2 hours. How many hours did Troy work if
he prepared 25 kilograms of dough? Solve using unit rates.

Answers

Answer:

he worked 5 hours ..........

Answer:

5 hours

Step-by-step explanation:

to find unit rate:

10/2 which is 5

so 5 kg per hour

find for 25 kg:

25/5 which is 5.

so 5 hours.

What is 564-53.2
Explain how you worked it out
Then what is 700.3-89.3
Explain how you worked it out

Answers

564-53.2= 510.8
So you do 564-53 which is 511 and then you have to take away .2 which is 510.8
1=0.10


For this you do 700- 89= 611 and then you add .3 to 611 because we got rid of it earlier, and you subtract it with the other .3 that we got rid off and so the answer is 611

please help me find area and perimeter to this!!!!

Answers

Answer:

area: 105.3

perimeter: 66.7

Step-by-step explanation:

area: 13*16.2/2 = 105.3            formula S = B*H

perimeter: 31+16.2+19.5 = 66.7      

Answer: perimeter=67, Area = 105.3

Solution:

Perimeter: sum of every side
16.2+19.5+31=66.7

Area = base•height/2=16.2•13/2=105.3

A car used 1/72 of a galloon of gas to drive 1/3 of a mile.At this rate,how many miles can the car travel using 1 galloon of gas?

Answers

Answer:

24

Step-by-step explanation:

3 x 1/72 = 1 mile

72/3 = 24

The car will use 1 gallon of gas per 24 miles

The area of a rectangle is x² + 2x -15. If its length is x + 2 units, what is its width?

Answers

Length of the rectangle is 8 units

Step-by-step explanation:

Step 1: Find the length, let width be x.

Area of the rectangle = 48 units

Length = x + 2

⇒ Area = Length × Breadth

48 = x (x + 2)

48 = x² + 2x

x² + 2x - 48 = 0

x² + 8x - 6x + 48 = 0 (Product Sum rule to factorise)

x(x + 8) - 6(x + 8) = 0

(x - 6)(x + 8) = 0

⇒ x = 6, -8 (negative value is neglected)

∴ x = 6

x + 2 = 8

Which of the following sets of numbers is not a Pythagorean triple?

A: 5, 12, 13
B: 10, 15, 20
C: 7, 24, 25
D: 3, 4, 5

Answers

B:10, 15, 20 would be the answer

Find the quotient of 213.21 and 15.8. Round your answer to the nearest tenth.

Answers

Answer:

13.5

Step-by-step explanation:

213.21÷15.8= 13.494

Rounded : 13.5

A rectangle has an area of 243 square centimeters. Its length is 3 times its width. What are the dimensions of the rectangle?

Answers

Answer:

Length - 27 cm

Width  - 9 cm

Step-by-step explanation:

Here we go (hope this helps),

The area of the rectangle is 243. To get area, you do length x width. Your equation will look like this

3x (x) = 243

Simplify this using PEMDAS

3x^2 = 243

Next, you divide both sides by 3 to undo the times 3

x^2 = 81

Then, you take the square root of both sides to undo the squared symbol

x=9

Using this, you know the width is 9. Since the length is 3x the width, you know that 3 x 9 is 27 and you can clearly see that the dimensions are 9 and 27!

Have a great day! Hope this could help!

Hey circle has a diameter of 20.41 feet which measurement is closest to the circumference of a circle in feet?

Answers

Answer:

64.0874 or 20.41pi

Step-by-step explanation:

circumference = diameter x pi

C = D x pi

C  = 20.41pi(lets say pi is 3.14)

C = 64.0874

Graph the system of inequalities. Then use your graph to identify the point that represents a solution to the system.
y < 6
y ≥ –3x – 1

A. (0, 6)
B. (6, 0)
C. (-6, 5)
D. (-6, -2)

Answers

Answer:

Your answer is B

Step-by-step explanation:

6.14 Checkpoint: Systems of Linear Inequalities

I took the test.

What is the following sum?
If these equation.

Answers

[tex]4\left(\sqrt[5]{x^2 y} \right) +3 \left( \sqrt[5]{x^2 y} \right)\\\\=(4+3) \left( \sqrt[5]{x^2 y} \right)\\\\=7 \left( \sqrt[5]{x^2 y} \right)[/tex]

Answer:

[tex]7(\sqrt[ 5 ]{ { x }^{ 2 } y })[/tex]

Step-by-step explanation:

The equation:

[tex]4 \sqrt[ 5 ]{ { x }^{ 2 } y } +3 \sqrt[ 5 ]{ { x }^{ 2 } y } [/tex]

1) Collect like terms by adding their coefficients ( [tex]3[/tex] and [tex]4[/tex])

[tex](3+4)\sqrt[ 5 ]{ { x }^{ 2 } y }[/tex]

2) Calculate

[tex]7(\sqrt[ 5 ]{ { x }^{ 2 } y })[/tex]

A package of 8 notebooks costs $10.80. This equation can be used to determine the cost, n, in dollars, of each notebook in the package.

8n = 10.80

What is the cost, in dollars, of each notebook in the package?

Enter your answer in the box.

Answers

Answer:

$1.35

Step-by-step explanation:

8n = 10.80

Divide both sides by 8 to get n alone.

n = 10.80/8 = $1.35

By rounding to one significant figure, estimate the answer to these questions:

Answers

Answer:

To have one significant figure means to have one number with a significant value. Since all of the answers are greater than one, the final answer with the correct sig figs involves using the two leftmost numbers. If the second leftmost number is greater than 5, round the leftmost number up one unit. If the number is less than 5, leave the leftmost number alone. Finally, change all of the values besides the leftmost to zero. There should be no decimal place because having it would mean the zeros to the left of the decimal place are significant.

 29 x 31
--------------  =  3329.6      ------>     3,000
   0.27

 4.8 x 37
---------------  =  845.7       -------->    800
   0.21

 9.7 x 26
---------------   =  11463.6      ------->   10,000
  0.022

Please help........................................

Answers

Answer:

4:25

8:125

Step-by-step explanation:

Surface Ratio is the "Similarity Ratio" to the power of 2

Volume Ratio is the "Similarity Ratio" to the power of 3

It's logical and deductable by paying attention to the correlation between the "Side"s(or "Diameter"s) and the "Surface" and the "Volume"s in simple shapes like Circles and square.

By paying attention to the formula of the "Surface Area" and the "Volume" or the m /m^2 /m^3 ( the units of measurement) we can easily notice the relation.

The function f(x) = 2* and g(x) = f(x) + k. If k = 2, what can be concluded about the graph of
g(x)?
the graph of g(x) is shifted vertically
Select a Value
the graph of g(x) is shifted horizontally
Type here to search
RI

Answers

Answer:

The graph of g(x) is shifted up 2 units.

Simplify.
10(15 + n)
150 + 1077
50 + 77
150 + n
1507

Helpppp

Answers

Answer:

A

Step-by-step explanation:

In this problem you'd simply distribute the 10. So 10x15 and 10*n

150+10n

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

[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

       What is 10(15+n) equal to?

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

Multiply 10 times 15:-

150

Multiply 10 times n:-

10n

Add the terms:-

150+10n

Good luck.

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

Complete the function table for the function y=(1/2)x+3

Answers

Answer:

76

U

768

Is just for fun heh brother

I need help with this question.

Answers

To complete the chart make sure you to determine the number of girls and boys in each belt category, and verify the total people.

What does this task requires?

This requires you to complete the chart presented based on graph, a data chart, or similar.

How to complete the chart?Carefully read the graph or data chart.Start filling out each of the categories and find out the missing values. For example if there are 15 people with black belt and 8 are girls it can be concluded 7 people are boys.Add the total in each category and make sure these totals match the total people.

Note: This question is incomplete; due to this, the answer is based on general knowledge.

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Which trigonometric function does the graph below represent?

Answers

Answer:

I believe it 2 cos(20 - ℼ/8) - 1 or 2 sin(20 + ℼ/4) - 1

Step-by-step explanation:

A party favor is made up of four equal solids and is constructed from paper. Each of the four solids is open at the end. The net represents one of the solids.

A net of a solid has a square base with side lengths of 2 inches, and 4 triangular sides with a height of 3 inches. B is the base, and C, D, and A are the triangular sides.

How much paper is needed to make a party favor?

Answers

Answer:

B, 12, 48.

Step-by-step explanation:

Hope this helped!

The cycle of a traffic light at an intersection of two streets is 50 seconds green, 6 seconds yellow, and 14 seconds red. If you reach the intersection at a random​ time, what is the probability that the light is​ red?

Answers

Answer:

the probability that the light is​ red would be 5 or 5%

Step-by-step explanation:

if we add all of the possible outcomes together like so :

50+6+14 we will get 70

now we know we want to find out the probabilty  of it being red we need to divide 70 by 14 and we get 5 or 5% your welcome and me as a freind if you need more help or add me on messenger the 1 carlos is my name

3. Figure CDEF is a parallelogram. Find the length of each side.

Answers

Answer:

de=30,fc=30,cd=22

Step-by-step explanation:

so r =5

6*5=30

10*5-20=30

2*5+12=22

so the only left is fe so cd=fe

fe=22

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