Under a dilation centered at the origin, the vertex, (−2, 4), of a polygon is moved to the point (4, −8) . What is the scale factor of the dilation?

Answers

Answer 1

Answer:

-2

Step-by-step explanation:

I took the quiz.

Answer 2

The scale factor of the dilation is -2.

How does dilation works?

Dilation of a figure will leave its sides get scaled (multiplied) by same number. That number is called the scale factor of that dilation.

It's also called scaling of a figure, but due the involvement of coordinates, it involves a center of a dilation, which is like a pinned point which stays at same place after dilation.

It's like we enlarge or shorten the size of the figure (or keep it same, when scale factor = 1).

Given that Under a dilation centered at the origin, the vertex, (−2, 4), of a polygon is moved to the point (4, −8) .

Then the scale factor of the dilation

(-2k , 4k )= (4, −8)

Thus, -2k = 4

k = -2

Hence, the scale factor of the dilation is -2.

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Related Questions

Which expression forms an equation? 60 ÷ 6 + 5, 40 ÷ 2 + 1, 40 ÷ 1 + 5, 60 ÷ 2 + 3

Answers

Answer:

None

An equation must have an equal to sign meaning an equation must state that what is on the right must equal to what is  on the left.

Step-by-step explanation:

[tex]60 \div 6 + 5\\FALSE \\Follow\:the\:PEMDAS\:order\:of\:operations\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\\\:60\div \:6\::\quad 10\\\\=10+5\\\\=15[/tex]

George spend $17.25 on pecans and
peanuts at a farmer's market. He bought
3 1/2 pounds of pecans
for $3.20 per pound
and 5 1/2 pounds of peanuts. What was the
price per pound for the peanuts George
purchased?

Answers

11.2 for pecans
6.05 left for peanuts
6.05 / 5.5
Therefore the answer is 1.10

Solve for x. 3(x−4)/2=9 Enter your answer in the box. x =

Answers

Answer:

x = 10

Explanation:

Answer:

x=5

Step-by-step explanation:

3(x-4)/2=9

Distribute 3

3x-12/2=9

3x-6=9

add 6 to both sides

3x=15

divide both sides by 3

x=5

Simplify: -5x +11x - 4+2
A 16x-6
B 4x
7x-3
D
6x-2

Answers

Answer:

Option D

Step-by-step explanation:

Combine Like Terms.

[tex]-5x+11x-4+2\\\\\boxed{6x-2}[/tex]

Hope this helps.

Answer:

D.) 6x - 2

Step-by-step explanation:

First, you add all like terms.

-5x +11x = 6x

-4 + 2= -2

= D.) 6x - 2

Hope this helps!

Find the are of the green in the circle.

Answers

Answer:

  25.12 cm²

Step-by-step explanation:

The area of a circle is given by the formula ...

  A = πr²

where r is the radius. Here, the diameter is given as 8 cm, so the radius will be half that, or 4 cm. The area is then ...

  A = 3.14(4 cm)² = 50.24 cm²

The green shaded part is 1/2 a circle, so is half this area:

  shaded area = 25.12 cm²

What is the base number for the system of units ? In other words by what number do we multiply to move up in scale ? _____

Answers

10. Each time you want to move up the scale, the number is multiplied by 10. The opposite is true when moving down; you must divide by 10.

On what interval is the function f(x) = -2|x + 1| − 3 decreasing?

A. (-1, ∞)
B. (-3, ∞)
C. (-∞, -1)
D. (-∞, -3)

Answers

Answer:

answer is b iam sure this is correct

Answer:

the answer is a

Josiah skateboarded from his house to school 4 miles away. It takes him 20 minutes. a. If Josiah's speed, in miles per minute, is constant, what is the constant of proportionality. *
b. How many minutes will it take Josiah to skateboard to his friend Sebastian's house, which is 3 miles from school, if he travels at the same rate that he did form his house to school?

Answers

Answer:  35 miles

Step-by-step explanation:

If 4 miles is 20 minutes that mean 1 mile is 5 minutes so just add 4+3 which is 7 then multiply that by 5 which is 35 so it takes him 35 minutes to go to his friends house

The Josiah's speed, the constant of proportionality is 0.2 miles per minute.The time taken by Josiah on his skateboard to Sebastian's house is 15 minutes.

Given:

Josiah skateboarded from his house to school 4 miles away. It takes him 20 minutes.Josiah's friend Sebastian's house is 3 miles from school.

To find:

The constant of proportionality.The time taken by Josiah on his skateboard to Sebastian's house

a.

Distance from Josiah's house to school = 4 miles

Time taken by Josiah on a skateboard to cover 4 miles = 20 min

The speed of Josiah's skateboard = S

[tex]Speed=\frac{Distance}{Time}\\\\S=\frac{4 miles}{20 min}\\\\S=0.2 miles/min[/tex]

The Josiah's speed, the constant of proportionality is 0.2 miles per minute.

b.

Distance From school to Sebastian's house = 3 miles

Time taken by Josiah on a skateboard to travel to Sebastian's house from school = t

The Josiah's speed, the constant of proportionality = 0.2 miles/min

[tex]0.2 miles/min=\frac{3 miles}{t}\\\\t=\frac{3 miles}{0.2 miles/min}=15 min[/tex]

The time taken by Josiah on his skateboard to Sebastian's house is 15 minutes.

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49 - (32+8.3) I need help doing this

Answers

Answer:

234

Step-by-step explanation:

Answer:

The answer would be 8.7

Step-by-step explanation:

First, you would start with the parentheses. So add 32+8.3 to get 40.3.

The equation will look like this: 49-40.3

The final step would be subtraction.

49-40.3= 8.7

You will get 8.7 as your answer!

I hope this helps!! ;-)

Twice a number increased by 3 is greater than six

Answers

Answer:

2x + 3 > 6

Step-by-step explanation:

Hopefully this helps you :)

pls give me brainlest :)

Brad’s checking account starts off with a balance of $126.50. Throughout the week, Brad pays a bill for $87.21, and pays $5.64 for breakfast. He deposits $15.00 but then pays another bill for $55.25. At the end of the week, he gets a notice from the bank that he has a negative balance. How much does Brad need to deposit into his account to get to a $0 balance?

Answers

Answer:

$6.60

Step-by-step explanation:

2 1/3 + 6 3/5 = What ?​

Answers

Answer:

[tex]8\frac{14}{15}[/tex]

Decimal form: [tex]8.933333[/tex]

Step-by-step explanation:

[tex]2 \frac{1}{3}+6\frac{3}{5}[/tex]

To solve, you will need to add.

First, add the whole number together.

[tex]2+6=8[/tex]

[tex]\frac{1}{3}+\frac{3}{5} \\=14/15[/tex]

So now add everything together(the whole number and fraction).

[tex]8+\frac{14}{15}=8\frac{14}{15} (Answer)[/tex]

Hope this helps!

what is the value of 0.75 - 0.6? write your answer as a fraction in lowest terms.​

Answers

Answer:

3/20

Step-by-step explanation:

.75 - .6 = .15

put .15 over 100 then simplify by 5 =3/20

Answer:

3/20

Step-by-step explanation:

0.75= 75/100

0.6= 60/100

75/100- 60/100= 15/100

15/100 ---> 3/20

Hope this helps!

square root of 8 is between 7 and 9 true or false

Answers

Your answer would be false, I hope that helps!

The given statement is false.

We have the following statement -

Square root of 8 is between 7 and 9.

We have to determine if it is true or false.

What do you mean by square root of a number ?

Square root of a number is a value, which on multiplication by itself gives the original number.

According to the question -

A = [tex]\sqrt{8}[/tex] = 2.82

Clearly, it is not between 7 and 9.

Therefore, the statement is false.

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help
Select all that apply. Which expressions are equivalent to 6r + 12?
x(6 +12)

2(3x + 6)

6(x+12)

6(x + 2)

3(2x + 4)​

Answers

Answer:

2(3x+6), 6(x+2), and 3(2x+4)

Step-by-step explanation:

-5n + 31 = -14n - 5 what is the equation

Answers

Answer:

-4

Step-by-step explanation:

-5n+31=-14n-5

-5n+14n=-5-31

9n=-36

n=-36/9

n=-4

Answer:

n = 4

Step-by-step explanation:

-5n + 31 = -14n - 5

31 + 5 = -14n - 5n

36 = -9n

-9n = 36

-9n = -36

n = 36/9

n = 4

minus minus cut

The following graph predicts the time it takes to hike different distances. Which statements about the graph are true?
(Choice A)
A
The point (0, 0)(0,0)left parenthesis, 0, comma, 0, right parenthesis predicts that it takes 000 hours to hike 0 \text{ km}0 km0, start text, space, k, m, end text.

(Choice B)
B
The point (3, 7.5)(3,7.5)left parenthesis, 3, comma, 7, point, 5, right parenthesis predicts that it takes 7.57.57, point, 5 hours to hike 3 \text{ km}3 km3, start text, space, k, m, end text.

(Choice C)
C
None of the above

Answers

Answer:

The answer is [tex]A\\[/tex]

Answer:

A

Step-by-step explanation:

I got it right on khan

Alice has 3 pieces of cloth she embroiders different types of designs on each piece of cloth so that each design covers 1/16 of the cloth. How many types of designs can Alice embroider on the three pieces of cloth?

Answers

Answer:

48 designs

Step-by-step explanation:

Total pieces of clothes = 3

Area covered by each design on a piece of cloth = 1/16

How many types of designs can Alice embroider on the three pieces of cloth

Number of designs Alice can embroider on 3 pieces of cloth = Total pieces of cloth / area covered by each embroidery

= 3 ÷ 1/16

= 3 × 16/1

= 48

Therefore, Alice can embroidery 48 types of designs on the 3 pieces of clothes

13(2x - 1) - 3(9x + 8) = 10

Quick help?

Answers

Answer:

1

Step-by-step explanation:

13(2x-1)-3(9x-8) = 10

or, 26x-13-(27x-24) = 10

or, 26x-13-27x+21 = 10

or, 11 - x = 10

or, 11 - 10 = x

therefore, x = 1

I hope it helped

f(x) = (x + 1)2
What is the domain of f?

Answers

Answer:

all real values of x

Step-by-step explanation:

khan academy says so

The domain of the parabolic function is all real number. Then the correct option is E.

What are domain and range?

The domain means all the possible values of x and the range means all the possible values of y.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The function is given below.

f(x) = (x + 1)²

Then the domain of the parabolic function is all real number.

Then the correct option is E.

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how would you make this into an equation 10 more than the product of 7 and 8

Answers

Answer:

7*8+10=66

Step-by-step explanation:

Use the operations from the sentence into the equation and solve.

Which statement best describes the value of V8? I’m so confused:((

Answers

Answer:

c

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

√8 = 2.828

Just simplfy it, and then check where it lies between.

Hope this helped!

:D

what is -18 - ( -18 )

Answers

Answer:

0

Step-by-step explanation:(-18)

- + - = +

So

(-18) + (18) is 0

Answer:

The answer would be 0.

Step-by-step explanation:

-18 - (18) = 0, because 0 can not ever be negative or positive.

It is the same as saying 18 - 18 which equals 0.

Someone please help! What is the solution to w - 9 = 15? 5 1/2 6 1/2 24 1/2 23 1/2

Answers

Answer:

w=24

Step-by-step explanation:

w-9=15

w=15+9

w=24

Answer:

24 1/2

Step-by-step explanation:

just did  

Express the following fraction in simplest form using only positive exponents.
6x^3
(2x^4)^2

Answers

Answer:

6*3=18

2*4=8*2=16

16

18

33

Step-by-step explanation:

Mary says the slope of this line is −6. Dayana says the slope is
2/5​. Who is correct?
Y=2/5x-6

Answers

Dayana is correct, the slope is of the equation is 2/5. -6 is the y-intercept

What is another name for line n?
Oline ST
line P
line QP
line

Answers

Plane ABD; Plane CBD are the correct answers

A line is found to be a one dimensional figure, which has length but no width. The another name for the line n is line. The two points which lie on the same line are called collinear points. The correct option is D.

What is a line?

A straight set of points which can extend in opposite directions can be defined as the line. It has no ends in both directions, no thickness and it is one dimensional. It is determined by two points in a two dimensional plane.

In geometry, there are different types of lines like horizontal and vertical lines, parallel and perpendicular lines. The lines play an important role in the construction of different types of polygons.

A square is made by four lines of the same lengths, whereas a triangle is made by joining three lines end to end.

Thus the correct option is D.

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The number 27 raised to which power will equal 3

Answers

Answer:

-3

Step-by-step explanation:

herp derp herp derp herp derp

Step-by-step explanation:

Hey there!!

The power of 25 should be 1/3 to make it equal to 3.

Because,

=[tex] {27}^{ \frac{1}{3} } [/tex]

=[tex] {3}^{3 \times \frac{1}{3} } [/tex]

=[tex] {3}^{1} [/tex]

= 3

Hope it helps...

The line segment is rotated 90 degrees counterclockwise about the origin to form C′D′. Which statement describes C′D′

Answers

Answer: the answer is CD is half the length of CD

Step-by-step explanation:

Aliyah $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

Answers

Each pencil cost $2.

Explanation: She had $24 before buying the pencils and after she had $10. 24-10=14 so the total she spent on pencils was $14. She bought 7 pencils so you divide 14 by 7 (14/7=2) which equals 2. So each pencil cost $2.

Answer:

They are $2 dollars a piece

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