What are the scale factor and the center of dilation?

What Are The Scale Factor And The Center Of Dilation?

Answers

Answer 1

Answer:

Scale factor 2.5, Center of dilation is (-8,3)

Step-by-step explanation:

A dilation is a non rigid transformation. We know that a center of a transformation expect translations mean that it dont matter what change we do to the the pre image to get the new image. The center will stay where it was at all times. Looking at the figure, between the pre image and new image the only point that stays is Point K and point K' . so K is the center of the dilation and that at (-8,3).. Since the pre image is smaller than the new image we know the image scale factor is greater than 1 so the scale factor is expanding. To find the scale let look point K and L we need to find how far are they away from each other and which in this case is 4. Now let look at point K' and Point L'. There distances is 10. You can do the same for K and J. K and J distance is 2 units right and 4 units down. K' and J' distance is 5 units right and 10 units down.

Using this let set a proportion of one point from bigger figure to smaller figure. Distance in current image/ Distance in pre image. Let use K and J so it will be 10/4=2.5 so the scale factor is 2.5


Related Questions

select ALL expressions that are equal to 8 ( 2 - 4 r ) .​

Answers

Answer:

16 - 32x

Step-by-step explanation:

8 (2 - 4x)

= (2 • 8) (8 • - 4x)

= 16 - 32x

PLS I NEED HELP NOW!!!

Answers

Answer:

The third answer

Step-by-step explanation:

Rate of change is slope which is 10 for the first one and you can use rise over run to find slope for the graph

In a square, a diagonal measures 15 inches. Find the perimeter

Answers

42.43 inches. hope this helps!!

Square ABCD is shown below.

If BD = 8x - 50, and DE = 2x + 5, find BE.

A) 15

B) 35

C) 25

D) 45

Answers

Answer:

35 is the length of BE

Step-by-step explanation:

2(2x + 5) = 8x - 50

4x + 10 = 8x -50

10+50 = 8x-4x

60= 4x

15 = x

2x + 5 = length of BE equal to length of DE

2(15) +5 = BE

30 +5

35 is the length of BE

Drag each label to the correct location on the graph, NOT ALL TILES WILL BE USE

Darren hires a cab. The graph represents how much it will cost Darren in dollar terms of the number of miles he travels in the cab. identify the values and expressions represented in the graphed function.

3.5

2.5

6

2.5+3.5x

3.5+2.5x

6+2.5x

NOT ALL TILES WILL BE USED

Answers

Answer: y = 3.5+2.5x

The rate of change is 2.5 dollars per mile

The intial value is 3.5

Step-by-step explanation:

Answer:

Answer: y = 3.5+2.5x

The rate of change is 2.5 dollars per mile

The intial value is 3.5

Step-by-step explanation:

Got it right on a test

1.If 9 pencils cost .45, what would 12 pencils cost?

Answers

Answer:

9 pencils = 0.45

12 pencils = 0.60

Brainiest plz  :)

Answer:

$.60

Step-by-step explanation:

9=.45

.45/9=.05

.05x12=0.60

$.60

There were a total of 480 tickets sold for the school play. Adult tickets sold for $8 and student tickets sold for $5. The ticket sales brought in $3369. How many adult tickets and student tickets were sold?

Answers

Step-by-step explanation:

Let A be the number of adult tickets and

let S be the number of student tickets.

From the question we know that

A + S = 480

The revenue from the adult tickets is

A x $8

and the revenue from the student tickets is

S x $5

So the total revenue is

A x $8 + S x $5 = $3369

We can change the first equation to

S = 480 - A

and then plug this into the second equation to get

A x $8 + (480 - A) x $5 = $3369

Simplify the equation to obtain

A = 323

Plug this value into the first equation to obtain

S = 157

Can someone help me with real numbers

Answers

Answer:

Answer is on the pic

Explanation:

I hope it's helpful!

What is the value of "twelve more than the quotient of a number and two, decreased by four" when n = 4?

Answers

Answer:

10

Step-by-step explanation:

Let

the number = n

The quotient of a number and two = n / 2

twelve more than the quotient of a number and two,

(n/2 + 12)

twelve more than the quotient of a number and two, decreased by four

(n/2 + 12) - 4

when n = 4?

(n/2 + 12) - 4

= (4/2 + 12) - 4

= (2 + 12) - 4

= 14 - 4

= 10

GUYS HELP
-5 = -11 + 2m

Answers

Isolate the variable by dividing each side by factor that don’t contain the variable m=3

Which statements are true? Check all that apply.

Answers

Answer:

A is in Quadrant I

D is in Quadrant III

Step-by-step explanation:

Oliver didn't have any money to play a game at the fair. He borrowed four dollars from Annie and told her he'd pay her next week once he got his allowance. After paying for the game, what number represents the amount of money Oliver has now?​

Answers

Answer:

He practicably stole her money

Step-by-step explanation:

that scu m bag

Answer:

Step-by-step explanation:

If Oliver just played the game he has $0 dollars but in terms of debt, he has -$4.

Joe has 0.4 of a black forest cake, which is 14 slices of the cake,left. How many slices of cake were there originally?

Answers

Answer:

35 slices originally

Step-by-step explanation:

1. 0.4 means 40%

2. if 14 slives equal 40% we need to divide by 4 to find 10%

3. 14 divided by 4 is 3.5

4. then we multiply 3.5 (10% of the cake) by 10 because 10•10=100(%)

3.5•10 equals 35 slices



Forty percent of the 70 buttons in the box had 5 holes

a. What fraction of the buttons did not have 5 holes?

b. How many buttons did not have 5 holes?

Answers

Answer: a. 0.6

b. 42 buttons

Step-by-step explanation:

a. What fraction of the buttons did not have 5 holes?

Since forty percent of the 70 buttons in the box had 5 holes, the number of buttons in the box that doesn't have 5 holes will be:

= 100% - 40%

= 60%

= 60/100

= 0.6

b. How many buttons did not have 5 holes?

This will be:

= 60% × 70

= 0.6 × 70

= 42 buttons

please help me on this will give you brainliest!!

Answers

Answer:

AB = 2

Step-by-step explanation:

the triangles are similar so that means there is a constant ratio for each side length. so comparing the ratios from the bigger triangle to the smaller triangle,  leaves us with 9/3 and 15/5. if you take those and divide them you get 3 for both of them which is the constant. so then in order to find the length of AB just take the side length of XY (6) and divide it by 3 (the constant ratio) and there you have your answer!

hope this helps.

At which values of x does the graph of the function F(x) have a vertical asymptote? Check all that apply. F(x)= x-5 / x^2 + 3x -18

Answers

Answer:

x=3 , x=-6

Step-by-step explanation:

F(x)= (x-5) / (x² + 3x -18)

vertical asymptote: set denominator to 0 and solve x

x² + 3x -18 = (x+6) (x-3) = 0

x = 3  or x = -6

Gina shows the steps she took to find the solution of the inequality below.
Describe the error that Gina made and write the correct solution.
19 - 2(1 – x) < 13
19 - 2 + 2x < 13
2x < -4
X > -2

Answers

Answer:

hello,2 th made from the wrong place.

because She should have distributed the -2 inside the parentheses.

the process should be like this;

19-2(1-x)<13

17(1-x)<13

17-17x<13

-17x<13-17 (17 goes to the opposite side as -17)

-17x<-4 (we divide each side by 17)

x= -4/-17

I hope you understand. There are errors in the first 2 parts of the question.

Find the exact value of x. Round to the nearest tenth.

Answers

X = 25

a^2 + b^2 = c^2
19^2 +16^ = c^2
617 = c^2
(Square root 617)
x=24.83
x=25

can someone help me?

Answers

its just asking where is the line segment!

So it looks like to me that from 4, 1 unless it might be the other way around 1,4 is the anwser its one of those to i get it mixed up alot lol

Answer:

No

Step-by-step explanation:

It appears the only way to talk to you is by answering your questions...so whatever.

Fan activity though? Really? Worst excuse ever. Ew.

Ray predicted he would score 18 points during a basketball game. He only scored 12 points. What is his percent error

Answers

Answer:

hey read this no quema cuh

Step-by-step explanation:

Answer:

His percentage error is 33%.

Step-by-step explanation:

18 - 12 = 6

6 is one-third of 18, which is equivalent to 33%.

SOMEONE HELP PLEASE EASY MATHHH PERCENTAGE OF AN AMOUNT

Answers

Hey there!

Guide for you do tackle them on your own in the nearer future.

• Percentages are out 100

• The word “of” means MULTIPLY in mathematics

1.)

10% of 40

10% = 10/100

= 10/100 • 40

10/100 = 1/10

1/10 • 40

40/10 = 4

4/1 = 4

Answer: 4 ☑️

2.)

25% of 8

25% = 25/100

= 25/100 • 8

25/100 = 1/4

1/4 • 8

8/4 = 2

2/1 = 2

Answer: 2 ☑️

3.)

20% of 5

20% = 20/100

= 20/100 • 5

20/100 = 1/5

1/5 • 5

5/5 =1

1/1 = 1

Answer: 1 ☑️

Good luck on your assignment and enjoy your day!

~Amphitrite1040

Given the following trapezoid, if QR=8 and UT=12, find the length of the midsegment VS?

Answers

Answer:

The midsegment of a trapezoid is the average of the two bases.

VS=(QR+UT)/2=10

Step-by-step explanation:

i need help with 9th grade work

Answers

Answer: h(-1) is -3.

Step-by-step explanation: Given that the input of the function is -1, we can subsitute that for x.

2(-1) - 1

= -2 - 1

= -3.

Answer:

h (-1)  

  -3

Step-by-step explanation:

h (-1) = 2 (-1) - 1

simplify 2.. (-1) - 1

answer= -3

[tex]\left \{ {{5x-3y=-8} \atop {xy=12}} \right.[/tex]

I don't understand the equation, please someone explain me how to resolve.

Answers

Answer:

[tex]\left \{ {{5x-3y=-8} \atop {xy=12}} \right.\\\\<=>\left \{ {{5x=3y-8} \atop {xy=12}} \right.\\\\<=>\left \{ {{5x=3y-8} \atop {5xy=60}} \right.\\\\<=>\left \{ {{5x=3y-8} \atop {(3y-8)y=60}} \right.\\\\<=>\left \{ {{5x=3y-8} \atop {3y^{2}-8y -60=0}} \right.\\\\<=>\left \{ {{5x=3y-8} \atop {3y^{2}-18y+10y-60 =0}} \right.\\\\\\<=>\left \{ {{5x=3y-8} \atop {3y(y-6)+10(y-6)=0}} \right.\\\\<=>\left \{ {{5x=3y-8} \atop {(3y+10)(y-6)=0}} \right.\\\\[/tex]

<=> 5x = 3y - 8

     3y + 10 = 0 or y - 6 = 0

<=> 5x = 3y - 8

     y = -10/3 or y = 6

+) with y = -10/3 => 5x = -10 - 8 <=> 5x  = -18 <=> x = -3.6

+) with y = 6 => 5x = 3.6 - 10 = 8 <=> x = 8/5 = 1.6

Step-by-step explanation:

How is adding and subtracting rational numbers similar and different than adding and subtracting integers?

Answers

Answer and explanation:

A rational number is a number that can expressed as fraction where the demoninator of the fraction is not zero, example 2/3, 5/1, 4/6 etc

An integer is a whole number, negative or positive example - 2, 3, -4, 1 etc

Adding and subtracting integers and rational numbers are not very much different. Most numbers are rational numbers anyway. When adding rational numbers 1/2+3/1 for instance, we simply add them like normal fractions:

1/2+3/1= 1+6/2=7/2=2 1/2

When adding intergers 2+4, we add normally as in the number line = 6

can u please help me with this

Answers

Answer:

d) centimeters

cat average height is 23-25 cm

if you would write it in meters it would be 0.23-0.25 m

in mm 230-250mm

Its just the most convinient

A certain city has a population of about 100,000. There are 3,101 people with red hair in the city. Which of these is closest to the probability that a randomly selected person in the city has red hair?

Answers

Answer:

3%

hope this helps!

Step-by-step explanation:

The closest probability of a randomly selected person in the city having red hair is approximately 0.03 (or 3%).

What is probability?

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

A certain city has a population of around 100,000 people. In the city, there are 3,101 people with red hair.

The required probability can be calculated by dividing the number of people with red hair by the total population of the city:

= 3,101 / 100,000

= 0.03101,

It can be rounded to 0.03.

Thus, the required probability is 0.03.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ6

PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!
A rectangular pyramid has a volume of 216 in³. A rectangular prism has the same height as the rectangular pyramid and a base that is congruent to the base of the rectangular pyramid.

What is the relationship between the volume of the rectangular pyramid and the rectangular prism?

A.The volume of a rectangular prism is 2 times the volume of a rectangular pyramid. The volume of the rectangular prism is 432 in3.

B.The volume of a rectangular prism is 13 the volume of a rectangular pyramid. The volume of the rectangular prism is 72 in3.

C.The volume of a rectangular prism is 12 the volume of a rectangular pyramid. The volume of the rectangular prism is 108 in3.

D.The volume of a rectangular prism is 3 times the volume of a rectangular pyramid. The volume of the rectangular prism is 648 in3.

Answers

The relationship between a prism and a pyramid is the volume of a rectangular prism is 3 times the volume of a rectangular pyramid. The volume of the rectangular prism is 648 in3.

What is a rectangular prism?

A rectangular prism is a 3-dimensional object. It has six rectangular faces .  It has 8 vertices, 6 faces, and 12 edges. The volume of a rectangular prism = width x height x length

What is a rectangular pyramid?

A rectangular pyramid is a three-dimensional object. It is made up of a rectangular base and a triangular face.  The volume of a rectangular pyramid = 1/3(width x height x length )

To learn more about rectangle pyramid, please check: https://brainly.com/question/9222686

Answer:

It  is C

Step-by-step explanation:I Have the exact answer on my test

Two sisters want to save money to buy a game. The game costs $90. One sister has $36 and the other has $40. How much more money do they need?

Answers

14. 36+40= 76. 90-76=14. Please mark me Brainliest!
Well that is simple, 36 plus 40 is 76 then you do 90-76=14 that means 14 dollars

what is M?
12(m + 15)=900

Answers

Answer:

M = 60

Step-by-step explanation:

First, use the distributive property:

12(m + 15) = 900

12 x m = 12m

12 x 15 = 180

We get the equation 12m + 180 = 900

Subtract 180 from both sides.

12m + 180 - 180 = 900 - 180

We get the equation 12m = 720

Divide by 12 on both sides.

12m/12 = 720/12

We get m = 60

I would appreciate brainliest but if not that's ok!

Answer:

60

Step-by-step explanation:

The equation is 12m +180=900 because we already did the distributive property. So now we have to minus 180 from both sides which gets us 12m=720. Now we divide both sides by 12. So 12m/12=m and 720/12=60. This leaves us with the answer, m=60.

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