A triangle is dilated with a center of dilation at the origin. Point P is on the figure and P' is the corresponding point on the image of the dilation. Point P is at (-2, 3) and P' is at (-8, 12). Which rule best represents the dilation? *

Answers

Answer 1

Answer:

(x, y) → (4x, 4y)

Step-by-step explanation:

Dilation is applied by the rule:

(x, y) → (kx, ky), where k is the scale factor

We have

(x, y) = (-2, 3) and (kx, ky) = (-8, 12)

Substitute and solve for k

-8 = -2k and 12 = 3k  ⇒ k = 4

So the rule is

(x, y) → (4x, 4y)

Related Questions

A male polar bear is 2 7/9 meters long. A female polar bear is 1 5/6 long. Sidney thinks the male polar bear is 1 2/3 meters longer than the female polar bear. She is incorrect. How did she get that answer?

Answers

Answer: See explanation

Step-by-step explanation:

The difference in the length of the polar bear will be:

= 2 7/9 - 1 5/6

The lowest common multiple of 9 and 6 is 18.

= 2 7/9 - 1 5/6

= 2 14/18 - 1 15/18

= 17/18

She is incorrect as she subtracted the denominator from the numerators and didn't find their lowest common multiple. She got the answer this way:

= 2 7/9 - 1 5/6

= (2 - 1) (7-5)/(9-6)

= 1 2/3

What is the area of this triangle?

Answers

Answer:

The area of the triangle is 24 inches.

Step-by-step explanation:

First you multiply 8 by 6.

8 * 6 = 48

Next you divide by 2 because a triangle is half of a square.

48 ÷ 2 = 24

So, the answer is 24.

Hope this helps! :)

The area of triangle with base 6 inches and height 8 inches is 24in² .

Given, Right angled triangle .

Area of triangle = [tex]\frac{1}{2} \times b \times h[/tex]

Here,

b = base of triangle

h = height of triangle

Substitute the values,

Area of triangle = [tex]\frac{1}{2} \times b \times h[/tex]

[tex]= \frac{1}{2} \times 6 \times 8\\ = 3 \times 8\\= 24in^2[/tex]

Know more about area of triangle,

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Jerome is a dietician who tracks his daily caloric intake from different sources of nutrients. Here are summary statistics for his daily values: Let T represent the total calories from fat, protein, and carbohydrates that Jerome consumes on a randomly chosen day. Find the standard deviation of T​

Answers

Answer:

It can not be determined from the information given because the calorie sources are not independent.

Step-by-step explanation:

Explained in answer above.

There is no enough information to calculate the standard deviation of T.

Check below on how to determine the standard deviation

What is standard deviation?

The standard deviation of a dataset is how much the data elements of the dataset are far from the mean or average value of the dataset

The given parameters are the mean and the standard deviations of calories from fat, protein, and carbohydrates

These values are not enough to determine the standard deviation of T

Hence, there is no enough information to calculate the required standard deviation

Read more about standard deviation at:

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Work out the difference, in minutes, between 1 hour 50 minutes and 1 3/4 hours

Answers

Answer:

Step-by-step explanation:

1 hour nd 50 = 60 min +50 min= 110 minutes

1 hour and 3/4= 60/4= 15 x 3= 45

1 hour and 3/4= 60 min + 45 min= 105 minutes

110- 105= 5 minutes difference

5 minutes

1/4 of an hour is 15 minutes so times that by three you get 45 minutes. 50 minutes - 45 minutes = 5 minutes,

Why does the value of money in a savings account increase overtime

Answers

Answer:

Because it earns interest

Step-by-step explanation:

We save money in the financial institutions like banks and micro-finance institutions. This money increase is known as interest. So the money you save increase in value over the time because it earns interest.

Answer:

the bank pays you interest

Step-by-step explanation:

The bank is paying you to keep your money and their storage because they give their money to other people so for that they give you like a cent or more a month based on how much money you put in annually

Order these numbers from least to greatest.
2.2, 2.1021, 2.104, 2.12

Answers

2.1021, 2.104, 2.12, 2.2

Answer:

2.1021,2.104,2.12,2.2

Step-by-step explanation:

I think I got it right, sorry if it wrong!

Solve the simultaneous equations.
2x + y=120
x + y=70

Answers

Answer:

(50, 20)

Step-by-step explanation:

y = -2x + 120

x + (-2x+120) = 70

  -x = -50

x = 50

 y = -2x+120

 y = -2(50)+120 = 20

{x,y} = {50,20}  

cuál es el resultado de 3/5 - 1/2?

A._ 1/10
B._ 2/7
C._ 2/3
D._ 4/7​

Answers

La respuesta es la C :

2/3

Which statement is true about the given information

Answers

Answer:

BD = CE

Step-by-step explanation:

What is the mad of the following data? 8, 2, 7, 8, 6, 10, 2, 1, 10, 6

Answers

2 and 10 I’m pretty sure

Which boxes do I select?

Answers

Answer:

4th box

Step-by-step explanation:

WOSJAJZHQHDJC HELP PLEASE ‍♀️‍♀️‍♀️

Answers

Answer:

Step-by-step explanation:

either b or c not sure

-4
Solve the equation
3
+
x + 1
x-1
2-x
a.
5
c.
6
13
15
b. 9
d.
13
15

Answers

The answer would be a. 5/13

Amanda has an envelope that is 2 1/4 inches tall. The envelope is 4 1/3 times as long as it is tall. How long is her envelope?

Answers

Answer:

its 2 1/2 its width

Step-by-step explanation:

A cell phone company charges $39.99 flat fee each month, plus $0.05 per minute. If m represents the number of minutes used in a month, which expression can be used to calculate a monthly payment?


39.99 + m

39.99 + m

0.05m + 39.99

0.05 m + 39.99

39.99m + 0.05

39.99 m + 0.05

0.05m

0.05 m

Answers

Answer:

Step-by-step explanation: A cell phone company charges $39.99 flat fee each month, plus $0.05 per minute. If m represents the number of minutes used in a month, which expression can be used to calculate a monthly payment?

39.99 + m

39.99 + m

0.05m + 39.99

0.05 m + 39.99

39.99m + 0.05

39.99 m + 0.05

0.05m

0.05 m

7/16 in decimal form​

Answers

Answer:

0.4375

Step-by-step explanation:

I already asked this but no one answer so I'm asking again what shape is this ​

Answers

Octagon!

I hope this answer helped! please rate 5 stars >:)

Answer:

That's an octagon since it has eight sides.

Three ballet dancers are positioned on stage. Luca is straight behind Seth and directly left of
Avery. If Seth and Luca are 2 feet apart, and Avery and Seth are 6 feet apart, what is the
distance between Luca and Avery? Ihnecessary, round to the nearest tenth.

Answers

Answer:

8 feet apart

Step-by-step explanation:

Answer what you can please and show work. I will mark you brainliest.

Answers

Answer:

part 1:

1) AB = BC = 10

2) DE = sqrt(10² - 9²) = sqrt(19)

3) CED = 90⁰

4) BCD = (90⁰ - 53⁰).2 = 74⁰

part 2:

because FGHJ is a rhombus

=> GK = KJ

<=> 3x + 1 = x + 9

<=> 2x = 8

<=> x = 4

and we have:

GHK + FGK = 90⁰

<=> (4y - 8)/2 + y + 4 = 90⁰

<=> 2y - 4 + y + 4 = 90⁰

<=> 3y = 90⁰

<=> y = 30

5) with x = 4 => GJ = 2KJ = 2.(4 + 9) = 26

6) JK = 4 + 9 = 13

7) with y = 30, HFJ = 90 - FGK = 90 - 34 = 56⁰

8) HJF = 2.FGK = 2.34 = 68⁰

part 3:

because MNLO is rectangle

=> MP = PO

<=> 5a - 7 = 2a + 8

<=> 3a = 15

<=> a = 5

9) with a = 5, MO = 2.PO = 2.(2.5 + 8) = 2.18 = 36

10) NP = PO = 2.5 + 8 = 18

11) LM² = LN² - MN² = MO² - 26² = 36² - 26² = 620

=> LM = 2sqrt(156) = 24,9

12) tan NMO = NO/MN = LM/MN = 24.9/26

=> NMO = 43,8⁰

part 4:

because RSTU is square

=> SR = RU

=> 2k + 7 = 3k - 2

<=> k = 9

with k = 9 =>RU = SR = 2.9 + 7 = 25

13) RV = 1/2.SU = 1/2.sqrt(25² + 25²) = 17,7

14) SU = 2RV = 2.17,7 = 35,4

15) perimeter RSTU = 25.4 = 100

16) area RSTU = 25² = 625

what is the prime factor of 350

Answers

Answer:

If we put all of it together we have the factors :2 x 5 x 5 x 7 = 350.

Step-by-step explanation:

It can also be written in exponential form as 21 x 52 x 71.

Hope this is helpful .

Answer:

Step-by-step explanation:

draw the prime factor tree of 350

you can choose any 2 numbers that equals 350, then continue in that way by choosing any 2 numbers that equals the number that's on top of the 2 other numbers when multiplying, except 1×number, because it won't help you to get the prime factors of a specific number, unless it's a prime number so you don't need to multiply by any number

                                                             350

                                                     35             10

                                                 5        7       2     5

350=2×5×5×7

                                                 

                                                       

1. 12 more than m



A. m - 12
B. 12 - m
C. m + 12
D. 12 + m

2. g less than 36

A. 36 - g
B. g - 36
C. 36 + g
D. g + 36

3. 17 times s

A. 17 + s
B. s/17
C. 17s
D. 17 - s

4. u tripled

A. 3u
B. 3 - u
C. u/3
D. 3 + u

5. 4 less than k

A. 4 - k
B. k - 4
C. 4 + k
D. k + 4

Answers

if you more like this^^^^^^^^^^

Answer:

1.D

2.A

3.C

4.A

5.B

hope it's helpful ❤❤❤❤

THANK YOU.

#

HELP! I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

The answer is A

Subtract - 7x2 + 1 from – 2x2 - 4x.

Answers

Answer:

11-4x

Step-by-step explanation:

Brianna bought snacks for her team's practice. She bought a bag of oranges for $2.63 and an 8-pack of juice bottles. The total cost before tax was $16.07. Write and solve an equation that can be used to determine xx, how much each bottle of juice costs?

Answers

Answer:

$1.68

Step-by-step explanation:

The total cost is $16.07 and there was 2 things bought- the oranges and the juice bottles. to make it easier to find the cost of the juice bottles, we'll subtract the cost of the oranges (2.63) from the total (16.07), which gives us 13.44. this number represents the total cost of only the bottles. To find out the cost if each individual bottle, you need to divide the total (13.44) by the number of bottles (8). This gives us 1.68, so the cost of each bottel is $1.68

Answer: 1.68

Step-by-step explanation: It depends how your teacher thought how to solve this but the easiest way would be: 16.07 - 2.63 = 13.44 than 13.44 divided by 8= 1.68.

A farmer fed 9 bags of food to his 5 cows. Each cow ate the same amount of food. How many bags of food did each cow eat?

Answers

Answer:

1.8 bags

Step-by-step explanation:

you just divide 9 by 5

The number of bags of food that each cow eats will be 1.80 bags.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

A farmer fed 9 bags of food to his 5 cows. Each cow ate the same amount of food.

Then the number of bags of food that each cow eats will be given as,

⇒ 9 / 5

⇒ 1.80 bags

The number of bags of food that each cow eats will be 1.80 bags.

More about the Algebra link is given below.

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What is the geometric mean of 9 ad 100

Answers

The geometric mean is 9.4868

Please answer questions one and two

Answers

Number 1 is point p
Number 2 62.5 points

A company has to buy computers and printers. Each computer, x, costs $525 and each printer, y, costs $315. If the company spends $7,770 and buys a total of 20 machines, how many of each did it buy?
Enter a system of equations to represent the situation, then solve the system.
The system of equations is ___ and ___ .
The company bought ___ computers and ___ printers.

Answers

I think it is the answer b because I think it the right choice I think you should choose B ok have a great day.

DO ALL FOR A BRAINLIST AND A THANKS <333 pls help

Answers

Answer:

1. 11/12

2. 1/2

3. 2/3

4. 3/4

5. 1

6. 4/5

7. 9/10

8. 3/5

Step-by-step explanation:

1. 11/12

2. 5/10= 1/2

3. 4/6=2/3

4. 6/8=3/4

5. 3/3=1

6. 4/5

7. 9/10

8. 3/5

Answer:

1. 11/12

2. 3/3

3. 1/2

4. 4/5

5. 2/3

6. 9/10

7. 3/4

8. 3/5

Step-by-step explanation:

since the denominators are the same, you just add the top numbers together. in order to simplify, you find the greatest common factor for both the top and the bottom number.

HELP
ME
PLEASE THIS IS URGENT

Answers

Answer:

meters/second

Step-by-step explanation:

That's a velocity unit :).

Answer:

Meters/Second

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