Given two concentric circles (circles that have the same center point), with the inner circle having a radius of 1 r and the outer one having a radius of 2 r as shown, give a dilation that would map the inner circle onto the outer circle.

Answers

Answer 1

Answer:

(x, y) ⇒ (2x, 2y)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

Dilation is the increase or decrease in size of a figure. If a figure with point A(x, y) is dilated by a scale factor of k, the new location is at A'(kx, ky). If k > 1, it is an enlargement and if k < 1, it is a reduction.

Given that the inner circle has a radius of 1 r and the outer one has a radius of 2 r. To map the inner circle onto the outer circle, the inner circle would need to be enlarged. The scale factor is:

k = outer circle radius / inner circle radius = 2r / 1r = 2

A dilation with a scale factor of 2 would be needed to map the inner circle onto the outer circle.

That is:

(x, y) ⇒ (kx, ky)

Answer 2

The dilation should be (x, y) ⇒ (2x, 2y)

What is transformation and dilation:

Transformation refers to the point movement that starts from beginning location to the new location. The dilation refers to the increment or decrement of the figure size.

Here,

The scale factor should be calculated by dividing the  outer circle radius from the inner circle radius

[tex]= 2r\div 1r[/tex]

= 2

Therefore, The dilation should be (x, y) ⇒ (2x, 2y)

Learn more about radius here: https://brainly.com/question/5525937


Related Questions

Reasoning: Write a function g(x) to represent the translated graph. f(x) = 3x + 7 translated 4 units up.

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Answer:

I am pretty sure its g(x) = 3x + 11

PLEASE HELP I HAVE 10 MINUTES AND IM STUCK ON THIS!

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The last one; y = 3x


Hope this helps!!!!

Answer:

y = 3x

Step-by-step explanation:

y = 3 and x = 3 doesn't touch 0, 0

Hong Wu means what?

great ruler
leader of peasants
father of dynasties
vast military power

Answers

Answer:

Hong Wu means...

Step-by-step explanation:

The last one

Answer:

Its D

Step-by-step explanation:

Evaluate the following expression
8 to the power of 3–9•2 divided by 3

Answers

Answer:

0.485 in decimals

0.485 that’s the answer

You buy a computer for $3,000. Its value depreciates by 8% every month. Write an equation to represent the situation. How much is your computer worth after 3 years?

Answers

Answer:

y=3,000(0.92)^x

Step-by-step explanation:

your computer is worth $2, 336.04

The sum of two numbers is 30 and their difference is 4. Find the numbers​

Answers

Answer:

17 and 13

Step-by-step explanation:

So you can set up an equation:

let x be the greater number

this means that the smaller number would be 4 less than x, because their difference is 4, so x - 4.

The sum is 30, so x + (x - 4) = 30

Then, solve:

x + (x - 4) = 30

x + x - 4 = 30

combine like terms

2x - 4 = 30

add 4 to both sides

2x = 34

divide both sides by 2

x= 17

Now you know the greater number is 17. Since they have a difference of 4, you can do 17 - 4 = 13 to get the smaller number.

The numbers are 17 and 13

Sam had 225 grams of raisins. After buying another two bags of raisins he then had
175 grams of raisins
He writes this equation where r represents number of bags of raisins to describe how
225r+2=1475
Is he correct? Explain your answer.
How many grams of raisins were in one bag?

Answers

Answer: No, he is not correct, the correct equation is:

225 + 2*r = 1475

Solving that, we can find that each bag of raisins has 625 grams of raisins.

Step-by-step explanation:

I suppose that the problem is as follows:

"Sam had 225 grams of raisins. After buying another two bags of raisins he then had  1475 grams of raisins"

Then, if each bag of raisings has r grams of raisings, two bags will have two times that, or:

2*r grams of raisings.

Then if we take what he had at the beginning, and we add these 2*r grams, we should get the 1475 grams that he has at the end:

225 + 2*r = 1475

This is what he should get.

and we can solve it for r, to get:

2*r = 1475 - 225 = 1250

r = 1250/2 = 625

r = 625

This means that each bag of raisins has 625 grams of raisins.

But instead, he got:

225*r + 2 = 1475

In this case, he multiplied his previous amount of raisings by the amount that each bag has, so his equation is wrong.

Yusuf is preheating his oven before using it to bake. The initial temperature of the oven is 70° and the temperature will increase at a rate of 20° per minute after being turned on. What is the temperature of the oven 13 minutes after being turned on? What is the temperature of the oven tt minutes after being turned on?

Temp after 13 minutes:???
Temp after tt minutes:???

Answers

Answer:

temp after 13 minutes is 330 degrees

Step-by-step explanation:

70+(20/13)=260+70=330

Answer:

330 Degrees

Step-by-step explanation:

First, you will want to multiply 20 timesthe time 13. You would get 260, but don't forget about the initial temperaure of 70 so add that, and you will get 330 degrees. I hope this helps :)

please help meeeeeee​

Answers

Answer:

y=2/3x +5

Step-by-step explanation:

to find the gradient

9--1/6--9

10/15

2/3

y-y1=m(x-x1)

y-9=2/3(x-6)

y-9=2/3x-4

y=2/3x+9-4

y=2/3x+5

Number 12 AND QUICKKKK

Answers

Answer:

id say A

because its an opened circle, and when its opened its usually not with the little dash and there's no negative number (that i know of)

A is the answer...........

I really neeed help ... please help me

Answers

Answer:

fist one is 36 and the second one is 238

Step-by-step explanation:

to find volume multiple length times width times height though in this case you only need to multiple two numbers to get the answer

giving brainliest Here are the coordinates of rectangle PLAY: (-11,20), (-11,-3), (-1,20), (-1,-3). Find the perimeter of this rectangle. See if you can figure out its side lengths without plotting the points.

Answers

Answer:

perimeter equals 66

sides: 23,23,10 10

You need to use the distance formula. I recommend plotting these points on graphing paper to help you.

The radius of a circle is 13.8 cm. Find the circumference
to

the

nearest

tenth

Answers

Answer:

86.7

Step-by-step explanation:

the circumference = 2 x pi x radius

13.8x2.3.14=86.7

Answer:

87

Step-by-step explanation:

there you go

3x^2+9x+27x^3 pls help the ^ means exponent

Answers

Answer:

27x^3+3x^2+9x

Step-by-step explanation:

A cyclist travels at an average speed of 13 mph for 3 hours.
How far did she travel in miles?

Answers

Answer:

39 miles

Step-by-step explanation:

We know that a cyclist travelled at an average rate of 13 miles per hour for 3 hours and are asked to how far she travelled in miles.

To solve, we need to take into mind that for three hours, the cyclist drove 13 miles per hour.

Meaning that for every hour, 13 miles were driven.

Therefore we need to multiply 13 by 3 to get our answer :

13 miles * 3hrs

39 miles

The graph shows a proportional relationship between the distance a car travels and the fuel it consumes.

Based on the graph, the car requires___gallons of fuel to travel 100 miles.

A. 1.0
B. 2.5
C. 4.0
D. 5.5

Answers

1/40 = x/100
100=40x
x=2.5

Help me please I’m struggling

Answers

Answer:

305

Step-by-step explanation:

sorry if im not right

Can you solve for a, b and c?
20 – 3b = -5
4a + 3b = 17
50 - 2a = 1

Answers

Answer:

c  =  1 ,  a  =  2,  b  =  3

Step-by-step explanation:

PLZZZ ANSWER I BEG U
Graph a line with a slope of 2 that goes through the point (4, 8).

To graph a line, plot two points on the line.

Answers

Answer:

Step-by-step explanation:

GIVING BRAINLIEST

The table shows the temperature at noon of four towns for 2 days.
Player
Temperature Temperature
Day 1 (°F) Day 2 (°F)
Mimstown
4 -6
Pikeville
-9 -1
Jackson
-4 3
Lancaster
6 14
Which town had the SMALLEST change in temperature between the two days?

Answers

jackson

Step-by-step explanation:

Jackson because it’s -4 and 3

Bobinvested$6500intoamutualfund with 3.5% monthly interest rate. What is the balance in the account after one month?

Answers

Answer:

$6727.50

Step-by-step explanation:

35/1000*6500

= 35*6.5

=227.50

6500+217.50

6727.50

Carlos needs to buy 6 pens and some colored pencils for school. He has $25 to spend. If the pens cost $3.25 each, how much does Carlos have left to spend?

Answers

Answer:

He will have $5.50 left to spend.

Step-by-step explanation:

Is the function even,odd, or neither

Answers

Answer:

even  :D

Step-by-step explanation: :D

-0.1 = -10c who can answer this

Answers

Answer:

c = 0.01 | Hope I helped :')

Steps to answer:

1. Divide both sides by -10.

-0.1/-10=c

2. Simplify  -0.1/-10 to 0.01.

0.01=c

3 Switch sides.

c=0.01

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

Checking your answer:

−0.1=−10c

1 Let c=0.01.

−0.1=−10×0.01

2 Simplify  10×0.01  to 0.1.

-0.1=-0.1

Done by NeighborhoodDealer.

HELP MEHHH, WILL MARK BRAINLIEST!!! NEED ANSWER TO Q 3

Answers

if each book is $7.35 each then John would be able to buy 4 books which would be a total of $29.40

PSLS S S S S S S S s s s. Ss s s s s

Answers

Answer:

80

Step-by-step explanation:

5x2x8=80

Answer:

volume= 8*2*5

=80cube

the measurement of the angle between West 1st Street and North Main Street is 30 ° less than the measurement of the angle between West 1st Street and South Main Street what is the measurement of the angle between North Main Street and East 1st Street
60 °
75 °
90 °
105 °​

Answers

Answer:

105

Step-by-step explanation: because when you look at North main Street and East 1st Street the angle is obtuse and 105 is the only obtuse angle.

What is the equation for the line in slope -intercept form?

Answers

Answer:

I can't see it

Step-by-step explanation:

We need a bigger picture.

if you know what is a pie

Answers

Yes, ik what a pie is but which definition of a pie are you talking about. A food or mathematical?
Pi= 3.14 u eat pie because pie is food


A box of oranges weighs 4 kg. If one orange weighs 80 g, how many oranges are in the box?

Answers

Answer:

50 oranges

Step-by-step explanation:

4 kg is 4000 g

then, you would:

4000/80

= 50 oranges

50 oranges

explanation:
convert 4g to kg —> .08
4 dived by .08 is 50
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