Which series of transformations shows that figures 1 and 2 are similar?
Figure 1 is the preimage. *
sty
7
6
5
AU
2
1
O
3
--7-6-5-4-3 2-1
4 5 6 7 8
-5
-6
-7
-81
о
a dilation of figure 1 with scale factor 12 then a reflection
О
a dilation of figure 1 with scale factor 12 then a translation
a dilation of figure 1 with scale factor 3/2 then a translation
a dilation of figure 1 with scale factor 3/2 then a reflection

Which Series Of Transformations Shows That Figures 1 And 2 Are Similar?Figure 1 Is The Preimage. *sty765AU21O3--7-6-5-4-3

Answers

Answer 1

Answer:

Option (4)

Step-by-step explanation:

Length of segment between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

From the figure attached,

Distance between A(0, -3) and B(3, 0) = [tex]\sqrt{(3-0)^2+(0+3)^2}[/tex]

AB = [tex]3\sqrt{2}[/tex]

Distance between A'(-3.5, -4.5) and B'(-8, 0)

Length of A'B' = [tex]\sqrt{(-3.5+8)^2+(-4.5-0)^2}[/tex]

A'B' = [tex]4.5\sqrt{2}[/tex]

Scale factor for dilation = [tex]\frac{4.5\sqrt{2}}{3\sqrt{2}}=1.5[/tex]

Therefore series of transformations will be,

A dilation of figure 1 with scale factor of [tex]\frac{3}{2}[/tex] and then a reflection.

Option (4) will be the answer.


Related Questions

£2000 is placed into a bank that pays 3% compound interest per year, how much will it be after 2 years?

Answers

120 is your answer hope this helps

Answer:

2,121.80

Step-by-step explanation:

Compounded annually:  Account Balance = Principal x (1 + interest rate (decimal))^number of years.  

With the given information this is:  2000 (1.03)^2 = 2,121.80.  

So you will earn 121.80 in interest after 2 years on your original 2000 deposit.

Can I get Brainliest?

3. Find the zero of (write just the number, If there is no zero, write "none")

Answers

Answer:

it would be in no cause there is a o

Step-by-step explanation:

Answer:

none

Step-by-step explanation:

You can't solve it.

only 16, so you can't input 'x' anywhere

A library has 300 feet of shelves for books. The library will increase the number of feet of shelves by 18%. Question 1 Part A How many feet of shelves are being added?

Answers

Answer:

54

Step-by-step explanation:

Well, divide 300 by 100, which gets you 3. So 3 feet of book shelves = 1%

So 3x18=54

If an equation takes the form y (minutes) = 3x (cookies eaten),
how long will it take you to eat 6 cookies?

Answers

Answer:

18 minutes

Step-by-step explanation:

You would plug in 6 for x and it should look like this

y=3×6

then you multiply and you get

y=18

So it would take 18 minutes.


4. What is the range of the graph below

Answers

Answer:

R: (Y| E R {-4<=y<=-1})

Step-by-step explanation:

Just look at where the graph is limited to vertically, in this case -1 and -4.

The range of the given graph is [-4,-1] and this can be determined by observing the given graph.

The following steps can be used in order to determine the range of the given graph:

Step 1 - The range is the different values of 'y' at different values of 'x'.

Step 2 - According to the given graph, the maximum value of 'y' is -1.

Step 3 - According to the given graph, the minimum value of 'y' is -4.

Step 4 - So, the range of the given graph is given below:

[tex]-4\leq y\leq -1[/tex]

The range of the given graph is [-4,-1].

For more information, refer to the link given below:

https://brainly.com/question/8041076

pls help mee i need help on this fast

Answers

Answer: 30

Step-by-step explanation:

Thos is simply 6*10/2 which is 30.

Question 5 of 19
What is the fractional equivalent of the repeating decimal 0.4 ?
A. 4/99
B. 4/9
C. 2/5
D. 4/100

Answers

the answer is B. 4/9 = 0.444444

45% of the rooms in a hotel are booked. If 36 rooms are booked, how many rooms are in hotel altogether?

Answers

Answer:

80

Step-by-step explanation:

Let h = number of rooms in the hotel

45% * h = 36

.45 h = 36

Divide by .45

.45h/.45 = 36/.45

h =80

There are 80 rooms in the hotel

Answer:

80 rooms

Step-by-step explanation:

Step 1:

45/100 = 36/x       Equation

Step 2:

45x = 3600      Multiply

Step 3:

x = 3600 ÷ 45     Divide

Answer:

x = 80

Hope This Helps :)

Rewrite each expression using I

Answers

Just so you know, it has to be written as a lowercase i to represent an imaginary number.

a) 2i
The square root of 4 is 2, the negative under the square root is what makes it imaginary

b) 2i times the square root of 3

c) 5 + (5i times the square root of 2)

d) 3 - (i times the square root of 2)

Answer:

Step-by-step explanation:

a.) ✓-4

✓-1 × ✓4

i×2

2i. Final answer

b.) ✓-12

✓-1 ×✓12

2✓3i

find the slope of the two given points (-9,6) and (0,1)​

Answers

Answer:

[tex]m=\frac{-5}{9}[/tex]

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Simply plug in the 2 coordinates into the slope formula to find slope m:

[tex]m=\frac{1-6}{0-(-9)}[/tex]

[tex]m=\frac{-5}{0+9}[/tex]

[tex]m=\frac{-5}{9}[/tex]

On Tuesday, the temperature in Fairfield, Montana fell from 51℉ at noon to −℉ at midnight.What was the average temperature change per hour?

Answers

(-1-51)/12 is your answer
= -4.333 deg F

Negative sign shows decrease in temperature

I need to know if there functions or not (algebra)

Answers

Answer:

Number 14 is a function and Number 16 is NOT a function.

Step-by-step explanation:

To check if a set of numbers form a function, you can look at the x values or the imput values.

For number 14 the x values are : 4,-3,-4,5,6. When looking at these values, there can only be one of each number.

For example in number 16, there's two 0's and we cannot allow that! So therefore, number 16 is not a function.

Also note, the y values are called the outputs.

A function is only allowed to have ONE imput with each output.

Hope this helps! :)

what values are equivalent to -1/4

Answers

Answer:

-2/8

-3/12

-4/16

-5/20

-6/24

-7/28

-8/32

a great equivulent of -1/4 would be...

(fraction)

-2/8, -4/16, -16/64

(decimiel)

-.25

what is 3, 145 ÷5
a. 609
b. 621
c. 628
d. 633

.anwserr back asapp pllz​

Answers

Answer:

c. 628

Step-by-step explanation:

3, 145 ÷5 =628

plz mark brainliest

Answer:

The answer is C. 628

Please show all work

Answers

6.2=2.2+x
-2.2 -2.2
——————
4=x

Hope this helps:)

Please HELP IF CORRECT I WILL MARK BRAINLYLIST!!!!

Answers

Answer:

they are parallel so same answer, 85 degrees.

What is the discrimination of the quadratic equation 6x^2-9x-8=0

Answers

Answer:

first setup your problem. it should look like this :

find the average high and low temperature for the week

Answers

Answer:

78 for high and 48 for low, where i live

Step-by-step explanation:

you didnt give a graph or whatever so i put two random answers that arent actually where i live because that doesn't matter and is personal info.

is there more to the question orrrrr

The total price of a printing job at Incredible Invites includes the cost per invitation plus a one-time set-

up fee. Write equations in point-slope and slope-intercept forms to model the situation. What part of

the equations represents the cost per invitation? Which form is easier to use to find information about

the set-up fee? Explain

Party

வராக

Party

Grud

25

Invitations

$100

50

invitations

$140

75

invitations

$180

100

invitations

$220

Let x be the number of invitations and y be the price of the printing job. The point-slope form of an equation that models the situation is

Answers

Answer:

p1: y-100=1.6(x-25)

p2 y=1.6x+60

p3 slope; 1.60

p4 y intercept, slope intercept form, easier to fine using slope intercept

Step-by-step explanation:

this was for savvas 2.2 practice

The required point slope of the equation is y-100=1.6(x-25) and the slope-intercept equation y = 1.6x + 60 and the slope represents the cost per invitation.

Given that,  
The total price of a printing job at Incredible Invites includes the cost per invitation plus a one-time set-up fee. Write equations in point-slope and slope-intercept forms to model the situation. What part of the equations represents the cost per invitation is to be determined.

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
Let the number of invitations be x, and the total cost be y.
Slope-point form of the equation is given by,
(y - y₁) = (y₂ - y₁)/ (x₂ - x₁ ) (x - x₁)
substitute value in the equation,
y - 100 = (140 - 100)/ (50 - 25)(x - 25)
y - 100 = 40 / 25 (x - 25)
y - 100 = 1.6 (x - 25)  - - - - - - (point-slope form)
y = 1.6x - 25 * 1.6 + 100
y = 1.6x - 40 + 100
y = 1.6x + 60 - - - - - (slope-intercept form)
Slope = 1.6

Thus, the required point slope of the equation is y-100=1.6(x-25), and the slope-intercept equation y = 1.6x + 60, and the slope represents the cost per invitation.

Learn more about slopes here:
https://brainly.com/question/3605446

#SPJ2

helpppp meee passssss

Answers

Answer:

17 units

Step-by-step explanation:

count up on the graph and then count right until you reach q

En el parque de béisbol "Héctor Espino"; cuatro boletos de butaca y 7 de general cuestan $ 415.00, mientras que tres de butaca y dos de general cuestan $ 230.00. Encuentra el precio de un boleto de butaca.

Answers

Answer:

is this question in Spanish?

an item is regularly priced at $63. justin bought it at a discount of 45% off the regular price. find out how much justin paid

Answers

Answer:

18$

Step-by-step explanation:

The equation t= 13p + 108 can be used to estimate the cooking time t in
minutes for a stuffed turkey that weighs p pounds. Solve the equation for p.
Then find the weight of a turkey that requires 285 minutes to cook.

Answers

Answer:

Step-by-step explanation:

(285)=13p+108

177=13p

p= 13.62 lbs

Write a formula that will help Greg determine

how much money he will earn in one week.

Let's let

a = total amount earned

h = hours worked in one week

b = number of bushels picked

Use the curved parentheses 'O', if required.

Do not use other parentheses like '{ }' or '[ ]'.

Answers

Answer:

a = 3h + 2.50b

Step-by-step explanation:

Greg picks apples to make money over the summer. He earns $3 an hour plus $2.50 for each bushel he picks. Write a formula that will help Greg determine how much money he will earn in one week.

Let

a = Total amount earned

h = Hours worked in one week

b = Number of bushels picked

Solution:

Amount earned per hour = $3

Amount earned per bushel picked = $2.50

Total amount earned = (Amount earned per hour) ( Hours worked in one week) + (Amount earned per bushel picked) (Number of bushels picked)

a = 3*h + 2.50*b

= 3h + 2.50b

a = 3h + 2.50b

One out of every 119 tax returns that a tax auditor examines requires an audit. Find the probability that (a) the first return requiring an audit is the 25th return the tax auditor examines, (b) the first return requiring an audit is the first or second return the tax auditor examines, and (c) none of the first five returns the tax auditor examines require an audit.

Answers

Answer:

A) 0.00686

B) 0.01673

C) 0.99587

Step-by-step explanation:

For this question, we are interested in the first success and we will Thus make use of geometric probability distribution.

It goes by the formula;

P(x) = [(1 - p)^(x - 1)]p

We are told that One out of every 119 tax returns that a tax auditor examines requires an audit.

Thus; p = 1/119 = 0.0084

A) Probability that the first return requiring an audit is the 25th return the tax auditor examines is given by;

P(25) = [(1 - 0.0084)^(25 - 1)]0.0084

P(25) = 0.00686

B) Probability the first requiring an audit is the first or second return the tax auditor examines, is;

P(1 or 2) = P(1) + P(2)

P(1) = [(1 - 0.0084)^(1 - 1)]0.0084

P(1) = 0.0084

P(2) = [(1 - 0.0084)^(2 - 1)]0.0084

P(2) = 0.00833

Thus;

P(1 or 2) = 0.0084 + 0.00833

P(1 or 2) = 0.01673

C) Probability that none of the first five returns the tax auditor examines require an audit is given by;

P(X > 5) = 1 - P(X ≤ 5)

Now,

P(X ≤ 5) is expressed as;

P(X ≤ 5) = P(1) + P(2) + P(3) + P(4) + P(5)

We know P(1) & P(2) already. Let's find P(3), P(4) and P(5)

P(3) = [(1 - 0.0084)^(3 - 1)]0.0084

P(3) = 0.00826

P(4) = [(1 - 0.0084)^(4 - 1)]0.0084

P(4) = 0.00819

P(5) = [(1 - 0.0084)^(5 - 1)]0.0084

P(5) = 0.00812

P(X ≤ 5) = 0.0084 + 0.00833 + 0.00826 + 0.00819 + 0.00812

P(X ≤ 5) = 0.00413

P(X > 5) = 1 - 0.00413

P(X > 5) = 0.99587

Here are the ingredients for your second recipe:

Cinnamon Rolls
makes 12 rolls
-ounce package active dry yeast
1 cup warm water
3 tablespoons molasses
cup powdered milk
1 egg yolk, beaten
1 egg white, beaten
3 cups bread flour, divided
6 tablespoons butter, melted and divided
1 teaspoon salt
cup whole wheat flour
cup granulated sugar
1 tablespoon ground cinnamon
cup raisins
1 large egg, beaten
cup water

You will use the recipe above to answer the following questions:

This recipe makes 12 rolls, but you need to make 30 rolls. What number will you need to multiply the amount of each ingredient by to adjust the recipe? How did you determine this number?
How many ounces of yeast will you need to make 30 rolls?
How many cups of powdered milk will you need to make 30 rolls?
How many tablespoons of butter will you need to make 30 rolls?
How many more cups of bread flour than whole wheat flour will you need to make 30 rolls?

Answers

This is rounded to the nearest 1/8

2 1/2 ounce package active dry yeast

2 1/2 cup warm water

7 1/2 tablespoons molasses

2 1/2 cup powdered milk

2 1/2 egg yolk, beaten

2 1/2 egg white, beaten

7 1/2 cups bread flour, divided

15 tablespoons butter, melted and divided

2 1/2 teaspoon salt

2 1/2 cup whole wheat flour

2 1/2 cup granulated sugar

2 1/2 tablespoon ground cinnamon

2 1/2 cup raisins

2 1/2 large egg, beaten

2 1/2 cup water

Step-by-step explanation:

Divide each ingredient by 12, then multiply by 30 to get your answers.

2.Use the following graph to estimate the rate of change of the function at x=0.5 using the points (−1,−1) and (1,3)

A.The rate of change is −1/2.

B.The rate of change is 2.

C.The rate of change is 1/2.

D.The rate of change is −2.

3.The following graph shows the inches of snow on the ground over a certain number of hours. Use the graph to estimate the rate of change of the function at 3 hours using the points (0,0) and (5,10)

A.The rate of change is −1/2 of an inch per hour.

B.The rate of change is 1/2 of an inch per hour.

C.The rate of change is 2 inches per hour.

D.The rate of change is −2 inches per hour.

4.The following graph shows the average temperatures in degrees Fahrenheit (°F) over the days of a month. Use the graph to estimate the rate of change of the function at the ninth day of the month using the points (2,55) and (10,65)

A.The rate of change is 0.8 degrees Fahrenheit per day.

B.The rate of change is 1.25 degrees Fahrenheit per day.

C.The rate of change is −0.8 degrees Fahrenheit per day.

D.The rate of change is −1.25 degrees Fahrenheit per day.

5.Use the following graph to answer which of the following points would provide the most accurate estimation for the rate of change of the function as it crosses the y-axis. Explain.

(−0.5, 2)

(0.5, 3)

(−0.5, 3)

(0.5, 1)

A.(−0.5, 3) and (0.5, 1) would provide the most accurate estimation. The slope of the line drawn between these two points appears closest to the slope of the function at x=0.

B.(−0.5, 2) and (0.5, 3) would provide the most accurate estimation. The slope of the line drawn between these two points appears closest to the opposite of the slope of the function at x=0.

C.(−0.5, 2) and (0.5, 3) would provide the most accurate estimation. The slope of the line drawn between these two points appears closest to the slope of the function at x=0.

D.(−0.5, 3) and (0.5, 1) would provide the most accurate estimation. The slope of the line drawn between these two points appears closest to the opposite of the slope of the function at x=0.

Answers

Answer:

2. B. The rate of change is 2

3. C. The rate of change is 2 inches per hour

4. B. The rate of change is 1.25 degrees Fahrenheit per day

5. (-0.5, 3) and (0.5, 3) would provide the most accurate estimation. The slope of the line drawn between these two points appears closest to the slope of the function at x = 0

Step-by-step explanation:

2. Using the points (-1, -1) and the (1, 3) we have;

The rate of change = (Change in the y-values)/(Corresponding change in the x-values)

The rate of change = (3 - (-1))/(1 - (-1)) = 4/2 = 2

The rate of change is 2

3. Using the points (0, 0) and the (5, 10) we have;

The rate of change = (Change in the y-values)/(Corresponding change in the x-values)

Given that the function is a linear function, the rate of change of the function at 3 hours is given by the slope, m, as follows;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Where;

(x₁, y₁) = (0, 0)

(x₂, y₂) = (5, 10)

The y-coordinate being the inches of snow, and the x-coordinate being the time in hours, we have;

The rate of change = (10 - 0)/(5 - 0) = 10/5 = 2

The rate of change is 2 inches per hour

4. Given that the function is a linear function, the rate of change of the function at ninth day is given by the slope, m, as follows;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Where;

(x₁, y₁) = (2, 55)

(x₂, y₂) = (10, 65)

The y-coordinate being the temperature in degrees, and the x-coordinate being the time in days, we have;

[tex]Slope, \, m =\dfrac{65-55}{10-2} = \dfrac{10}{8} = 1.25[/tex]

The rate of change is 1.25 degrees Fahrenheit per day

5. The points on the graph of the function that come before and after the point where the graph of the function crosses y-axis (the y-intercept) and are close to point are (-0.5, 2) and (0.5, 3)

Therefore, (-0.5, 2) and (0.5, 3) would provide the most accurate estimation. The slope of the line drawn between these two points appears closest to the slope of the function at x = 0.

Question 4 (1 point) Phil Dunphy, a real estate agent, is considering whether he should list an unusual $345,584 house for sale. If he lists it, he will need to spend $5,892 in advertising, staging, and fresh cookies. The current owner has given Phil 6 months to sell the house. If he sells it, he will receive a commission of $19,166. If he is unable to sell the house, he will lose the listing and his expenses. Phil estimates the probability of selling this house in 6 months to be 33%. What is the expected profit on this listing? Your Answer:

Answers

Answers:

The expected profit on the listing is $2377.14

Step-by-step explanation:

Given that:

The probability of selling the house in 6 months is p = 0.33

The probability of not selling the house = 1 - 0.33 = 0.67

Suppose X represents the profit on the listing;

Then: we can compute the expected profit on the listing as:

E(X) = ($19166 × 0.33) - ($5892 × 0.67)

E(X) = $6324.78 - $3947.64

E(X) = $2377.14

Thus, the expected profit on the listing is $2377.14

Which of the following expressions are equivalent to a value of -6? Select all that apply.

Answers

Answer:

mention the other options or clip the pic of question

Answer:

what numbers represent the following? i'd take a wild guess and say that one of the right answers is 0/-6? idrk, I'd copy and paste the whole question so we can help you, Have a great day, good luck, and peace out! -Conner

Step-by-step explanation:

Simplify the following equation:
– 4y + 7 + 9y - 3

Answers

Answer:

5y + 4

Step-by-step explanation:

-4y + 7 + 9y - 3

Subtract: 9y - 4y

5y + 7 - 3

Subtract: 7 - 3

5y + 4

Hope this helps and pls do mark me brainliest if you can:)

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