Which of these sequences of transformations would not return a shape to its original position?


Group of answer choices


1. Translate 3 units up, then 3 units down.


2. Reflect over line p, then reflect over line p again.


3. Translate 1 unit to the right, then 4 units to the left, then 3 units to the right.


4. Rotate 120∘ counterclockwise around center C, then rotate 220∘ counterclockwise around C again.

Answers

Answer 1

Answer:

4.  Rotate 120∘ counterclockwise around center C, then rotate 220∘ counterclockwise around C again.

Step-by-step explanation:

Option 1, 2 and 3 will return a shape back to its original because:

1. 3 units up and 3 units down are direct opposite and will cancel out one another. Hence, the shape will return to its initial position.

2. Reflect over line p, and over p again.

This actions are also direct opposite and also have the same effect as (1)

3. Translate 1 unit to the right and 3 units to the right.

This equates to 4 units to the right and it will cancel out the translation of 4 units to the left.

4. Rotate 120 counter clockwise and another 220 counterclockwise will not make a shape go back to its original position.

Hence:

4 answers the question


Related Questions

square root of 9 on a graph

Answers

Answer:

I think the answer is 3

what is
t ÷ -5 = -7 help

Answers

Answer:

4 +5 _7

Step-by-step explanation:

Please help I’m not sure if I’m right

Answers

Answer:

C

Step-by-step explanation:

75.54*550=41,497.5

Find the value of x and m

Answers

Answer:

x=5 m=3

Step-by-step explanation:

(1) The point R is halfway between the -6 and -5 on the number line below and represents the number ____. (Use the hyphen for negative numbers and write the answer as a decimal, such as -6.4). ​

Answers

Answer:

BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB

Step-by-step explanation:

Complete the table and write the equation


x | y
? | 1.5
-1 | 4
0 | ?
3 | 9
15 | ?


Equation: y = ____ x + _____

Answers

Answer:

All results in the explanation

Step-by-step explanation:

To make the equation of the line, we only need two points. Select from the table the points (-1,4) and (3,9).

First, find the slope of the line:

We know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\\[/tex]

Substituting:

[tex]\displaystyle m=\frac{9-4}{3+1}=\frac{5}{4}[/tex]

This value is used in the slope-point form of the line:

[tex]\displaystyle y-k=\frac{5}{4}(x-h)[/tex]

Where (h,k) is a point from the table, select for example (3,9):

[tex]\displaystyle y-9=\frac{5}{4}(x-3)[/tex]

Operate:

[tex]\displaystyle y=\frac{5}{4}\cdot x-\frac{5}{4}\cdot 3+9[/tex]

[tex]\displaystyle y=\frac{5}{4}\cdot x+\frac{-15+36}{4}[/tex]

The equation of the line is:

[tex]\boxed{\displaystyle y=\frac{5}{4}\cdot x+\frac{21}{4}}[/tex]

Now complete the table.

For x=0:

[tex]\displaystyle y=\frac{5}{4}\cdot 0+\frac{21}{4}[/tex]

[tex]y=\frac{21}{4}[/tex]

For x=15

[tex]\displaystyle y=\frac{5}{4}\cdot 15+\frac{21}{4}[/tex]

[tex]\displaystyle y=\frac{75}{4}+\frac{21}{4}=\frac{96}{4}=24[/tex]

y=24

For y=1.5, find x:

[tex]\displaystyle 1.5=\frac{5}{4}\cdot x+\frac{21}{4}[/tex]

Operate:

[tex]\displaystyle 1.5-\frac{21}{4}=\frac{5}{4}\cdot x[/tex]

Multiply by 4:

[tex]\displaystyle 6-21=5 x[/tex]

Solve:

[tex]x=-15/5=-3[/tex]

x=-3

Answer:

All results in the explanation

Step-by-step explanation:

To make the equation of the line, we only need two points. Select from the table the points (-1,4) and (3,9).

First, find the slope of the line:

We know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

\begin{gathered}\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\\\end{gathered}m=x2−x1y2−y1

Substituting:

\displaystyle m=\frac{9-4}{3+1}=\frac{5}{4}m=3+19−4=45

This value is used in the slope-point form of the line:

\displaystyle y-k=\frac{5}{4}(x-h)y−k=45(x−h)

Where (h,k) is a point from the table, select for example (3,9):

\displaystyle y-9=\frac{5}{4}(x-3)y−9=45(x−3)

Operate:

\displaystyle y=\frac{5}{4}\cdot x-\frac{5}{4}\cdot 3+9y=45⋅x−45⋅3+9

\displaystyle y=\frac{5}{4}\cdot x+\frac{-15+36}{4}y=45⋅x+4−15+36

The equation of the line is:

\boxed{\displaystyle y=\frac{5}{4}\cdot x+\frac{21}{4}}y=45⋅x+421

Now complete the table.

For x=0:

\displaystyle y=\frac{5}{4}\cdot 0+\frac{21}{4}y=45⋅0+421

y=\frac{21}{4}y=421

For x=15

\displaystyle y=\frac{5}{4}\cdot 15+\frac{21}{4}y=45⋅15+421

\displaystyle y=\frac{75}{4}+\frac{21}{4}=\frac{96}{4}=24y=475+421=496=24

y=24

For y=1.5, find x:

\displaystyle 1.5=\frac{5}{4}\cdot x+\frac{21}{4}1.5=45⋅x+421

Operate:

\displaystyle 1.5-\frac{21}{4}=\frac{5}{4}\cdot x1.5−421=45⋅x

Multiply by 4:

\displaystyle 6-21=5 x6−21=5x

Solve:

x=-15/5=-3x=−15/5=−3

x=-3

1. Write the equation of a line parallel to y = -2x + 10 that passes through point (2, 4). ​

Answers

Answer:

y - 4= -2(x - 2)

Step-by-step explanation:

(This answer is in point slope form, if you need the answer in a different form like slope intercept, you would have to distribute the negative 2 and bring the negative 4 to the right side.)

So, you know the line is parallel to the equation y= -2x + 10. We know that parallel lines must have the same slope, so the answer will have a slope of negative 2. Because they have given you a point that the line passes through, we are going to put the answer in point slope form. we know a point and we know the slope, hence it is called point-slope.

Point slope form is y - y₁ = m(x - x₁). The m stands for the slope, and the x₁ and y₁ is where you will plug in the x and y coordinates (2,4) .

So to plug in the numbers into point slope form it would be y - 4 = -2 (x - 2). hope this helped :)

7(n+4)=21 what is n?

Answers

Answer:

-1

Step-by-step explanation:

divide both sides by 7 and you will get (n+4)=3

then subtract 4 on both sides and get n is equal to -1

Answer:

-1

Step-by-step explanation:

pic below................

Answers

Answer:

1st step - parenthesis 3-9= -6, so the equation is now 2+ (-6) / -3 *4

2nd step - division- -6/-3 = 2 , so the equation is now 2 + 2 * 4

3rd step - multiplication - 2*4  = 8  so the equation is now 2+8

4th step addition- 2 + 8 = 10

Final answer 10

Step-by-step explanation:

This equation shows how the total number of souvenirs Mark buys is related to the number of days he spends on vacation. s = d The variable d represents the number of days he spends on vacation, and the variable s represents the total number of souvenirs he buys. How many days will Mark have to spend on vacation before he will have bought a total of 12 souvenirs?

Answers

Answer:

12 days

Step-by-step explanation:

Given:

s = d

Where,

d = number of days he spends on vacation

s = total number of souvenirs he buys

How many days will Mark have to spend on vacation before he will have bought a total of 12 souvenirs?

s = 12

Since,

s = d

Then,

12 = d

Therefore, Mark will have to spend a total of 12 days on vacation before he will have bought a total of 12 souvenirs

Turn this into numerical form -> one-half the sum of x and 12

Answers

Answer: 1/2(x+12)

Step-by-step explanation:

Tap the angle that is vertical to angle 4

Answers

Answer:

angle four is vertical to angle 2

Answer:

angle 2 is vertical to angle 4

A graph has years since group formed on the x-axis, and number of members on the y-axis. A line goes through points (2, 38) and (5, 80).
The membership of a student group is expressed by the equation y = 14x + 10, where x represents the number of years since the group was formed and y represents the number of members.

How many years will it take for the group to have 290 members?
If the group was formed in the year 2000, in what year would you expect the group to have 290 members?

Answers

Answer:

20 and 2020

Step-by-step explanation:

i got it right on edge

Answer:

The first answer is 20 and the second answer is 2020

Step-by-step explanation:

I just answered it on edge

please help asap!!! will give brainliest answer

Answers

Angle AOB and angle DOC are identical because they share 2 parallels considering it is a bisection.

Answer:

Angle AOB and angle DOC are identical because they share 2 parallels considering it is a bisection

Step-by-step explanation:

Which of the following is considered an asset?

Answers

Answer:

b car lone

Step-by-step explanation:

hope it helps

What is the slope of line p

Answers

U have to show us what line p looks like

Steve invested money in the stock market. In the first year, his stock increased 50%. He paid his stockbroker $350 and then lost $400. He withdrew $300, and then his remaining investment doubled. Steve's investment is now worth $8100. How much was Steve's original investment?

Answers

Answer:

Original amount invested = $3400 .

Step-by-step explanation:

Let the original investment of Steve = $x

Stock increased in the first year = 50% of amount invested

Therefore total amount after one year = x + 0.5x = 1.5x

Commission paid to the stock broker = $350

Amount lost by him = $400

Amount withdrawn by him = $300

Total amount decreased from the amount after 1 year

= 1.5x - (350 + 400 + 300)

= 1.5x - 1050

This remaining amount is doubled, so the final amount

= 2(1.5x - 1050)

= 3x - 2100

This final amount is equal to $8100

3x - 2100 = 8100

3x = 8100 + 2100

3x = 10200

x = $3400

Therefore original amount invested in the stock market was $3400 .

Y=8 when x=20 find y when x= 30

Answers

Answer:

y=13

Step-by-step explanation:

if x=20 when y=8 (we can creat equation )

x=2y+4 (you can prove that the equation is correct by substitute )

so the question is if x=30 find the value of y

30=2y+4

30‒4=2y

26=2y

26/2=2y/2

13=y

i hope this helps you

Write one-page given the following scenario, determine if the salesman’s conjecture is logical? Why or why not? Is it true? Why or why not? Provide a counterexample that would disprove his hypothesis:

A car salesman sold 5 used cars to five different couples. He noticed that each couple was under 30 years old. The following day, he sold a new, luxury car to a couple in their 60’s. The salesman determined that only younger couples by used cars.

Answers

Answer:

His conjecture is not logical.

Step-by-step explanation:

If he sold a car to a couple above 30, how did he think only younger people bought cars? He is not logical.

If the height of a mountain erodes away by a total of
1 cm in 5 years and it decreased by the same
amount each year, then what is that change in
height every year?

Answers

The change in height every year is 0.2cm aka 2 millimeters.

1cm/5years = 0.2cm/1yr

A catering business specializes in catering wedding receptions. They charge $400 for setting up the buffet and an additional $7.50 per guest. Mr. and Mrs. Smith want to spend no more than $1600 on the catering. Write and solve an inequality to determine the number of guests that can be invited to the reception.​

Answers

Answer:

x<=160

Step-by-step explanation:

Step one:

given data

Charges= $400

Additional charges= $7.5 per guest

let the number of guests be x

let the total cost be y

the model for the situation is given as

y=mx+C

Step two:

given that y=1600

we can solve for x as

1600=7.5x+400

1600-400=7.5x

1200=7.5x

divide both sides by 7.5 we have

x=1200/7.5

x=160

Therefore the expected guest should not be more than 160

x<=160

Are the following ratios equivalent? Explain.
2:10
6:60

Answers

Answer:

No

Step-by-step explanation:

it would 12:60

6x2=12

6x10=60

Answer:

they are not equivalent

Step-by-step explanation:

7 : 35

12 : 60

17 : 85

22 : 110

hear are ratios that are equivalent to 2:10

Simplify:


A.
B.
C.
D.

Answers

Answer:

C

Step-by-step explanation:

The absolute value function always gives a positive result, that is

| - a | = | a | = a

Given

[tex]\frac{|-12-3|}{4}[/tex] - [tex]\frac{|23-42|}{8}[/tex]

= [tex]\frac{|-15|}{4}[/tex] - [tex]\frac{|-19|}{8}[/tex]

= [tex]\frac{15}{4}[/tex] - [tex]\frac{19}{8}[/tex]

= [tex]\frac{15(2)}{4(2)}[/tex] - [tex]\frac{19}{8}[/tex]

= [tex]\frac{30}{8}[/tex] - [tex]\frac{19}{8}[/tex]

= [tex]\frac{30-19}{8}[/tex]

= [tex]\frac{11}{8}[/tex] → C

The simplification of the given equation is 11/8. thus option /c is correct.

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output. An equation is an expression that shows the relationship between two or more numbers and variables.

The absolute value function always gives a positive result, which is;

| - a | = | a | = a

Given that | 12 - 3 |/4 - | 23 -42 | /8

| 12 - 3 |/4 - | 23 -42 | /8

| 15 |/4 - | -19 | /8

= 15/4 - 19/8

= 30/8 - 19/8

= 11/8

Therefore, the simplification of the given equation is 11/8. thus option /c is correct.

Learn more about function here:

https://brainly.com/question/2253924

#SPJ2

Write an equation of the line passing through point P(4,−6) that is perpendicular to the line y=−3.

x=

Answers

Answer:

ummm im sorry i will answer in the comments

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

if you plot y= -3 and the point (4,-6) you will see that the only answer can be x=4

Logan used 12 centimeters of tape to wrap 4 presents. How much tape will Logan need in all if he had wrap 8 presents? Assume the relationship is directly proportional.

Answers

Answer:

24 centimeters

Step-by-step explanation:

Last Friday Willie had $27. Over the
weekend he received some money for
babysitting. He now has $43. How much
money did he receive?

Answers

Answer:

$16

Step-by-step explanation:

He received that much money because all you have to do is just subtract            

43-27. Then thats how I got my answer.

Hope this helps and have a great day!

Answer:

Willie received $16 dollars during the weekend

Step-by-step explanation:

$43 (how much money he has now) - $27 (how much he had last Friday) = $16 (how much he received while babysitting during the weekend)

A mug contains 20 fluid ounces of coffee.

How many pints of coffee does the mug contain?

Enter your answer as a decimal in the box.

Answers

Answer:

1.25 pints

Step-by-step explanation:

gallon king!!!

1 gallon king has 4 queens (4 quarts)

1 queen (quart) has a 2 princes (pints)

1 prince has 2 cats (cups)

one cup has 8 oz

put it all together:

2 and 1/2 cups

2 cups = 1 pint

1 pint and 1/2 cup

1/2 cup is 1/4 of a pint

sooo... it's 1.25 pints!

PLEASE PLEASE HELP!!!

Answers

Answer:

A. ??

Step-by-step explanation:

have a nice day and hope it helps

You practice playing your guitar every day. You spend 15 minutes practicing chords and the rest of the time practicing a new song. So the total number of minutes y you practice for the week is given by y=7(15+x), where x is the number of minutes you spend on practicing a new song. Solve the equation for x.

Answers

Answer:

x=(y-105)/7

Step-by-step explanation:

Given that the total time taken to practice is given by the expression as

y=7(15+x)

Simplifying the expression we have

y=105+7x

Solving for x (that is making x subject of formula we have)

7x=y-105

Divide both sides by 7 we have

x=(y-105)/7

Therefore the expression is

x=(y-105)/7

A recipe for macaroni and cheese calls for 16 oz of shredded cheese the recipe serves two people jack wants to feed 7 people how many ounces of cheese should he use

Answers

Answer:

56

Step-by-step explanation:

48 ounces would feed 6 people and if 16 oz is for two people than 8 oz is for one person. So, 48 plus 8 is 56.

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