Why rotation, reflection, and translation are rigid motion?

Answers

Answer 1

Answer:

Reflections, translations, rotations, and combinations of these three transformations are "rigid transformations". ... A reflection is called a rigid transformation or isometry because the image is the same size and shape as the pre-image.

Hope it helps!!!

Answer 2
Because the image is the same size as the pre-image

Related Questions

-3(4x + 3) +4(6x + 1)= 43
Step by step solution
Need help ASAP PLEASE!!

Answers

Answer:

x=4

Step-by-step explanation:

-3(4x+3)

you need to break open the paranthesis

-3 times 4x equals to -12x. -3 times 3 equals to -9. That means that this expression is equal to -12x-9.

4(6x+1)

you need to break open the paranthesis

4 times 6x equals to 24x. 4 times 1 equals to 4. That means that this expression is equal to 24x+4.

-12x-9+24x+4=43

move all variables to the left side and numbers to the right side

-12x+24x=43-4+9

12x=48

x=4

PLEASE HELP (COMPLETE QUESTION B) 5TH GRADE MATH. GIVING AWAY BRAINLIEST

Answers

Answer:

Now that you have a completed table, you will have the coordinates (0, -3), (1, -1), and (2, 1). Mark these points on the coordinate grid and draw a straight line through the origin, (0, 0). Use part a as your advantage to answer part b.

Plzz help meee! I am timed

Answers

Answer:

The Answer Is 8 five dollar bills

Step-by-step explanation:

First you Multiply 5 by 8 Then divide the answer by 5

A trapezoid has a base of 5cm, a height of 4cm. What is the area?

Answers

Answer:

area = 16 cm²

Step-by-step explanation:

area of rectangle = 3x4 = 12

area of triangle = 2x4x0.5 = 4

12 + 4 = 16 cm²

another way is :

1/2(b1+b2)(h) = area

1/2(3+5)(4) = 16 cm²

Express each rate below as a unit rate.
975 calories in 13 brownies

Answers

Answer:

Step-by-step explanation:

975/13=75

75 calories per brownie

173 The midpoint between x and a is m. What is x ?

Answers

If so, [tex]m=\frac{x+a}{2}[/tex] when solved for x will yield [tex]x=2m-a[/tex].

Hope this helps.

For the total population of a large a southern city, mean family income is
$34,000, with a standard deviation (for the population) of $5,000. Imagine
that your are taking a subsample of 200 city residents. What is the Z score for
$37,000 ?

Answers

Answer:

The Z score for $37,000 is 8.49.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean family income is $34,000, with a standard deviation (for the population) of $5,000.

This means that [tex]\mu = 34000, \sigma = 5000[/tex]

Subsample of 200 city residents.

This means that [tex]n = 200, s = \frac{5000}{\sqrt{200}} = 353.55[/tex]

What is the Z score for $37,000 ?

This is Z when X = 37000. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{37000 - 34000}{353.55}[/tex]

[tex]Z = 8.49[/tex]

The Z score for $37,000 is 8.49.

What is -456 divided by -18

Answers

Answer:

25.3333333

Step-by-step explanation:

Answer: 25.33

Step-by-step explanation:

First yo divide -456 / -18

Last is the result (what you get): 25.33

10=2x+12
What’s the steps

Answers

Answer: i got 10

Step-by-step explanation:

what ud o is 2x+12 let me see

10=2x + 12
-2x = 12 - 10
-2x=2
Divide both sides by -2
X=-1

Describe the transformations of f(x) when compared to the parent function [y = x2].
f(x) = x2+5

Answers

Parent Function: f(x)=x^2
Horizontal Shift: Right 5 Units
Vertical Shift: Up 3 Units
Reflection about the x-axis: None
Reflection about the y-axis: None
Vertical Compression or Stretch: None

The transformations of f(x) when compared to the parent function is the graph of [tex]f(x)=x^2+5[/tex] is moved 5 units up

Transformation of functions

Transformation of function is transforming a function from one form to another form .

Rules of transformation :

f(x)-> f(x)+a , f(x) will be moved 'a' units up

f(x)-> f(x)-a , f(x) will be moved 'a' units down

f(x)-> f(x-a) , f(x) will be moved 'a' units right

f(x)-> f(x+a) , f(x) will be moved 'a' units left

f(x)-> -f(x), f(x) will be reflected across x-axis

f(x)-> f(-x), f(x) will be reflected across y-axis

For quadratic, the parent function is [tex]f(x)=x^2[/tex]

Given that [tex]f(x)=x^2+5[/tex]

Here , 5 is added with f(x) at the end

f(x)-> f(x)+a , f(x) will be moved 'a' units up

[tex]f(x)=x^2 ------ > f(x) =x^2+5[/tex]

The graph of f(x) will be move 5 units up

the transformations of f(x) when compared to the parent function is the graph is moved 5 units up

Learn more about transformation here:

brainly.com/question/17586310

PLEASE ANSWER AND EXPLAIN PLEASE ILL MARK BRAINLIEST THANK YOU

Answers

Answer:

11 cows and 6 ducks

Step-by-step explanation:

what is 2/3 + 1/4 as a fraction

Answers

Answer:

[tex] \frac{11}{12} [/tex]

Can I be brainliest pls

2/3 =8/12 so 1/4= 3/12
Both of them added together will be 11/12
Explanation:
Because they both have different denominators they need to be changed so they are the same. So we find a factor of both 3 and 4 which an example can be 12. We times them __(something) many times to get to 12.

Marcos has 15 coins in nickels and quarters. He had 3 more quarters than
nickels. How many nickels and quarter does he have?

Answers

6 nickels 9 quarters

The principal P is borrowed at a simple interest rate r for a period of time t. Find the simple interest owed for the use of the money. Assume 360 days in a year. P=$11,500.00 R=10% T=60 days​

Answers

Answer:

Step-by-step explanation:

Simple interest is

I=Prt

I=11500(0.10)(60/360)

I=$191.67

Four times the sum n plus 10 is 34 what is the value of n?

Answers

Answer:

4(10+n)=34

40+4n=34

4n=-6

n=-6/4=-3/2

Step-by-step explanation:

Answer: 4n+40=34

Step-by-step explanation:

I got it right

2/8 of 24=
2/8 times 24=

Answers

Answer:

2/8 of 24 is 6

2/8 times 24 is 6 also

roshaun has saved 150$ and continues to add 10$ each week. Keegan starts with 0$ and saves 25$ each week. In how many weeks will they have the same amount of money?​

Answers

Answer:

10 weeks

Step-by-step explanation:

Create a system of equations demonstrating Roshaun and Keegan's savings.

Roshaun: 150 + 10x  Keegan: 0 + 25x  

Let x equal the number of weeks they save their money.

In order to calculate how many weeks they will have the same amount of money saved, we need to set their equations equal to each other and solve for x.

150 + 10x = 25x

Subtract 10x from both sides of the equation.

150 = 15x

Divide both sides of the equation by 15.

x = 10

In 10 weeks, Roshaun and Keegan will have the same amount of money.

Circle O has a circumference of approximately 44 in.
What is the approximate length of the diameter, d?
0 7 in
0 14 in.
d-11-
0 22 in
044 in

Answers

Answer:

44

Step-by-step explanation:

because yea


Sean traded 1/7 of his baseball cards. What percentage of his baseball cards did Sean trade?

Answers

Answer:

Step-by-step explanation:

14%

a sphere of radius 10cm is to be turned out on a lathe. If the radius is made 0.1cm too long, what is the precentage of error made in the surface area of the sphere

Answers

Answer:

The percentage error is 8%

Step-by-step explanation:

Given

[tex]r = 10cm[/tex]

[tex]\triangle r =0.1cm[/tex]

Required

% error in the surface area

The surface area of a sphere is:

[tex]S = \4\pi r^2[/tex]

Differentiate

[tex]dS \approx 8\pi r\ dr[/tex]

Rewrite as:

[tex]\triangle S =8\pi r \triangle r[/tex] --- This represents the relative error

The percentage error is then calculated as:

[tex]\% Error = \frac{Relative\ Error}{Surface\ Area}[/tex]

[tex]\% Error = \frac{\triangle S}{S} * 100\%[/tex]

[tex]\% Error = \frac{8\pi r \triangle r}{\pi r^2} *100\%[/tex]

[tex]\% Error = \frac{8 \triangle r}{r} * 100\%[/tex]

[tex]\% Error = \frac{8 *0.1}{10} * 100\%[/tex]

[tex]\% Error = \frac{0.8}{10} * 100\%[/tex]

[tex]\% Error = 0.08 * 100\%[/tex]

[tex]\% Error = 8\%[/tex]

Find the area of each figure. Round to the nearest tenth if necessary

Answers

Answer:

59.3

Step-by-step explanation:

First find the area of the the right triangles

5 * 4 / 2 = 10

Multiply it by 2 since there are 2 right triangles that are the same

10 * 2= 20

Then find the area of a semi circle

The radius is 5

π5^2 / 2= 39.27

39.27 rounded to the nearest tenth is 39.3

Add them together

20 + 39.3 = 59.3

59.3 is your answer


Find the value of x.

Answers

Answer:

x=6,24

Step-by-step explanation:

Use the Theorem of Pythagoras.

H^2= S^2+ S^2

8^2= 5^2 + S^2

64-25 = S^2

39 = S^2

6,24= S

S is x therefore x = 6,24

I need help please help

Answers

Answer:

B) 103.25

Step-by-step explanation:

Area of rectangle:

A = bh

A = (16)(4)

A = 64

Area of a semi-circle:

r = d/2 = 5

A = (πr²)/2

A = (3.14 * 5²)/2

A = (3.14 * 25)/2

A = (78.5)/2

A = 39.25

Combined:

64 + 39.25 = 103.25

Answer: 103.25

Step-by-step explanation:

area of the rectangle is 4*16= 64

The area of the complete circle is [tex]\pi r^{2}[/tex]

r=d/2

r=10/2

r=5

[tex]25\pi[/tex] is the area of the full circle

[tex]\frac{25\pi }{2}[/tex] is the area of the semi- circle

area of the figure

[tex]64+\frac{25\pi }{2}[/tex]=103.27

One Positive number is five times another number the difference between the two numbers is 172 to find the numbers

Answers

Answer:

x= 43, y=215

Step-by-step explanation:

Let one number be x,

Let the other number be y.

x= 5y

x - y= 172

Putting value of x in equation 2.

5y - y = 172

4y = 172

y= 172/4

y= 43

Putting value of y in eq. 1

x= 5(43)

x=215.


A square playpen has sides that are 4 feet long. What is the playpen's area?

Answers

Answer:

16

Step-by-step explanation:

Here is a picture of a cube and the net of this cube what is the surface area of this cube enter your answer in the box

Answers

Answer:

Step-by-step explanation:

a = 12 mm

Surface area of cube = 6a²

                                   = 6 * 12 * 12

                                   = 864 cubic mm

★Answer[tex] \sf \pink{As \: We \: Know,} \\ \\ \tt \: \color{pink}\leadsto \: Surface \: Area \: Of \: Cube \: = {6a}^{2} \\ \\ \tt \green{ \: Here; \: a = 12mm }\\ \\ \tt \: \color{green}Surface \: Area \: = {6 \times 12 \times 12}^{} \\ \\ \pink{\leadsto \: = 864 {mm}^{3} }[/tex]Hence , The Answer is 864mm³.

Can you find the slope-intercept equation of each line and type the correct code? Please remember to type in ALL CAPS with no spaces.

Answers

Answer:

Step-by-step explanation:

line 1 is H

line 2 is C

line 3 is D

line 4 is G  

:)

Lucy recently asked the servers at her restaurant to only give straws to customers who request them. She thinks that about half of the customers will ask for straws but hopes that the rate will be less than half. She randomly selects 100 customers and finds that 43 of them ask for a straw. To determine if these data provide convincing evidence that the proportion of customers who will ask for a straw is less than 50%, 150 trials of a simulation are conducted. Lucy is testing the hypotheses: H0: p = 50% and Ha: p < 50%, where p = the true proportion of customers who will ask for a straw. Based on the results of the simulation, the estimated P-value is 0.0733. Using ∝ = 0.05, what conclusion should Lucy reach?

Because the P-value of 0.0733 > Alpha, Lucy should reject Ha. There is convincing evidence that the proportion of customers who will ask for a straw is less than 50%.
Because the P-value of 0.0733 > Alpha, Lucy should reject Ha. There is not convincing evidence that the proportion of customers who will ask for a straw is less than 50%.
Because the P-value of 0.0733 > Alpha, Lucy should fail to reject H0. There is convincing evidence that the proportion of customers who will ask for a straw is less than 50%.
Because the P-value of 0.0733 > Alpha, Lucy should fail to reject H0. There is not convincing evidence that the proportion of customers who will ask for a straw is less than 50%.

Answers

Answer:

Because the P-value of 0.0733 > Alpha, Lucy should fail to reject H0. There is not convincing evidence that the proportion of customers who will ask for a straw is less than 50%.

Step-by-step explanation:

To understand this question, you'll have to understand a few terms: the null hypothesis, the alternative hypothesis, the p-value and the signifiance level.

The null hypothesis (H₀) is the assumption that the phenomenon doesn't exist - in this case, it is that the proportion of customers who will ask for a straw is 50%, or due to chance (you can either ask for a straw or not). When doing a statistical test for the existance of a phenomenon, we usually assume the null hypothesis to be true first.

The alternative hypothesis (Hₐ) is the assumption that a phenomenon is true. In this case, it is that that the proportion of customers who will ask for a straw is less than 50%.

The p-value is usually a result you get after performing the statistical test - it's the probability that the observed results are at least as extreme as the results actually observed, assuming that the null hypothesis is true. In this case, assuming that the proportion of customers who will ask for a straw is 50% (the null hypothesis), a p-value of 0.0733 for the observed result of 43 customers means that if the experiment were to be repeated again, then there is a 7.33% chance that 43 customers or less will ask for a straw, assuming the null hypothesis is true. This seems pretty good - assuming the null hypothesis is true, there's only a 7.33% chance that we could have gotten 43 customers or less, which means it may be reasonable to "reject the null hypothesis" (i.e. the alternative hypothesis may be true).

However, in many cases a 7.33% chance may not be low enough, e.g. in this problem, a less than 5% chance (i.e. p < 0.05) is necessary. This required chance for results to be statistically significantly is called the signifiance level, or alpha value, the "the probability of rejecting the null hypothesis when the null hypothesis is in fact true." In scientific journals or depending on the field of study, there may be a generally accepted signifiance level.

What is the prime factorization of 120

Answers

2,60,2,30,2,15,3,5,1

In a woodworking class, you need to make five triangles out of plywood. Each triangle has a height of 6 inches and a base of 14 inches. Which equation can you use to solve for the total amount of plywood you will need?

Answers

Answer:5 * (1/2 * 6 * 14)= x

Step-by-step explanation: :D

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