what is a preimage and image of triangle in a translation

Answers

Answer 1

Answer:

translation to what language?

Step-by-step explanation:

Answer 2

9514 1404 393

Explanation:

The preimage is the original triangle, the figure before any transformation is done to it.

The image is the result of applying a transformation to the preimage.

__

When the transformation is translation, the image is congruent to the preimage, but is located in a different place. It is not rotated or reflected if the only transform is translation.


Related Questions

Sin θ = 12/37. Find tan θ. Right Triangle Trigonometry.

Answers

Answer:

[tex]\huge\boxed{B.\ \dfrac{12}{35}}[/tex]

Step-by-step explanation:

Look at the picture.

We know:

[tex]\sin\theta=\dfrac{a}{c}\\\\\tan\theta=\dfrac{a}{b}[/tex]

We have

[tex]\sin\theta=\dfrac{12}{37}\Rightarrow a=12,\ c=37[/tex]

Use the Pythagorean theorem.

[tex]a^2+b^2=c^2\\\\12^2+b^2=37^2\\\\144+b^2=1369\qquad|\text{subtract 144 from both sides}\\\\b^2=1225\to b=\sqrt{1225}\\\\b=35[/tex]

Calculate tangent:

[tex]\tan\theta=\dfrac{12}{35}[/tex]

A researcher wants to estimate the mean commute time of residents in Westchester County. The researcher samples 40 commuters and find the mean commute time to be 25 minutes. Assume the population standard deviation for commute time is 12.5 minutes. Construct a 90% confidence interval for the mean commute time of residents in Westchester County. What is the Lower Bound of the confidence interval

Answers

Answer:

21.759

Step-by-step explanation:

Given that :

Mean (m) = 25

Standard deviation (s) = 12.5

Sample size (n) = 40

α = 90%

The confidence interval is obtained using the relation:

Mean ± Zcritical * s/sqrt(n)

Zcritical at 90% confidence interval = 1.64

25 ± 1.64 * (12.5/sqrt(40))

Lower boundary : 25 - 1.64(1.9764235) = 21.75866546

Upper boundary : 25 + 1.64(1.9764235) = 28.24133454

(21.759, 28.241)

Hence, lower bound of confidence interval is : 21.759

PLEASE HELP ME!!
40 Points!!

Select all factors of the following polynomial:

4p3 + 36p² + 32p

Select all that apply

• 4p
• 4p^2
• (p-1)
• (p+1)
• (p-2)
• (p+2)
• (p-4)
• (p+4)
• (p-8)
• (p+8)

Answers

40+32=72  

THE RESON IT IS SEVENTYTWO IS BECAUSE IT IS 72p^2

Factors of the given polynomial are 4p, (p + 1) and (p + 8).

   Given polynomial in the question,

4p³ + 36p² + 32p

Factorize the polynomial,

4p³ + 36p² + 32p = 4p(p² + 9p + 8)

                            = 4p(p² + 8p + p + 8)

                            = 4p[p(p + 8) + 1(p + 8)]

                            = 4p(p + 1)(p + 8)

    Therefore, 4p, (p + 1) and (p + 8) are the factors of the given polynomial.

Learn more,

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Which statements describe one of the transformations performed on f(x) =x^2 to create g(x)=2x^2+5?

A: A translation of 5 units to the right
B: A vertical stretch with a scale factor of 1/2
C: A vertical stretch with a scale factor of 2
D: A translation of 5 units up

Answers

Answer:

do u know the answer ik it's five units up but that it

Answer: a vertical stretch with a scale factor of 2. and a translation of 5 units up.

Step-by-step explanation:


[tex] \frac{18}{100} [/tex]
is what percent

A. 36%
B. 8%
C. 9:
D. 18%​

Answers

18 percent is the answer

Help?.?.??? I’ll give brainliest to the first person who responses

Answers

Answer:

1. y=3x

2. y=1x

3. y=7x

4. y=1x+7

5. y=3x-3

6. y=12x+2

Step-by-step explanation:

Hope this helps!

Suppose you deposit $2,500 in a savings account that pays you 5% interest per year.

a. How many years will it take for you to double your money?

b. How many years will it take for your account to reach $8,000?

Answers

Answer:A=4 Years B=6 years

Step-by-step explanation:

Can someone help me out.

Answers

Answer:

63 sq

Step-by-step explanation:

9*7

It’s 48 because not the whole square is shaded so you would do 9 times 7 = 63 and 5 times 3 =15 so 63-15 is 48

To walk to her friend's house, Cristal normally walks 63 yards north and 16 yards east as shown. How many
yards shorter would it be if Julie took the diagonal shortcut, x?
16 yd
63 yd
х
A
(10

Answers

Answer:

65 yd

Step-by-step explanation:

The image of this walking path of Cristal is missing, so i have attached it.

From the image attached, we can see that the path "x" is the hypotenuse path a the triangle.

Thus, we can use pythagoras theorem to find the area. Thus;

x² = 16² + 63²

x = √(16² + 63²)

x = √4225

x = 65 yd

An expression is shown: 4.58 + 0.079 What is the value of the expression

Answers

Answer:

4.659

Step-by-step explanation:

4.58

+0.079

4.659

Select all possible values for x if −3x < 15.

Select one or more:
A. -11
B. -7
C. -5
D. 2
E. 9

Answers

Step-by-step explanation:

When dividing or multiplying by a negative number, remember to flip the inequality sign.

-3x < 15

x > -5 (divide -3 on both sides, flip the inequality sign)

The correct options are 2 and 9. (D and E)

Answer:

D. 2

E. 9

Step-by-step explanation:

[tex] - 3x < 15 \\ \\ x > \frac{15}{ - 3} \\ \\ x > - 5 \\ \\ [/tex]

Since x > - 5,

Therefore possible values of x would be 2 and 9 out of the given ones.

Problem (11), 10 points 3 Math majors and 3 Computer Science majors will be presenting at a conference. Three students will be randomly selected to present on Monday, and the remaining three stu- dents will present on Tuesday.
(a, 3 points) What is the probability that two Computer Science majors and a math major will present on Tuesday? You do not need to simplify your answer.
(b, 5 points) Suppose we know at least one Math major has been selected to present on Monday. What is the probability that two Computer Science majors and a math major will present on Tuesday, given this information?
(c, 2 points) Based on your answer for b, are the events ‘at least one math major is selected to present on Monday' and 'two computer science majors and a math major present on Tuesday' independent?

Answers

Answer:

a}[tex]P_1= 0.3[/tex]

b)[tex]P_2 =0.45[/tex]

c) NOT INDEPENDENT

Step-by-step explanation:

From the question we are told that

Sample space

Math majors are 3

computer science majors are 3

Generally the sample space is

Mathematically the sample space required on Monday is given as  [tex]S_m= 3c_1 * 3C_2[/tex]

where [tex]S_m[/tex] =sample space on Monday

Therefore,

[tex]P_1[/tex] = [tex]\frac{3C_1 *3C_2}{6C_3}[/tex]

[tex]P_1=\frac{3*3}{20}[/tex]

[tex]P_1=\frac{6}{20}[/tex]

b)

Generally the the equation is given as

[tex]P_2 =P(\frac{x \cap y}{y})[/tex]

where

x  is  selecting two math major and 1 computer science major on Monday

y is at leas one math major selected

[tex]P_2 =\frac{^3C_1*^3C_2}{^3C_1*^3C_2 + ^3C_2*^3C_1 +^3C_3*^3C_0}[/tex]

[tex]P_2 =\frac{3*3}{3*3 + 3*3 +^1*1}[/tex]

c)

Generally in representing independent events

[tex]P_3=p(x \cap y)[/tex]

=>[tex]p(x) * p(y)[/tex]

Mathematically

[tex]n(x)= ^3C_1 *^3C_2[/tex]

[tex]n(y)={^3C_1*^3C_2 + ^3C_2*^3C_1 +^3C_3*^3C_0}[/tex]

therefore

[tex]n(x \cap y) =^3C_1 *^3C_2[/tex]

This does not satisfy the two equations stated above therefore NOT INDEPENDENT

An 8-foot rope is tied from the top of a pole to a stake in the ground,as shown in the diagram below.

If the rope a 57° angle with the ground, what is the height of the pole, to the nearest tenth of a foot?

A 4.4
B 6.7
C 9.5
D 12.3

Answers

Answer = B
Hope this helps

The height of the pole, to the nearest tenth of a foot is given by: Option B: 6.7 feet

What is angle of elevation?

You look straight parallel to ground. But when you have to watch something high, then you take your sight up by moving your head up. The angle from horizontal to the point where you stopped your head is called angle of elevation.

How to use right triangles to find the height of the specified pole?

Remember that we assume that pole is vertical to the ground. This means, there is 90° formation. The length of the rope can be taken as length of hypotenuse.

Referring to the attached figure below, we get:

Length of the rope = length of AC = |AC| = 8 feetThe angle of elevation of rope from ground: 57°

Using the tangent ratio, we get:

[tex]\sin(x) = \dfrac{\text{Length of perpendicular}}{\text{Length of hypotenuse}} = \dfrac{|AB|}{|AC|}\\\\|AB| = \sin(x) \times |AC|\\\\|AB| = \sin(57^\circ) \times 8 \approx 6.71 \approx 6.7\: \rm feet[/tex]

Thus, the length of the pole is approx 6.7 feet (option B).

Learn more about trigonometric ratios here:

https://brainly.com/question/22599614

100
3
80
6
60
9
40
20
0
100
web and Windows
BE
a
02 AM
NETT Dann

Answers

Answer:

Uhhhh what?

Step-by-step explanation:

I am confused...

아주 혼란스러워요. 그게 무슨 말이죠? ㅋㅋㅋ

Write your answer with no spaces and any fraction with “/“

Answers

Answer:

y=[tex]\frac{1}{2}x-2[/tex]

Step-by-step explanation:

Because of the slope, we would assume that it is 1/2 because when you use rise over run, the graph rises 1 unit up and shifts 2 units to the right.  The -2 is where the y-intercept is (0, -2) based on the picture seen above.  The slope is also positive where it is going up instead of going down.

what is 48.75% of 204..............

Answers

204 x .4875 = 99.45

So the answer is 99.45

lens asks heila to choose any number. he then multiplies it by 2, adds 3 to that number and then subtracts it by 6. he ends up with 11. What was heila's original number

Answers

Answer:

7

Step-by-step explanation:

Create an equation where x represents the original number:

(2x + 3) - 6 = 11

Solve for x:

(2x + 3) - 6 = 11

(2x + 3) = 17

2x = 14

x = 7

So, the original number was 7.

the original number is 7

PLEASE HELP!!!!!!!!!!!!!!

Answers

X divided by 2 = y
Or you could do
Y times 2= x

Help me with this plz!?!? I will mark brainliest!!!

Answers

If the temp is 12f and changes by -26f
Is 38f

Branson purchased a wooden board 9/10 yard long to split into smaller pieces for a project. If he cuts them into smaller pieces that are each 1/12 yard long. How many boards will we have?

Answers

Answer:YASSA POINTS

Step-by-step explanation:

Rashad has 24 Almonds and 32 walnuts for making snack bags. he wants to make as many snack bags as possible and wants each bag to have the same amount of almonds and walnuts. What is the largest number of snack bags he could make

A.3 bags

B.4 bags

C. 8 bags

D. 16 bags

Answers

This is your perfect answer

Can someone help me with these 2 questions real quick?

Answers

Answer:

<M = 32 and <Y = 103

Step-by-step explanation:

1. Since triangle BCM is congruent to triangle ZYR, we know the corresponding parts of the triangles are congruent. Therefore, <Z = <B = 45. The sum of a triangle’s angles is 180, so <M = 180 - <B - <C = 180 - 45 - 103 = 32

2. This is the exact same diagram, so we can use the information we have collected in #1. Since corresponding parts of congruent triangles are congruent, <Y must be congruent to <C, which equals 103. Therefore, <Y = 103.

I hope this helps! :)

1 should be 45 degrees
2 should be 103 degrees

mark me brainliest if the answer is correct, thank you in advance :)

Each bus Ms. Robinson rents can seat 42 children. How many buses does Ms. Robinson need to take 135 students on a field trip?

Answers

Answer:mrs robinson would need total of four buses

Step-by-step explanation:

this is because if you have 135 and you divide it by 42 it gets you 3.2 and you cant have .2 of a bus so you must round up to the nearest whole number which would be 4

NEED URGENT HELP 50 POINTS MATH EQUATION PLEASE NO POINT STEAL!

Answers

Answer:

2 is the number of dollars per seed.

6 is the number of lettuce seeds bought.

7 is the number of pea seeds bought.

Step-by-step explanation:

Two dollars multiplied by six plus seven packets of seeds.

Tommy is using a bucket to collect nuts from a nut tree. He then dumps the bucket into a barrel for shipping of the nuts. He notices that 1 over 4 bucket of nuts fills 2 over 3 of the barrel.

Part A: Write and solve an equation to find the amount of nuts that will fill the entire barrel. Show your work. (8 points)

Part B: Explain your answer in words. (2 points)

Your answer:

Answers

Answer: you need 3/8 buckets of nuts to fill the barrel.

Step-by-step explanation:

I will find the equation and explain it with words at the same time, so it is easier to understand.

We know that:

1/4 buckets of nuts, fills 2/3 of the barrel.

Then we can write the equation:

(1/4) buckets of nuts = (2/3) of the barrel

We want to have a one in the right, which will mean that the barrel is complete, then we can multiply both sides by 3/2

(3/2)*(1/4) buckets of nuts = (3/2)*(2/3) of the barrel.

3/8 buckets of nuts = 1 of the barrel.

This means that you need 3/8 buckets of nuts to fill the barrel.

Decide whether the normal sampling distribution can be used. If it can be​ used, test the claim about the population proportion p at the given level of significance alpha using the given sample statistics. Claim: p is not equal to 0.22; Alpha = 0.01; Sample​ statistics: ​p = 0.15, n = 180Can the normal sampling distribution be​ used? A. ​No, because np is less than 5. B. ​No, because nq is less than 5. C. ​Yes, because both np and nq are greater than or equal to 5. D. ​Yes, because pq is greater than alpha = 0.01. State the null and alternative hypotheses. Determine the critical value(s).Find the z-test statistic.

Answers

Answer:

A

   The correct option is  C

B

  The  value of  z-test is  [tex]z = -2.267[/tex]

Step-by-step explanation:

From the question we are told that  

    The null hypothesis  [tex]H_o : p = 0.22[/tex]

    The alternative hypothesis  [tex]H_a : p \ne 0.22[/tex]

    The  level of significance is  [tex]\alpha = 0.01[/tex]

    The sample proportion is  [tex]\^ p = 0.15[/tex]

     The sample size is  n = 180

Generally from central limit theorem

if   np  and  nq  are  >  5  then  normal sampling distribution can be used

So  

     np =  180  * 0.22 =  39.6  >  5

and  

     nq =  180 * (1 -0.22) =  140.4 > 5

So normal sampling distribution can be used

Generally the z-test is mathematically represented as

      [tex]z = \frac{\^ p - p }{ \sqrt{\frac{ p(1- p ) }{n } } }[/tex]

=>   [tex]z = \frac{ 0.15 - 0.22 }{ \sqrt{\frac{ 0.2(1- 0.22 ) }{ 180 } } }[/tex]

=>   [tex]z = -2.267[/tex]

   

1) James needs to obtain $80,000 for his daughter's future college tuition. He is looking to invest in an
account that pays 3.1% annual interest. The account compounds quarterly. How much money would
James have to invest today so that 15 years from now, he will have the money?

Answers

Answer:

$ 50,340.97

Step-by-step explanation:

From the above question, we can deduce that we are to find the Initial amount invested which is also called the Principal.

The formula to find Principal in a compound interest question is:

P = A / (1 + r/n)^nt

Where:

A = Total Amount obtained after invested = $80,000

r = Interest rate = 3.1% = 0.031

n = number of times interest in compounded = Quarterly = 4

t = time in years = 15

P = $80,000/(1 + 0.031/4)^4 × 15

P = $80,000/(1 +0.00775)^60

P = $ 50,340.97

Hence, James would have to invest $50,340.97 today to have $80,000 in 15 years.

Please help me fast!!!. Joe and his family are touring Chicago. They want to visit the Willis Tower, hang out at Navy Pier, and shop on Michigan Avenue before their dinner reservations at 5:10 P.M. They plan to spend 1 hour and 10 minutes at the Willis Tower, 3 hours and 10 minutes at Navy Pier, and 1 hour and 15 minutes shopping. What is the latest time Joe's family can start their tour of Chicago and still make it to dinner on time?

Include A.M. or P.M. in your answer.

Answers

Answer:

11:10 am.

Step-by-step explanation:

The first thing I'm going to do is to add all the given time together

Total time = time spent at Willis tower + time spent at Navy Pier + time spent shopping

Total time = 1 HR and 10 minutes + 3 HR and 10 minutes + 1 hour and 15 minutes

Total time = (1 + 3 + 1) hr + (10 + 10 + 15) minutes

Total time = 5 hours + 35 minutes

The question doesn't make mention of how long they spent making the journey so, I'm assuming they spent 35 minutes driving around from Willis to the Pier and finally while shopping

Time = total time + time spent driving

Time = 5 hours 35 minutes + 35 minutes

Time = 6 hours and 10 minutes

Now, this time we've calculated, is what we're going to subtract from the dinner time to get our final answer

Needed time = dinner time - time

Needed time = 5:10 pm - 6:10

Needed time = 17:10 - 6:10

Needed time = 11:10

This means that they ought to start their tour by 11:10 am, so that they can meet their dinner

need help plz thanks​

Answers

Answer:

its B

Step-by-step explanation:

Answer:

5x+6=10+10=8x-15

Step-by-step explanation:

HELP PLEASE I GIVE BRAINLIEST

Answers

Answer:

30

Step-by-step explanation:

Perimeter of rectangle = 5y - 1 + 4y + 2 + 5y - 1 + 4y + 2

                                      = 18y + 2

18y + 2 = 128

18y = 128 - 2

     = 126

y = 126 ÷ 18

y = 7

Length of AD = 4y + 2

                      = 4(7) + 2

                      = 28 + 2

                      = 30

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