2. Describe a rigid motion or composition of rigid motions that maps the rectangular bench at (0, 10)and

the adjacent flagpole onto the other short rectangular bench and flagpole.

Answers

Answer 1

Answer:

See Explanation

Step-by-step explanation:

Given

Let the bench be B and the flagpole be T.

So:

[tex]B = (0,10)[/tex] --- given

The flagpole is represented by the triangular shape labelled T.

So, we have:

[tex]T = (6,9)[/tex]

See attachment for the rectangular bench and the flagpole

From the attached image, the location of the other bench is:

[tex]B' = (0,-10)[/tex]

And the location of the other flagpole is:

[tex]T' = (-6,9)[/tex]

So, we have:

[tex]B = (0,10)[/tex] ==> [tex]B' = (0,-10)[/tex]

[tex]T = (6,9)[/tex] ==> [tex]T' = (-6,9)[/tex]

When a point is reflected from [tex](x,y)[/tex] to [tex](x,-y)[/tex], the transformation rule is reflection across x-axis.

So the rigid transformation that takes [tex]B = (0,10)[/tex] to [tex]B' = (0,-10)[/tex] is: reflection across x-axis.

When a point is reflected from [tex](x,y)[/tex] to [tex](-x,y)[/tex], the transformation rule is reflection across y-axis.

So the rigid transformation that takes [tex]T = (6,9)[/tex] to [tex]T' = (-6,9)[/tex] is: reflection across y-axis.

2. Describe A Rigid Motion Or Composition Of Rigid Motions That Maps The Rectangular Bench At (0, 10)andthe

Related Questions

Sombody please help ASAP!​

Answers

Answer:

a translation down 9 unit

Step-by-step explanation:

a - 2/3 = 3/5 how much is a?

Answers

Answer:

19/15

Step-by-step explanation: In order to solve for A add 2/3 to both sides of the equation to get A alone and 2/3 + 3/5 is equal to 10/15 + 9/15 which means the answer is 19/15.

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Answers

Answer:

A is the answer.

Step-by-step explanation: It would go up about 2.2 i hope i helped! <3

Answer: A is your answer

Step-by-step explanation:

i’m lost on this help would be nice

Answers

Answer:

3x - 4 = 14

+4. +4

3x = 18

÷3. ÷3

x = 6

what is the x 19 + 13x = 32

Answers

Answer:

1

Step-by-step explanation:


[tex] \frac{ - 48 + 6}{ - 7} + ( - 3)( - 4)( - 2)[/tex]

Answers

Step-by-step explanation:

[tex] \frac{ - 48 + 6}{ - 7} + ( - 3)( - 4)( - 2) \\ = \frac{ - 42}{ - 7} + 12( - 2) \\ = 6 + ( - 24) \\ = 6 - 24 \\ = - 18[/tex]

Landon is going to invest in an account paying an interest rate of 4.3%
compounded continuously. How much would Landon need to invest, to the
nearest hundred dollars, for the value of the account to reach $11,300 in 14
years?

Answers

Answer:

$6,100

Step-by-step explanation:

So to solve this problem, let's give the amount of money the variable "x". We just need to do x - 0.043 × x. Then we replace x with our answer and repeat the process 13 more times.

Answer:

$6200

Step-by-step explanation:

Mrs. Smedema likes cookies. Each student in her 8th grade math class presented her with a cookie. One-third of the students each gave her an oatmeal cookie, one-sixth of the students each gave her a cinnamon cookie, one-fourth of the students each gave her a chocolate chip cookie, and the remaining 9 students each gave her a peanut butter cookie. How many students are in Mrs Smedema’s 8th grade math class?

Answers

Late answer, but whatever.

Answer:

36. There are 36 students in the class.

Step-by-step explanation:

4/12 oatmeal

2/12 cinnamon

3/12 chocolate

9 peanut

The fractions added together = 9/12

This means the 9 students = 3/12 of the class

3 x 4 = 12

9 x 4 = 36

Consider the function shown below.
g(x) = 2^x
If the function g is horizontally compressed by a factor of 1/2 and reflected across the x-axis to obtain function f, which of the following graphs matches the above transformation?

Answers

The graph of the transformation by of horizontally compressing g(x) by a factor of 1/2 and then reflecting across the x-axis is graph Y

How to determine the graph?

The function is given as:

[tex]g(x) = 2^x[/tex]

When compressed horizontally by a factor of 1/2, the transformation rule is:

g'(x) = g(2x)

So, we have:

[tex]g(2x) = 2^{2x}[/tex]

[tex]g(2x) = 4^x[/tex]

When reflected across the x-axis, the transformation rule is:

[tex](x,y) \to (x,-y)[/tex]

So, we have:

[tex]f(x) = -4^x[/tex]

The graph represented by this is graph Y.

Hence, the graph of the transformation is graph Y

Read more about transformation at:

https://brainly.com/question/4289712

#SPJ2

find the shaded region of the figure below​

Answers

Answer:

-x³ + 3x² - 14x + 12

Step-by-step explanation:

Area of outer rectangle = (x² + 3x - 4) * (2x - 3)

      = (x² + 3x - 4) * 2x  + (x² + 3x - 4) * (-3)

     =x²*2x + 3x *2x - 4*2x  + x² *(-3) + 3x *(-3)  - 4*(-3)

     =2x³ + 6x² - 8x - 3x² - 9x + 12

    = 2x³ + 6x² - 3x²   - 8x - 9x + 12     {Combine like terms}

    = 2x³ + 3x² - 17x + 12

Area of inner rectangle = (x² - 1)* 3x

                                       = x² *3x - 1*3x

                                       = 3x³ - 3x

Area of shaded region = area of outer rectangle - area of inner rectangle

         = 2x³ + 3x² - 17x + 12 - (3x³ - 3x)

         = 2x³ + 3x² - 17x + 12 -3x³ + 3x

        = 2x³ - 3x³ + 3x² - 17x + 3x + 12

        = -x³ + 3x² - 14x + 12

3(2w -4) equals what

Answers

Answer:

6W-12

Step-by-step explanation:

Answer:

6w-12

Step-by-step explanation:

distribute:

3(2w-4) = 6w-12

Answer will give brainliest!

Answers

Answer:

One point would be on (0,0) and the other on (1,-5)

Step-by-step explanation:

hope this helped :)

Which of the following sets of points would create a rectangle when connected?
A.
(1,2) , (2,3) , (3,5) , (5,1)
B.
(2,1) , (3,2) , (5,3) , (1,5)
C.
(1,2) , (3,1) , (3,2) , (1,5)
D.
(1,2) , (3,2) , (3,5) , (1,5)

Answers

CORRECT ANSWER: D
Explanation: I just did the work, but the y’s on the first two match up and they match in the second two. It’s D

Help. I need help asap

Answers

Answer:

sorry

Step-by-step explanation:

i can't understand your question

there is no clarity

Please help me!!!!!!!!

Answers

Answer:

#6) A = 72 sq units

Step-by-step explanation:

area of ΔAOB = 6

area of ΔCOB = 6

area of ΔCOD = 30

area of ΔCOD = 30

Ben rolls a number cube 50 times. He records the result of each roll in the table below. RESULTS OF ROLLING NUMBER CUBE Outcome 1 2 3 4 5 6 Frequency 7 6 5 11 10 11 Based on the data, which statement is true? Ben will roll an even number about 250 times if the number cube is rolled 500 times. Ben will roll an even number about 220 times if the number cube is rolled 500 times. Ben will roll an even number about 700 times if the number cube is rolled 1,000 times. Ben will roll an even number about 560 times if the number cube is rolled 1,000 times.​

Answers

Answer:Ben will roll an even number about 560 times if the number cube is rolled 1,000 times.

Step-by-step explanation:

Please help!
look at photo to answer!!!

Answers

Answer:

the answer is A

Step-by-step explanation:

-1+6=5

0+6=6

1+6=7

Answer this question
y is less than or equal to three more than the product of x and negative two thirds put it on standard form

Answers

I hope this helps you

you are part of a group of tourists in Yosemite National Park who want to rent bikes to ride around the valley floor. you arrive at the bicycle rental shop and see that there are two different rental plans:

Plan A: $15 initial fee, plus $2 per hour
Plan B: $5 initial fee, plus $4 per hour

The group doesn't know which plan is best for each person, but you volunteer to use your algebra skills to analyze the situation. Define two variables, write and solve a system of equations to answer the following questions.

a) For which people is plan A best? For which people is plan B best?

b) When are the costs of the two plans the same and what is the cost?

Answers

Answer:

a

Step-by-step explanation:

A is the correct answer

which set of side lengths form a right triangle ? 12 cm, 13 cm , 14 cm
9 cm , 15 cm , 18cm
7cm , 24 cm , 25 cm,
2 cm , 2 cm , 4cm

Answers

Answer:

12 cm ,13cm 14cm is the correct answer

Joseph is a friend of yours. He has plenty of money but little financial sense. He received a gift of $12,000 for his recent graduation and is looking for a bank in which to deposit the funds. Partners' Savings Bank offers an account with an annual interest rate of 3% compounded semiannually, while Selwyn's offers an account with a 2.75% annual interest rate compounded continuously. Calculate the value of the two accounts at the end of one year, and recommend to Joseph which account he should choose.

Answers

Answer:

The value for partners savings bank at the end of 1 year is $12,362.70. The value for Selwyn's at the end of 1 year is $12,334.58. The future value obtained by investing in Partners Saving Bank is more as compared to Selwyn’s Saving Bank. Hence Joseph is recommended to choose Partners Saving Bank.

Step-by-step explanation:

The value of the interest rate and the compounding applied, gives the

value in the account after one year.

The value of the account with Partner's Bank after one year is approximately $12,362.7, which is higher than the value in the Selwyn's account.The value in Selwyn's which after one year is $12,344.58.Joseph should choose the Partner's Bank account

Reasons:

The amount Joseph receives as gift, A₀ = $12,000

Amount interest from Partner's Savings Bank, r = 3% compounded semiannually

Interest rate offered by Selwyn's, r = 2.75% compounded continuously

Required:

The value of the two account at the end of one year.

Solution:

[tex]A_t = A_0 \cdot \left(1 + \dfrac{r}{2} \right)^{2 \times t}[/tex]

The amount at the end of one year (t = 1) in Partner's Savings Bank is therefore;

[tex]A_t = 12,000 \times \left(1 + \dfrac{0.03}{2} \right)^{2 \times 1} = 12,362.7[/tex]

The value in the Partner's Savings Bank after one year, A(t) ≈ $12,362.7

The value of an account at Selwyn's is therefore;

The interest rate compounded continuously is presented as follows;

[tex]A(t) = \mathbf{A_0 \cdot e^{r \cdot t}}[/tex]

A₀ = The original amount invested = $12,000

Which gives;

[tex]A(t) = 12,000 \times e^{0.0275 \times 1} \approx \mathbf{12,334.58}[/tex]

The value of the account at Selwyn's after one year, A(1) ≈ $12334.58

Therefore, the account Joseph should choose is the Partner's Savings Bank  that gives a higher value in the account after one year.

Learn more here:

https://brainly.com/question/21896604

find the range of f(x)=2/5x + 5 for the domain (-4, -2, 0 3)
my answer is 3.4, 4.2, 5, 6.2 but im not fully sure

Answers

Answer:

Your answers are correct

Step-by-step explanation:

HELP PLEASE!!! WILL CROWN BRAINLIEST....
The temperature on Sunday was 7 C. The temperature dropped 8 C on Monday
and dropped twice as much on Tuesday. What was the temperature on Tuesday?

Answers

Answer: - 17 C

Step-by-step explanation: 7 - 8 is negative 1 and twice as much of 8 is 16. -1 minus 16 is negative 17 (-17).

Graph a line that has a slope of 5/2 and includes the point (-2, -7)

Answers

First make an equation
Y = 5/2x + b
Plug in the points
-7 = 5/2(-2) + b
-7 = -5 + b, b = -2
Equation: y = 5/2x - 2

Find two points and draw a line
(0, -2) and (-2, -7)
Draw a line between the points

Duncan has cups of sand. He divides the sand equally into 4 containers. He uses all the sand in 1 container to make pieces of sand art. It takes cups of sand to complete each piece of sand art. How many pieces of sand art does Duncan make? A. 1 2/3 B. 2 C. 4 D. 5 5/9

Answers

Answer:

4

Step-by-step explanation:

From the above question:

1/4 cup of sand = 1 sand art

1 cup of sand = x

Cross Multiply

x × 1/4 cup of sand = 1 cup of sand × 1 sand art

x = 1 cup of sand × 1 sand art/1/4 cup of sand

x = 1 ÷ 1/4

x = 1 × 4

x = 4 pieces sand art

Therefore, Duncan can make 4 pieces of sand art.

Select the function that represents the simple interest formula.

A. A) = P(1 + )- 1, where n is a positive integer

O

B. A(n) = P+ (n-1);• P, where n is a positive integer

O

C. An) = n + (-1). P, where n is a positive integer

O

D. A(n) = (1 - 1)(P:n)', where nis any real number

Answers

Answer:

B. A(n) = P + (n-1)i*P

Step-by-step explanation:

The formula to determine the simple interest formula is given below:

Simple interest = P×r × t

where

P denotes the principal

r denotes the rate of interest

And, t denotes the number of years

Now we replace i with the t

So,

SI = Pni

Now for n-1 years, the simple interest is

SI = P(n - 1)×i

So, the total amount would be

A(n) = P + (n - 1)i × P

wuestion
A restaurant customer left $1.05 as a tip. The tax was 6% and the tip was 15% of the cost including
tax.

What was the total bill?


Plz help due at 11:59
I will mark right answer brainliest

Answers

6% + 15% = 21% altogether
1.05 = 0.21x
x = 5
The total bill is $5

The table below gives the distribution of milk
chocolate M&M's
Color
NA
DO
Probability
0.13
0.13
0.14
0.16
0.20
0.24
If a candy is drawn at random, what is the probability
that it is not orange or red?

Answers

Answer: .67

Step-by-step explanation:

got it right on acellus

What is another way to express 52 + 24?
8 (6 + 3)
4(13+6)
6 (9+4)
13 (4+2)
Done

Answers

Answer:

it's the 2nd one

Step-by-step explanation:

hoped I helped:)

What is the measure of the unknown segment? ​

Answers

Answer:6

Step-by-step explanation:

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