Determine a series of transformations that would map polygon ABCDE onto polygon A’B’C’D’E

Determine A Series Of Transformations That Would Map Polygon ABCDE Onto Polygon ABCDE

Answers

Answer 1

Answer:

Reflected across x-axis followed by a dilation with a scale factor of 2 about the origin.

Step-by-step explanation:

It's clear from the graph,

Polygon ABCDE is reflected across x-axis then dilated so that it overlaps polygon A'B'C'D'E'

Let's choose a point A having coordinates (-2, -1)

By reflecting point A across x-axis,

Rule to be followed for the reflection,

(x, y) → (x, -y)

By this rule, coordinates of the image point A will be,

A(-2, -1) → A"(-2, 1)

Now point A"(-2, 1) has been dilated by a scale factor = k to form an image points A'(-4, 2).

Rule for the dilation of a point about the origin is,

A"(x, y) → A'(kx, ky)

A"(-2, 1) → A'(-2k, k)

Since, coordinates of point A' are (-4, -2),

Therefore, -2k = -4

k = 2

k = 2

Hence, polygon ABCDE was reflected across x-axis followed by a dilation with a scale factor of 2 about the origin to form polygon A'B'C'D'E'.


Related Questions

Is x + 15 = 7 true when x = 12?
_________________________

Answers

Answer:

no not even if its supposed to be a negative

Step-by-step explanation:

12 + 15 = 27
Not true

Patrick wants to prepare a salad. He needs 3 cups of cooked macaroni, 3 cups of sliced oranges, 2 cups of sliced apple, 1 cup of chopped celery and 2 cups of mayonnaise. What is the total amount of ingredients?

Answers

Answer:

11 cups

Step-by-step explanation:

Answer:

11 cups

Step-by-step explanation:

3 + 3 + 2 + 1 + 2 = x

6 + 3 + 2 = x

6 + 5 = 11

11 cups

or you can just solve directly.

--Applepi101

Help me solve this !!! Math problem!

Answers

Answer:

The probability that she would succeed is 1/2

Step-by-step explanation:

Firstly. we have to calculate the area of the board

That would be the area of the rectangle

This is the product of the base and the height which is 50 cm * 40 cm = 2,000 cm^2

The area of the triangle is the area of the base and the height divided by 2

we have this as;

1/2 * 50 * 40 = 1,000 cm^2

The probability would be the area of the triangle divided by the area of the board

This is because she is aiming at the triangle while having the whole board to work against

This is 1,000 cm^2/2000 cm^2 = 1/2

2) Sandy empties 21 cookies into a jar. Twelve were vanilla-flavored and 9 were
chocolate-flavored. What fraction of cookies were vanilla- flavored?

Answers

Answer:

4/7

Step-by-step explanation:

12 vanilla / 21 total

12/21 = 4/7 (divide both sides by 3)

Answer:

3/7

Step-by-step explanation:

9 / 21 = 3/ 7

Jasmine, multiply your age by 3 and add 6. Then multiply this sum by 2. James, multiply your age by 2 and add 4. Then multiply this sum by 3. I predict you will both get the same number!

Answers

Expression for Jasmine → 2(3x + 6)
Expression for James → 3(2x + 4)

Hope I helped have a good day !

0.2x + 0.3 = 0.1x + 0.5

Answers

Answer:

x = 2

Step-by-step explanation:

0.2x + 0.3 = 0.1x + 0.5 ( subtract 0.1x from both sides )

0.1x + 0.3 = 0.5 ( subtract 0.3 from both sides )

0.1x = 0.2 ( divide both sides by 0.1 )

x = 2

Answer. X will be 2

r/3 - 9 ≥ - 2

pls show steps and answer

i’ll mark brainlyest

Answers

Answer:

r ≥ 20

Step-by-step explanation:

r/3 - 9 ≥ - 2

r/3 ≥ 7

Multiply both sides by 3

r ≥ 21

Answer: Good deal

Step-by-step explanation:

r/3-9≥2

r ≥ 20

r/3 - 9 ≥ - 2

r/3 ≥ 7

3 r ≥ 20

(-2-√3) (-2+√3) when simplified is​

Answers

Answer:

=1

Step-by-step explanation:

(-2-√3)(-2+√3)

=-2(-2+√3)-√3(-2+√3)

=4-2√3+2√3-√9

=4-3

=1

hii i’ll give brainliest please help thanks :)

Answers

Answer:

3,6,9

Step-by-step explanation:

123 456 789

Answer:

85

Step-by-step explanation:

hi plz mark brainlist

Find volume PLS HELP

Answers

Answer:

88.3

I just think so

I dont have a 20 letter explantion

PLZZZZZZZZZZZZ PLZZZZZZZZZZZZ PLZZZZZZZZZZZZ PLZZZZZZZZZZZZ help

Answers

Answer:

a. option is the correct answer

A. Decreased by 15% compared with last years amount

Answer the statistical measures and create a box and whiskers plot for the following set of data.

1, 1, 6, 10, 12, 13, 13, 14, 16, 19

Min:

Q1:

Med:

Q3:

Max:

Answers

Answer:

please check explanations

Step-by-step explanation:

Min stands for the minimum value

This is the smallest value

Looking at the numbers, the minimum value is 1

Q1 is the lower quartile

We have the formula as;

Q1 = (n + 1)/4

where n is the number of terms and that is 10

Q1 = (10 + 1)/4 = 11/4 = 2.75

This is approximately 3 and that means the the lower quartile is the third term and that is 6

Median is the middle value and that is;

(12 + 13)/2 = 25/2 = 12.5

Q3 is the third quartile and that is;

Q3 = 3(n + 1)/4 = 33/4 = 8.25

The third quartile is the 8th term and that is 14

Max is the highest number and that is 19

i hope u can help meeeee!!!​

Answers

Answer:

1)4,5,8

2)3,6,7

3)1 and2,5 and 6,3 and 4,7 and 8,1 and6,3and 8,2 and5,4 and 7

in which quadrant will the point lie if ordinate is 3 and abscissa is -7​
send a image of solution

Answers

Answer:

2nd Quadrant

Step-by-step explanation:

ordinate = y cordinate

abcissa = x cordiante

(-7,3)

( -,+) lies in second quadrant)

Hope u understand

Please mark as brainliest

Thank You

resuelve la siguiente ecuación trigonométrica 2Sena-√3=0

Answers

resuelve la siguiente ecuación trigonométrica 2Sena-√3=0

1) The numbers from 1 to 5 are written on slips of paper and placed in a bucket. What is the
theoretical probability of drawing a "2"?

Answers

Answer:

20%

Step-by-step explanation:

5 numbers in total, only 1 option = 1/5

-Gage Millar, Algebra 2 tutor

The amount of gallons of water remaining in a swimming pool after x hours is given by the equation,
y = -4,000x + 20,000
How long before the pool is completely drained?
O 1 hour
5 hours
3 hours
6 hours

Answers

Answer:

5 hours

Step-by-step explanation:

The pool will be completely drained when y = 0

0 = -4,000x + 20,000

subtract 20,000 from both sides

-20,000 = -4,000x

divide both sides by -4,000

x = 5

Have a good day!

Answer:

5 hours.

Step-by-step explanation:

When it is drained y will be = to zero, so

-4000x + 20000 = 0

-4000x = -20000

x = -20000/ -4000

= 5.

A basketball id stored inside a cylindrical container as shown. The height of the cylinder is 8 inches and its radius is 4 inches. The radius of the basketball is 4 inches. What is the total volume in cubic inches of the space inside the cylinder that is unoccupied

Answers

Answer:

[tex]134.041\ \text{in}^3[/tex]

Step-by-step explanation:

r = Radius of sphere = Radius of basketball = 4 inches

h = Height of cylinder = 8 inches

Volume of unoccupied space will be the difference in volume between the cylinder and the basketball

[tex]\Delta V=\pi r^2h-\dfrac{4}{3}\pi r^3\\\Rightarrow \Delta V=\pi r^2(h-\dfrac{4}{3}r)\\\Rightarrow \Delta V=\pi\times 4^2(8-\dfrac{4}{3}\times 4)\\\Rightarrow \Delta V=134.041\ \text{in}^3[/tex]

Unoccupied volume in the container is [tex]134.041\ \text{in}^3[/tex].

A survey was done to determine the amount of electricity used by residents in a local community. The survey data was compiled into the histogram below. Identify the approximate number of participants in the survey.

a) 150
b) 200
c) 350
d) 450

Answers

Given:

The histogram of a survey that represents the amount of electricity used by residents in a local community.

To find:

The approximate number of participants in the survey.

Solution:

Using the given histogram, we get the frequency table:

Electricity usage              Frequency

          50                                 23

         150                                 34

        250                                 25

        350                                 26

        450                                 42

Sum of frequencies is:

[tex]23+34+25+26+42=150[/tex]

It means the total number of participants in the survey is 150.

Therefore, the correct option is (a).

2. A right triangle has a hypotenuse of 15 cm. What are possible lengths for the two legs of the triangle? Explain your reasoning.​

Answers

Answer:

Two possible lengths for the legs A and B are:

B = 1cm

A = 14.97cm

Or:

B = 9cm

A = 12cm

Step-by-step explanation:

For a triangle rectangle, Pythagorean's theorem says that the sum of the squares of the cathetus is equal to the hypotenuse squared.

Then if the two legs of the triangle are A and B, and the hypotenuse is H, we have:

A^2 + B^2 = H^2

If we know that H = 15cm, then:

A^2 + B^2 = (15cm)^2

Now, let's isolate one of the legs:

A = √( (15cm)^2 - B^2)

Now we can just input different values of B there, and then solve the value for the other leg.

Then if we have:

B = 1cm

A = √( (15cm)^2 - (1cm)^2) = 14.97

Then we could have:

B = 1cm

A = 14.97cm

Now let's try with another value of B:

if B = 9cm, then:

A = √( (15cm)^2 - (9cm)^2) = 12 cm

Then we could have:

B = 9cm

A = 12cm

So we just found two possible lengths for the two legs of the triangle.

A class of 22 students split equally a 10 pound bag of candy.
How much did each student get?
(Simplify the answer.)

Answers

Each student reserved 2.2 pounds each

Step-by-step explanation:

I divided 22 by 10 and got 2.2 as for each student I am not sure if your teacher wants it simplified to the nearest whole number but if that's the case each student got 2 pounds of candy

Joshua has a rectangular work table. The sides of the table are 40 inches by 25 inches. What is the length of the diagonal of the table.

Answers

Given:

Dimensions of the rectangular table are 40 inches by 25 inches.

To find:

The length of the diagonal of the table.

Solution:

Diagonal of a rectangle is:

[tex]d=\sqrt{l^2+w^2}[/tex]

Where, l is the length and w is the width of the rectangle.

Putting [tex]l=40,w=25[/tex] in the above formula, we get

[tex]d=\sqrt{(40)^2+(25)^2}[/tex]

[tex]d=\sqrt{1600+625}[/tex]

[tex]d=\sqrt{2225}[/tex]

[tex]d\approx 47.17[/tex]

Therefore, the length of the diagonal is about 47.17 inches.

Which decimal is equivalent to 8 3/5 ?

Answers

8.6 is equivalent to 8 3/5

Please help, sorry the image is blurry I retook it multiple times.

Answers

Answer:

i dont really know for sure, but try P (-8, 6) Q (-5, 2) and R (2, 1) sorry if its wrong

Step-by-step explanation:

Representa en los mismos ejes de coordenadas, con colores distintos, las rectas r: y = 2x y s: y = 2x + 1.

Answers

Answer:

La gráfica con la rectas citadas se encuentran contenidas en la imagen adjunta.

Step-by-step explanation:

Dado que las rectas [tex]r[/tex] y [tex]s[/tex] son polinomios de primer orden, basta con conocer dos puntos distintos de cada una:

Recta r

[tex]A(x,y) = (0, 0)[/tex], [tex]B(x,y) = (1, 2)[/tex]

Recta s

[tex]C(x,y) = (0, 1)[/tex], [tex]D(x,y) = (1, 3)[/tex]

A continuación, ubicamos los puntos en un plano cartesiano y trazamos las rectas respectivas:

7 1/2 divided by 3/4 equals?

Answers

Answer:

The answer is 9 3/5

I hope this helps :)

.....................

Which statements about the system are true?
Select TWO options.

y = 1/3x - 4
Зу - х = -7

A. The system has one solution.

B. The system consists of parallel lines.

C. Both lines have the same slope.

D. Both lines have the same y-intercept.

E. The equations represent the same line.

Answers

2 Answers:

B)  The lines are parallelC)  The lines have the same slope.

Parallel lines always have equal slope, but different y intercepts.

==========================================================

Explanation:

Let's solve the second equation for y

3y - x = -7

3y = -7+x

3y = x-7

y = (x-7)/3

y = x/3 - 7/3

y = (1/3)x - 7/3

The equation is in y = mx+b form with m = 1/3 as the slope and b = -7/3 as the y intercept. We see that the first equation, where y was already isolated, also has a slope of m = 1/3. The two equations of this system have the same slope. Choice C is one of the answers.

However, they don't have the same y intercept. The first equation has y intercept b = -4, while the second has b = -7/3. This means that they do not represent the same line. They need to have identical slopes, and identical y intercepts (though the slope can be different from the y intercept of course) in order to have identical lines. So we can rule out choice D and E because of this.

Because the two equations have the same slope, but different y intercepts, this means the lines are parallel. Choice B is the other answer.

Parallel lines never touch or intersect, which in turn means there is no solution point. A solution point is where the lines cross. We can rule out choice A.

I recommend using your graphing calculator, Desmos, GeoGebra, or any graphing tool (on your computer or online) to graph each equation given. You should see two parallel lines forming. I used GeoGebra to make the graph shown below.

-3(12 - m) = -1(m - 8)

Answers

Answer:

m = 7

Step-by-step explanation:

- 3(12 - m) = - 1(m - 8)

- 36 - (- 3m) = - m - 8

- 36 + 3m = - m - 8

- 36 + 3m + m = - m + m - 8

- 36 + 4m = - 8

- 36 + 36 + 4m = - 8 + 36

4m = 28

4m ÷ 4 = 28 ÷ 4

m = 7

Andrew recorded the number of points his football team scored in each of the ten games of the season. The points are listed below. Which box plot correctly represents this data?

Answers

Answer:

the second one

Step-by-step explanation:

hai-

marissa says that the figure below is a rectangle. (the figure is a square). Is Marissa corrects?

Answers

Answer:

yes

Step-by-step explanation:

a square is a rectangle but a rectangle is not a square

meaing that a square is a rectangle but not all rectangles are squares

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