describe a sequence of transformations that maps figure a to figure b

Describe A Sequence Of Transformations That Maps Figure A To Figure B

Answers

Answer 1

Answer:

rotate CCW 90°dilate by a factor of 2

Step-by-step explanation:

First of all, we need to discover the relation Figure B has to  Figure A.

Figure B has dimensions that are twice those of Figure A, so a dilation by a scale factor of 2 will be required. The "points" of figure A are on its "south" side, while those of figure B are on its "east" side. Rotation 90° CCW will be involved.

If we consider just these two transformations, we find that they are sufficient to map A to B without any additional translation. Since both transformations use the origin as a reference, their order does not matter.

__

Rotating figure A by 90° CCW moves the vertex of its "notch" from (2, 2) to (-2, 2). Dilating the rotated fibure by a factor of 2 moves its "notch" vertex to (-4, 4), as shown in Figure B.

A suitable sequence of transformations is ...

Rotation 90° CCWDilation by a factor of 2 about the origin

These can be done in either order.

_____
Additional comment

The transformations are ...

  (x, y) ⇒ (-y, x) . . . . . . rotation 90° CCW

  (x, y) ⇒ (2x, 2y) . . . . dilation by a factor of 2

The composition of these transformations is ...

  (x, y) ⇒ (-2y, 2x)

Answer 2

Answer:

dilate by a factor of 2

rotate CCW 90°


Related Questions

What is the interquartile range of this data set? Enter your answer in the box​

Answers

From the stem and leaf plot, we get the following data points-

10, 23, 23, 28, 33, 45, 80, 90

First of all, the data should be arranged in the ascending order. The given data is already in the ascending order, so we can proceed directly.

The formula that is used to calculate the IQR is Q3-Q1, which is the difference between the third and the first quartile of the given data.

Now we need to find the median for the data given for the second quartile. Median is the average of the two central values- 28 & 33.

Hence we get Q2 = (28 + 33) / 2 = 30.5.

Now we find the median for Q1, which is the median of the lower part of the given data which is 10, 23, 23, & 28. (23 + 23) / 2 = 23.

Similarly, for Q3, which is the upper part- 33, 45, 80, and 90. We get (45 + 80) / 2 = 62.5.

Now we should subtract Q1 from Q3: Q3 - Q1 = 62.5 - 23 = 39.5.

So, the interquartile range is 39.5.

Here's a similar problem you can try to solve-

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A bag contains 7 green marbles, 9 red marbles, 10 orange marbles, 5 brown marbles, and 10 blue marbles. You choose a marble, replace it, and choose again. What is P(red, then blue)?

Answers

Answer:

9/41+10/41 which is 19/41

Step-by-step explanation:

If its right, mark me as brainliest

A spinner is divided into 11 equal sections numbered from 0 to 10. You spin the spinner once. What is P(even)

Answers

Answer:

[tex]p(even)= \frac{6}{11}[/tex]

Step-by-step explanation:

It's given in the question that;

The spinner is divided into 11 equal sections from 0 to 10.

You spin the spinner ONCE!

The total number of possibilities is six, and the total number of sample spaces is 11.

So the probability of getting an even number is; [tex]p(even)= \frac{6}{11}[/tex]

I hope this helps!  

. A pedestal is built using a trapezoid-shaped base. Find the area of the trapezoid.


(1 point)
A equals 18 meters squared
A equals 24 meters squared
A equals 15 meters squared
A equals 22 meters squared

Answers

18m^2

area of a trapezoid = (a+b)/2 * h, where a and b are bases 1 and 2, and h is height

(4+8)/2 * 3

= 12/2 * 3

= 6 * 3

= 18

Should be 18 square meters

Which of these is a pair of adjacent​ angles?

Answers

Answer:

C.

Step-by-step explanation:

C. Is a pair of adjacent angles

July bought 16 quarts of vinegar for $10.40. How much did she pay for 1 quart of vinegar?

Answers

Answer:

1.53$

Step-by-step explanation:

Do the equation 16 / 10.40 = 1.53.

pls give brainliest

What is spark addition?

Answers

Answer:

spark addition is a left to right addition

solve the problem - 4(6x + 7) ≥ 116

Answers

Answer:

if were solving for X, that's the answer

Step-by-step explanation:

Answer:

hope this helps

Step-by-step explanation:

18/10 more than a number of x is equal to 29/5

Answers

I believe the answer is 4, because u make a formula of x+18/10=29/5, and sinplify it and in the end u get 40/10 which is equal to 4

The value of [tex]x[/tex] such that [tex]\dfrac{18}{10}[/tex] more than a number of [tex]x[/tex] is equal to [tex]\dfrac{29}{5}[/tex] is [tex]4[/tex].

Draft a linear mathematical equation from the given data and solve the same to determine the value of [tex]x[/tex].

Solution

According to the question,

[tex]x+\dfrac{18}{10}=\dfrac{29}{5}\\x=\dfrac{29}{5}-\dfrac{18}{10}\\x=\dfrac{29-9}{5}\\x=4[/tex]

As a result, the value of [tex]x[/tex] is [tex]4[/tex].

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EDIT: NOT MAX POINTS REMAKING QUESITON

Answers

Answer:

:what is the question

What is the question tho -_-

Find the measure of angle six

Answers

90 it’s a right angle
It’s 90° because it is a right angle

If you see an angle that makes a perfect L shape/ looks like the corner of a square it is a right angle which is always 90°

If you see a straight line with no bend in it then it is 180°

The cafeteria at Midtown Middle School surveyed 575 students about their favorite food. Find the number of students that responded for each of the following. Show your work.
chicken: 8%
salad: 20%
burgers: 16%
fruit:24%

Answers

Answer:

chicken:46

salad: 115

burgers: 92

fruit:138

Step-by-step explanation:

chicken: 575*8%=46

salad: 575*20%=115

burgers: 575* 16% =92

fruit:575*24%=138

Heya someone else already explained but I’ll give it a go too! :) so 575 is 100%
Therefore when
575 —> 100%
X—> 8%
Then you cross multiply, 100x= 575x8
X= (575x8)/100.
That’s the mount of students for chicken :) continue this system to get the other values, hope this helped <3

An inspector at a shirt factory randomly selects shirts to inspect for defects. The table below shows the number of shirts she found with defects last week.
Based on this information, which of these is the best estimate of the probability that the next shirt she inspects will have a defect?
PLEASE HELP GIVING ALL MY POINTS AND BRAINLIST
A.
10%

B.
11%

C.
12%

D.
22%

Answers

Answer:

The answer is B

Step-by-step explanation:

find the average of how many she inspected every day:

(30+35+40+45+50)  /   5     =   40

(6+4+4+5+3)   /    5    =  4.4

so on average, she inspected 40 shirts a day and found (technically) 4.4 defects

so to find the percentage we do this:

4.4/40 * 100 = 11%

so the answer is B

I did the problem before the answer is b 11%

Math help!

77-999+6 divided by 2 =

Answers

77-99+6 divided by 2= -458
77-999+7divided by 2 would be -458

Devon studied 2 pieces by each modern artist featured in the museum. Each artist has the same number of works in the museum.

Is this sample of the work of the museum's modern artists likely to be biased?

Answer Yes or No

Answers

No, the work in the museum should not be biased
the answer would be no!

A small cruise ship has 220 passengers. At the Port of San Juan, 2 groups of 12 passengers go ashore to shop and 5 groups of 6 passengers go sightseeing. Evaluate 220 - (2 x 12) - (5 X 6) to find the number of passengers that are left on the ship. -​

Answers

Answer:

166

Step-by-step explanation:

Do the parathisis first

(2x12)=24

(5x6)=30

Then do

220-24-30=166

Answer:

166

Step-by-step explanation:

A circular hot spring has a diameter of 96 meters. Over time, the diameter of the spring decreases by 8 meters. By how many square meters does the area of the hot spring decrease? Use 3.14 for pi

Answers

Answer:

The area decreases by 1155.52 square meters

Step-by-step explanation:

What we must do is calculate the area before and after making the diameter cut.

The area of a circle is equal to:

a = pi * r ^ 2

now the diameter is equal to:

d = 2 * r

therefore r,

r = d / 2

before the cut would be

r = 96/2

r = 48

replacing in the area formula

a1 = 3.14 * 48 ^ 2

a1 = 7234.56 square meters.

after cutting the diameter decreases by 8, that is, 96 - 8 = 88, calculating the radius would be:

r = 88/2

r = 44

now calculating the new area would be:

a2 = 3.14 * 44 ^ 2

a2 = 6079.04 square meters.

now we calculate the difference

a1 - a2 = 7234.56 - 6079.04

= 1155.52 square meters

means that the area decreases by 1155.52 square meters

The area of Russia is about 1.71 x 107 square kilometers. The area of Jamaica is about 1.10 x 104 square miles. How many times larger is Russia than Jamaica? Write your answer in scientific notation, and round the decimal part of your answer to two decimal places.

Answers

Answer:

2 x 10^3 times

Step-by-step explanation:

-lukelaws

I hope I helped if I did please mark me brainliest!

The line plot below shows the heights of flowers grown by the students in one of the fifth grade classes. Persia makes a flower arrangement using the 8 longest flowers.

Which is the combined height of the flowers Persia uses?

A. 59 3/4 inches

B. 61 1/2 inches

C. 62 1/4 inches

D. 63 1/4 inches

Answers

The answer is 61 1/2

The combined height of the flowers Persia uses will be 61 1/4 inches. Then the correct option is C.

How does the dot plot work?

Suppose we're measuring something whose values are numeric. For each value of that thing we observe, we plot a dot above that value in the number line. Thus, the total number of dots in the dot plot tells us the total number of observations of the values of that thing we did.

The line plot below shows the heights of flowers grown by the students in one of the fifth-grade classes. Persia makes a flower arrangement using the 8 longest flowers.

Then the combined height of the flowers Persia uses will be

→ 6.5 + 6.75 + 7 + 7.25 + 7.5 + 7.75 + 8.5 + 10

→ 61.25

The number 61.25 can be written as

→ 61 and 1/4 inches

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The committee spends $640 dollars on spotlights.

Create an equation that can be used to find x, the number of spotlights the committee rented.

Answers

Answer:

32 spot light

Step-by-step explanation:

lets say each spot light was 20$ the answer would be 32 cuz 32 x 20 = 640 so our equation would be 640 ÷ 20 = x and x = 32

In ABC, m In XYZ, m

Include in Your Answer:

What is m What is m Is it possible for these two triangles to be similar? Why or why not?

Answers

Answer:

Angle C= 79 degrees

Angle X= 62 degrees

Yes, the two triangles are similar because all the angles are congruent. The requirement for two triangles to be similar is if two corresponding angles are equal.

Step-by-step explanation:

A triangle is 180 degrees.

So adding the angles of triangle ABC, 62+39=101

180-101=79, so angle c is 79 degrees

Adding the angles of triangle XYZ, 39+79=118

180-118=62, so angle x is 62 degrees

Answer:

Angle C= 79 degrees

Angle X= 62 degrees

Step-by-step explanation:

3a-2b=50, 2a+3b=100 what does a equal and what does b equal?

Answers

A = (350/13) and B = (400/-13)

Answer: I got A is 350 over 13 and B is 400 over -13

Step-by-step explanation:

Hope this helps!

What is the value of x in the figure?

Answers

Answer:

130

Step-by-step explanation:

130 because 130 +15 is equal to 145 and if the angles cross they're the same measure

The value of x is 65. We get this answer by multiplying it by 2 which gives us 130, then adding 15, which gives us 145. We know this is 145 degrees because of the primary angle given to us.

A student needed to find the measure of angle b. She incorrectly said m

Answers

measure of angle b= 27°

It’s a right angle, so 90-63=27!!!!!
Angle B= 27
The angle is right, so 90-63=27

find the value of x in the equation without evaluating the power

Answers

Answer:

4

Step-by-step explanation:

Here's my method of doing this:

We'll be using logarithms

Our question is:

[tex](\frac{1}{3})^{2}[/tex] × [tex](\frac{1}{3})^x[/tex] = [tex]\frac{1}{729}[/tex]

If we don't want to evaluate any powers at all we'll have to make each term have the same base (so that we can ignore the base — [tex]\frac{1}{3}[/tex])

we need to figure out what power of a [tex]\frac{1}{3}[/tex] the [tex]\frac{1}{729}[/tex] is.

what we can do is the following:

[tex](\frac{1}{3})^?[/tex] = [tex]\frac{1}{729}[/tex]

[tex]3^?[/tex] = 729

If we take the "log" of each, we can find out what power of 3 gives 729.[tex]log(3^?) = log\ 729[/tex]

We must remember this rule: [tex]log(a^n) = n \times log(a)[/tex]

[tex]? \times log 3 = log 729[/tex]

[tex]? = \frac{log\ 729}{log\ 3}[/tex]

? = 6 (with a calculator)

This means that to get 729, we need to do [tex]3^6[/tex]

Therefore [tex](\frac{1}{3})^6 = \frac{1}{729}[/tex]

We can now solve the equation!

[tex](\frac{1}{3})^{2}[/tex] × [tex](\frac{1}{3})^x[/tex] = [tex]\frac{1}{729}[/tex]

[tex](\frac{1}{3})^{2}[/tex] × [tex](\frac{1}{3})^x[/tex] = [tex](\frac{1}{3})^6[/tex]

Since each term of our equation has the same base of  [tex]\frac{1}{3}[/tex] we can ignore it and just deal with the powers!

We must remember this rule: [tex]x^a \times x^b = x^{a + b}[/tex]

Using this rule:

[tex](\frac{1}{3})^{2}[/tex] × [tex](\frac{1}{3})^x[/tex] = [tex](\frac{1}{3})^6[/tex] becomes...

[tex]2 + x = 6[/tex]

[tex]x = 6 - 2 = 4[/tex]

Which system of equations would have no solution? pls helpp

Answers

Answer:

3x+y=8 and 3x+y=9

Step-by-step explanation:

Assume these two equations:

a1x+b1y+c1=0

a2x+b2y+c2=0

If (a1/a2) = (b1/b2) ≠ (c1/c2) than those two would have no solution.

In these case, take a look at the last option:

[tex]3x + y = 8 \\ 3x + y = 9[/tex]

Re-write 'em as a standard form:

[tex]3x + y - 8 = 0 \\ 3x + y - 9 = 0[/tex]

So (a1/a2) = (b1/b2) ≠ (c1/c2) is true here:

[tex] \frac{3}{3} = \frac{1}{1} ≠ \frac{ - 8}{ - 9} [/tex]

And they do not have any collision point

The following shape has 1 pair of parallel sides.
What is the area of the shape?

Answers

Answer:

57

Step-by-step explanation:

There's three shapes, 2 triangles and 1 rectangle.

1. To find the area of a rectangle multiply the legth x width, so 5*2, which is 10.

2. To find the area of a traingle multiply the length and width, and then divide that by two. For the smaller triangle do 6*5, which is 30, and divide that by 2 for 15.

3. The big triangle shows the length of one side but not on the other. Because the length of the rectangle is the same on both sides, and the length 3 and 5 are on the same line, the other length of the large triangle is 8.

4. 8*8 is 64, and dividing that by 2 is 32.

5. Add all of the numbers: 10+15+32, which is 57.

The area of a 2D form is the amount of space within its perimeter. The total area of the given figure is 57 inches².

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

Let the given figure be divided into three parts. Such that the triangle on the left side or the bigger triangle is represented by A and the triangle on the right side of the smaller triangle is represented by B. The area of the given shape can be written as,

Area of triangle A = 1/2 × Height of triangle A × Base of the triangle A                               = 1/2 × 8 inches × 8 inches

                              = 32 inches²

Area of rectangle = Length × Breadth

                             = 5 inches × 2 inches

                             = 10 inches²

Area of triangle B = 1/2 × Height of triangle B × Base of the triangle B                                         = 1/2 × 5 inches × 6 inches

                             = 15 inches²

Further, the total area of the shape can be written as,

Total area = 32 inches² + 10 inches² + 15 inches²

                 = 57 inches²

Hence, the total area of the given figure is 57 inches².

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Match the given areas with the correct figure. All areas have been rounded to the nearest number.

Answers

Answer:

Read Explanation

Step-by-step explanation:

I will go in order from left to right on the top row, then go down to the bottom row and go from left to right. (btw most of these are just cutting shapes into smaller pieces)

1st shape:(40)+(40)+(5*4=20/2=10)

80+10=90cm

2nd shape:36+60=96cm

3rd shape: 56+(4*8/2)   56+16=72cm

4th shape: 12+55+5= 12+60=72 cm

5th shape:4+88=92 cm

6th shape:68 as it is the last option

i need help with my math

Answers

Answer:

19 yards squared

Step-by-step explanation:

3x5=15

2x2=4

15+4=19

what you want to do is divide the shape into 2 shapes (a square and a rectangle) then find the area of both shaped and add them together to get the area of the entire shape

GIVING BRAINLIEST AND 100 POINTS!!!

Complete the pattern on the table for the cost of 0, 1, 2, and 3 ice cream treats. Then write the ordered pair for each row.

Answers

Answer:

I need the table, if you give the table ill answer it right away.

Step-by-step explanation:

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