Mathematics College

AABC - DEF. What sequence of transformations will move A ABC onto A DEF? 10 8 A(0.4) B(0,0) C(3.0) -10 -8 -6 -4:1-2 6 8 10 -2D(0.2) 24 8 -10 E(0.-10) F( 6-10)​

AABC - DEF. What Sequence Of Transformations Will Move A ABC Onto A DEF? 10 8 A(0.4) B(0,0) C(3.0) -10

Answers

Answer 1

Answer:

Option B

Step-by-step explanation:

It's clear from the graph attached,

ΔABC has been dilated and shifted downwards.

Length of segment AB = 2 units

Length of segment DE = 4 units

Scale factor by which the dilation has been done = [tex]\frac{\text{Dimension of the image triangle}}{\text{Dimension of the original triangle}}[/tex]

Scale factor = [tex]\frac{DE}{AB}[/tex]

                    = [tex]\frac{4}{2}[/tex]

                    = 2

Therefore, triangle ABC is dilated by a scale factor of 2 about the origin.

Lets consider a point B(0, 0) from the given graph and analyze the transformations done.

If a point B(0, 0) is shifted to point E(0, -10) which follows the rule,

B(0, 0) → E(0 + h, 0 + k)

Here, 'h' and 'k' are the translations of the given point over x-axis and y-axis.

Therefore, (0 + h) = 0 ⇒ h = 0

0 + k = -10

k = -10

Hence, triangle ABC has been dilated by a scale factor of 2 centered at origin and followed by the translation (x, y - 10)

Option B is the correct option.

Related Questions


A bookmark is shaped like a rectangle with a semicircle attached at both ends. The rectangle is 17 cm
long and 4 cm wide. The diameter of each circle is the width of the rectangle. What is the area of the
bookmark? Use 3.14 for it.
The area of the bookmark is
cm?

Answers

Answer:

80.56

Step-by-step explanation:

To find the rectangle area you just multiply its length by its width:

17 * 4 = 68

You have to sum two semicircles on top of that. Since it is 2 semicircles you can just calculate one circle. Using the circle area formula:  [tex]\pi*r^2[/tex]

Since the radius (r) is 2 and [tex]\pi[/tex] is 3.14, you have the following equation:

A = 3.14 * 2² ==>      A = 3.14 * 4   ==>   A = 12.56     (A is Area)

Sum the rectangle's area with the circle's area:

12.56 + 68 = 80.56

And vuoila! there's your answer.

While remodeling their living room, the Smart family decided to repaint the walls. They
estimated that they could repaint 55 square feet every half-hour. How many square feet
can they paint per hour?

Answers

Answer:

The Smart family could paint 110 square feet per hour.

Step-by-step explanation:

Given that while remodeling their living room, the Smart family decided to repaint the walls, and they estimated that they could repaint 55 square feet every half-hour, to determine how many square feet can they paint per hour the following calculation must be performed:

1/2 = 0.5

0.5 = 55

1 = X

55 / 0.5 = X

110 = X

Therefore, the Smart family could paint 110 square feet per hour.

What is the value of the expression below if x = 4.
3 + (x - 2)x4

Answers

Answer:

515

Step-by-step explanation:

I’m not sure if you meant the x in front of the 4 as a multiplication sign or not but I assume it is.

75 points pls hurry!!!

Answers

Answer:

15 ÷ 1/3

Step-by-step explanation:

Quotient means division

15 ÷ 1/3

Answer:

15÷1/3

Step-by-step explanation:

Hope this helps!

Have a lovely day!

Part A
The function f(x) = −4x2 + 18x + 16 models the predicted sales of a hat after x price increases. Use the table showing actual and predicted sales to find the residuals for the model. Part B
Function g also models the predicted sales of the hat in Part A. For function g, the average distance of the residuals from the line y = 0 is 1.3. Is f or g a better model for the data?
Use the drop-down menu to show your answer.

Drag the numbers to complete the table. Numbers may be used once, more than once, or not at all.
Actual Sales ($) Predicted Sales ($) Residual
0 17 16
1 29 30
2 34 34
3 33 34
4 22 24

Answers

Answer:

Actual Sales  |    Predicted Sales   |   Residual

       $                            $                              

      17            |       16                     |   1

      29           |      30                     |  -1

    34            |       34                     |   0

     33            |       34                     |   -1

    22            |       24                     |  -2

-----------------------------

hope it helps..

have a great day!!

Select the correct answer.
The chaperones for a field trip to the museum will be 7 history teachers and 13 science teachers. Each student on the trip will be assigned to a
group led by two chaperones.
What is the approximate probability that a random student on the trip will be assigned to a group led by two history teachers?
O A
11.1%
ОВ.
2.3%
Ос.
28.6
OD. 12.3

Answers

Answer:

A 11.1%

Step-by-step explanation:

The students are chosen from a sample without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question, we have that:

13 + 7 = 20 teachers, which means that N = 20.

7 history teachers means that k = 7.

Two teachers for each student, which means that n = 2.

What is the approximate probability that a random student on the trip will be assigned to a group led by two history teachers?

This is P(X = 2). So

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 2) = h(2,20,2,7) = \frac{C_{7,2}*C_{13,0}}{C_{20,0}} = 0.1105[/tex]

So close to 11.1%, and the correct answer is given by option A.

Answer: 11.1%

Step-by-step explanation: Correct on Edmentum

Can some one help me with this？

Answers

Answer:

8 in

Step-by-step explanation:

Area = (diagonal 1 x diagonal 2)/2

60 = (diagonal 1 x 15)/2

60 x 2 = diagonal 1 x 15

120 = diagonal 1 x 15

diaognal 1 = 120/15 = 8

Suppose y varies jointly as x and z. Find y when x=9 and z=-3, if y=-50 when z is 5 and x is -10.

Answers

Answer:

y = -27 when x = 9 and z = -3

Step-by-step explanation:

y = kxz is the joint variation where k is a constant

Substitute the knowns in to find k

-50 = k( -10)(5)

-50 = -50k

k = 1

y = xz

Now find y

y = 9*-3

y = -27 when x = 9 and z = -3

FREE BRANLEIST URGENT WITH EQUATION!! WILL REPORT AND GET BANNED IF LINKS AND INCORRECT ANSWERS

Answers

Answer:

ok so a it' probabily 21 or a number between 1-10

Step-by-step explanation:

Answer:

q.10 142 degree

q.11 x=11

q.12 complementary angles

HELP HELP HELP HELP PLS

Answers

Answer:

D. 14 Please mark as brainliest!

Answer:

14

Step-by-step explanation:

can you help me solve for x.​

Answers

Answer:

x=4

Step-by-step explanation:

What's the length of one leg of a right triangle if the length of the other leg is 24 units and the length of the hypotenuse is 25 units?

Answers

Answer:

The length would be 7 units

Use the drop-down menus to explain if the two figures below are congruent, similar, or neither. If the figures are similar, state the scale factor.

PLEASE ANSWER
The drop down selections are is is not for the first part and the second are is can/cannot
also, if there is a scalefactor please tell me what it is!

Answers

Answer:

Is can

Is can

1 is the answer

Step-by-step explanation:

But what’s the name of that topic?

Answer:

Is can

Is can

1 is the answer

Step-by-step explanation:

]This problem is for my math class
Solve the inequality below
6x - 5 < 55

Answers

Answer: x < 10

Step-by-step explanation: Just like any of your two-step equations, in this inequality, start by isolating the x term which in this case is 6x by adding 5 to both sides.

That leaves you with 6x < 60 and now just divide both sides by 2 and x < 10.

Notice that because we divide both sides of the inequality

by a positive number, not a negative, we did not change the

direction of the inequality sign.

Finally, put your answer in set notation, {x: x < 10}.

Unlike an equation which normally has one solution, the answer to an inequality must be stated as a solution set because an entire set of answers will work. In this problem, it's any number less than 10.

28)A regression equation is obtained for a collection of paired data. It is found that the total variation is 24.488, the explained variation is 15.405, and the unexplained variation is 9.083. Find the coefficient of determination.

Answers

Answer: The coefficient of determination = 0.6291

Step-by-step explanation:

Given: Total variation is 24.488, the explained variation is 15.405, and the unexplained variation is 9.083.

The coefficient of determination is computed as:

[tex]\text{ coefficient of determination} =\frac{\text{explained variation }}{\text{total variation}}[/tex]

Substituting given values, we get

[tex]\text{coefficient of determination} =\frac{15.405}{24.488}[/tex]

[tex]=0.6291[/tex]

Therefore, the coefficient of determination = 0.6291

Dulce and Luis buy some fruit at the market. Dulce buys 5 cartons of blueberries for a total cost of $13.75. At this
rate, how many cartons of blueberries can Luis buy with $11?
Enter your answer in the space provided.

__________



PLEASE HELP

Answers

Answer:

Dulce and Luis buy some fruit at the market. Dulce buys 5 cartons of blueberries for a total cost of $13.75. At this

Step-by-step explanation:

Answer:

[tex]hey \: the \: answer \: is \: 4 \\ here \: is \: the \: step \: by \: step \: explanation[/tex]

Step-by-step explanation:

[tex]dulce \: bought \: 5 \: cartons \: and \: paid \: 13.75 \: dollrs \: so = \\ \frac{5}{13.75} \\ how \:many \:cartons \: \: with \: 11dollars \\ \frac{5}{13.75} \frac{?}{11} \\ 5 \times 11 \div 13.75 \\ or \\ \frac{5}{13.75} \times 11 \\ the \: answer \: is = \\ 4 \: cartons[/tex]

Is my answer correct?

Answers

Answer:

Yes Your answer correct because i know that

Step-by-step explanation:

(◍•ᴗ•◍)❤

[tex] \: \: \: \: \: \: \: \: \huge{ \mathrm{  \underbrace{ A nswer s}\:  \:  }}[/tex]

Figure : 1

The value of an exterior angle is equal to the sum of values of two opposite interior angles.

That is :

[tex]40 \degree + 40\degree = 3x + 20\degree[/tex][tex]80\degree = 3x + 20\degree[/tex][tex]3x = 60\degree[/tex][tex]x = 20\degree[/tex]

Therefore, value of x is 20°

And the measure of missing angle is :

[tex]3x + 20\degree[/tex][tex](3 \times 20\degree) + 20\degree[/tex][tex]60\degree + 20\degree[/tex][tex]80\degree[/tex]Figure : 2

The Value of an Exterior angle is equal to the sum of values of two opposite interior angles .

Hence,

[tex]v + 71\degree = 107\degree[/tex][tex]v = 36\degree[/tex]

And therefore measure of missing angle is 36°, since v was the missing angle here.

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

On a model castle, 1 inch equals 83 feet. The model is 10.5 inches wide. What is the actual width of the castle?

Answers

Answer:

871 and 1/2 ft.  

What are the domain and range of Y = sin X? select one choice for domain and one for range. (Answers in photo)

Answers

Answer: The answers are A and B

Step-by-step explanation:

Ap3x

The domain and range of function Y = sin X will be all the real numbers and  [tex]-1\leq y\leq 1[/tex].

What is the domain and range of a function?

The domain is the set of values for which the given function is defined.

The range is the set of all values which the given function can output.

We have been given a function Y = sin X.

We need to find the domain and range of function .

Here we can see that the given function is a sine function.

So, the domain of the function would be all the real numbers.

also, The range will be [tex]-1\leq y\leq 1[/tex].

Therefore, options A and B are the correct answer.

Learn more about appropriate domain here:

https://brainly.com/question/20073127

#SPJ2

What is the area of the base of the prism?

Answers

24ft
because area is l•w
8 • 3 is 24

Answer:

24

Step-by-step explanation:

8 x 3 = 24

Your two given side lengths are 8 as your width.

3 as your length.

We multiply them together to get the area of the rectangle(base).

The question is in the picture. (Alegbra 1)

Answers

Answer:

Step-by-step explanation:

4/5a*3/2a^2

4*3/5a*2a^2

12/10a^3

6/5a^3

therefore ur answer is 6/5a^3

Answer:

option 3

Explanation :

9.

          [tex]\frac{4}{5a} \cdot \frac{3}{2a^2} = \frac{12}{10 a^3} = \frac{6}{5a^3}[/tex]

Estimate: 1/5 + 3/7

Answer:

Answers

Answer:1/2

Step-by-step explanation:

The Answer to the question is 1/2

PLEASE HELP ME SOLVE FOR X

Answers

Answer:

7. x = 10

8. x = 13

9. x = 17

10. x = 5

11. x = 9

12. x = 11

Step-by-step explanation:

Explanation for Number 7.

The exterior angle is always equl to the sum of the two opposite interior angles.

The two opposite interior angles: 62 and (7x + 14)

The exterior angle: (15x - 4)

So you would set it up like _____ = ______ to solve for x

62 + (7x +14) = 15x - 4

62 + 7x + 14 = 15x - 4

Then move the terms

76 + 7x = 15x - 4

Collect the like terms and Calculate

7x - 15x = -4 - 76

Divide both Sides

-8x = -80

/8       /8

-x = -10

/-1    /-1

x = 10

Hope this helps ^^

In 2000, the population of a town was 46,020. By 2002 the population had increased to 52,070. Assuming that the towns population is increasing linearly answer the following questions.

What is the population of the town by 2006?

What year will the towns population reach 75,000? ​

Answers

Answer:

Multiply 5207 by 4 for 2006

Step-by-step explanation:

Tim is a postman that works at a local post office. The basic postage is $1.25 and cover any letter that is lighter than 7.5 grams. For heavier letters, extra postage of $.087 is needed for every 10 grams over 7.5 grams.Can a letter that is 705100 grams be covered by the basic postage

Answers

Answer:

705/100 grams cann be covered by the basic postage

Step-by-step explanation:

Given

Basic Postage

[tex]Weight < 7.5g[/tex]

Heavy letters

[tex]Weight \ge 7.5g[/tex]

Required

Can [tex]705/100[/tex] be covered in basic postage?

We have:

[tex]Weight = 705/100\ g[/tex]

[tex]Weight = 7.05\ g[/tex]

By comparing the above with the range of basic postage ---- [tex]Weight < 7.5g[/tex]

We have:

[tex]7.05g < 7.5g[/tex]

Since the above inequality is true, then the letter can be covered

Lori downloaded all the pictures she took at Rita’s wedding into a single computer folder. She took 86 of the 134 pictures with her camera and the remainder of them with her cell phone. Of the pictures Lori took with her cell phone, one out of every five was blurry.

To the nearest whole percent, what is the probability that when she opens a random picture from the computer folder, it will be a blurry picture she took with her cell phone?

7%
13%
31%
56%

Answers

7%

total- 134
pictures in camera roll- 86
134-86=48
1/5 • 48/134 =0.0716
0.0716•100=7.16
when rounded you get 7%

The probability that when she opens a random picture from the computer folder, it will be a blurry picture she took with her cell phone is 7%.

What is probability?

Probability is the likelihood or tendency that something will occur.

Probablility of blurry picture=(134-86)×0.2/134

Probablility of blurry picture=48×0.2/134

Probablility of blurry picture=9.6/134×100

Probablility of blurry picture=7.16

Probablility of blurry picture=7% (Approximately)


Thus, the probability that when she opens a random picture from the computer folder, it will be a blurry picture she took with her cell phone is 7%.

Learn more about probability here:https://brainly.com/question/24756209

5x(x + 2) - 12x distribute and combine like terms

Answers

Answer:

Answer = 3x

Step-by-step explanation:

5x(x + 2) - 12x (x (by itself) = 1)

5x + 10x - 12x

15x - 12x

3x

A spinner with 12 equally sized slices is shown below. (The 12 slices are red.) The dial is spun and stops on a slice at random. What is the
probability that the dial stops on a red slice?
Write your answer as a fraction or a whole number.

Answers

Answer:

100/100

Step-by-step explanation:

XD

3926 use each digit once, make the largest 4-digit number​

Answers

Answer:

9632 is the largest number

GUYS I NEED HELP FAST

Answers

Answer:

i don’t know do it yourself

Step-by-step explanation:

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