PLS HELP Polygon ABCD with vertices at A(1, −2), B(3, −2), C(3, −4), and D(1, −4) is dilated to create polygon A′B′C′D′ with vertices at A′(4, −8), B′(12, −8), C′(12, −16), and D′(4, −16). Determine the scale factor used to create the image.

one fourth
one half
2
4

Answers

Answer 1

The scale factor used to create the image is given as follows:

4.

What is a dilation?

A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.

In the context of this problem, we have that each vertex of A'B'C'D' is obtained with the multiplication of each of the coordinates of ABCD by four.

For example, we have that vertex A has the coordinates A(1, -2), while the equivalent vertex A' has the coordinates of A'(4, -8).

Hence the scale factor used to create the image is given as follows:

4.

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Related Questions

a farmer sells 7.2kilograms of pears and apples at a farmers market . 3/5 of this wirght is pears, and the rest is apples . how many kilograms of apples did she sell at the farmers market

Answers

The farmer sold 3.6 kilograms of apples at the farmers market.

To find the weight of apples the farmer sold at the farmers market, we need to subtract the weight of pears from the total weight.

We have,

3/5 of the weight is pears, the weight of pears

= (3/5) x 7.2 kilograms.

= 3.6 Kg

Since the remaining weight is apples, we can calculate the weight of apples by subtracting the weight of pears from the total weight:

Weight of apples = Total weight - Weight of pears

= 7.2 - 3.6

= 3.6 kilograms

Therefore, the farmer sold 3.6 kilograms of apples at the farmers market.

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Isabel went to the grocery store. She spent $15.91 on vegetables and $11.22 on fruit. She also bought some bread. If she paid with 3 ten dollar bills and got 45 cents back in change, how much did she spend on bread?

Answers

Answer:
$15.91+$11.22=$27.13

$30-$0.45=$29.55

$29.55-$27.13=$2.42

Multiply

4 8/9 • 1 1/3

Answers

Answer:

Step-by-step explanation:

[tex]4\frac{8}{9} . 1\frac{1}{3}\\= \frac{44}{9}.\frac{4}{3} \\= \frac{176}{27}[/tex]

50 Points! Multiple choice algebra question. Photo attached. Thank you!

Answers

The correct option would be (B) if the chances of it raining are 75% then the circle with 75% covered white and the other black that would be the exact thing you need to simulate as the the rest do not match the percentage needed to be accurate

Consider polygon ABCD, shown below.
B
C
E
A
G
F
D
Select all the ways that describe rigid transformations that take AEFD to CFEB.

Answers

The option that describes the rigid transformation that take AEFD to CFEB are:

Rotate AEFD 180 degrees counterclockwise around point GRotate AEFD 180 degrees clockwise around point G.

What does it mean to rotate shape 180°?

To rotate a form 180°, turn it about its center point such that it faces the opposite way. This is accomplished by tracing the form on a sheet of paper and then folding it in half so that the two sides of the shape line up. The form is now rotated 180 degrees.

A rigid transformation (also known as a Euclidean transformation or Euclidean isometry) in mathematics is a geometric transformation of a Euclidean space that retains the Euclidean distance between each pair of points.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

See attached image.

Write the polynomial as the product of linear factors and list all the zeros of the function:

f(x) = x^4 - 16

Answers

[tex]a^2-b^2=(a-b)(a+b)[/tex]

Therefore

[tex]f(x)=x^4-16\\f(x)=(x^2-4)(x^2+4)\\f(x)=(x-2)(x+2)(x^2+4)[/tex]

[tex](x-2)(x+2)(x^2+4)=0\\x=2 \vee x=-2[/tex]

Use the law of cosines to find one angle and the law of sines to find a second angle. Then use either rule or other rules from geometry to calculate the third angle. Angles may be calculated in radians or degrees. All sides are 7.5 inches.

Answers

The value of all three angles, A , B and C is 60°

Using the cosine Rule :

All sides , a,b, and c are 7.5 inches

From Cosine Rule :

CosA = (b² + c² - a²)/(2bc)

CosA = (7.5² + 7.5² - 7.5²)/(2 × 7.5 × 7.5)

CosA = 56.25/112.5

CosA = 0.5

A =

[tex] {cos}^{ - 1} (0.5) = 60[/tex]

Using Sine Rule

From Sine Rule a/sinA = b/sinB

7.5/Sin60° = 7.5/SinB

cross multiply

7.5SinB = 7.5(Sin60°)

sinB= 6.495/7.5

SinB = 0.866

B =

[tex] {sin}^{ - 1} (0.866) = 60[/tex]

Using the Sum of Triangle Rule

A + B + C = 180

60 + 60 + C = 180

C = 180 - 120

C = 60°

Therefore , all three angles A,B and C are 60° each.

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[tex]x-\frac{1}{2} =\sqrt\frac{1}{4} x[/tex]

Answers

The value of the expression is 1.

Given is an expression we need to solve it,

x - 1/2 = √1/4 x

x - 1/2 = 1/2 x

x - 1/2 x = 1/2

1/2 x = 1/2

x = 1

Hence the value of the expression is 1.

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What is one over two to the fifth power?

Answers

Answer:0.03125

Step-by-step explanation:

GOO*OOGLE

Step-by-step explanation:

(1/2)^5   = 1/2 * 1/2 * 1/2 * 1/2 * 1/2 =   1/32

Find the average value of f(x)=……..

Answers

The average value of the function over the interval is 0

Finding the average value of the function

From the question, we have the following parameters that can be used in our computation:

f(x) = √(49 - x²)

The interval is given as

From x = 0 to x = 7

The function is a square root function

Calculating f(0) and f(7), we have

f(0) = √(49 - 0²) = 7

f(7) = √(49 - 7²) = 0

Next, we have

Average value = (7 * 0 + 0 * 7)/(0 + 7)

Evaluate

Average value = 0

Hence, the average value is 0

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HELP IMAGE ATTACHED ANSWER FAST!! 6) Match the equations to the lines below:

Answers

Answer:

Step-by-step explanation:

In order from top to bottom:

3

2

1

4

75% of what number is 18?

Answers

Answer: So the number is 24.

Step-by-step explanation:

Area and perimeter of a circle with a 13 ft radius

Answers

Answer:

Step-by-step explanation:

area of a circle = πr²

perimeter of a circle = 2πr

all we have to do is substitute the value into the formula:

area of this circle = 22/7 × 13² =  531.14 ..

perimeter of this circle = 2 × 22/7 × 13 = 81.71 ..

hope this helps!

Is the data set approximately periodic?
If so, what are its period and amplitude?
Hour
Number of cars
1 2 3
4
5
6
7 8 9 10 11 12
52 76 90 75 91 104 89 105 119 103 121 135

Answers

The data set is approximately periodic with a period of 3 and an amplitude of about 7.5.

How to explain the value

The period is the length of time it takes for the data to repeat itself. In this case, the data repeats itself every 3 hours. The amplitude is the distance between the highest and lowest values in the data set. In this case, the amplitude is about 7.5 cars.

Hour | Number of cars

------- | --------

1     | 90

2     | 52

3     | 76

4     | 75

5     | 91

6     | 104

7     | 89

8     | 105

9     | 119

10    | 103

11    | 121

12    | 135

As you can see, the data repeats itself every 3 hours. The highest value in the data set is 135 cars, and the lowest value is 52 cars. The difference between these two values is 83 cars, which is about 7.5 times the average number of cars (90 cars). Therefore, the amplitude of the data set is about 7.5 cars.

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Is the following a statistical question?
How expensive are homes in your neighborhood?
yes
No

Answers

Answer:

YES

Step-by-step explanation:

A statistical question is a question that can be answered by collecting data that vary. For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question.

What types of angles are angle 4 and angle 6 ?

Answers

Answer:

same side interior

Step-by-step explanation:

they are on the SAME SIDE as the transversal (diagonal line) which means that they can't be alternate. also, they are inside (interior) of the two horizantal parallel lines. this means that they must be same side interior

If you roll a die, what is the probability of not
rolling a 4? Write your answer as a fraction.

Answers

Step-by-step explanation:

NOT rolling a four means out of six posssible rols you can roll a 1.2.3.5 or 6

 or      5 / 6

The volume of a right cone is 2325

π units
3
3
. If its radius measures 15 units, find its height.

Answers

The height of the cone in this problem is given as follows:

h = 16.4 units.

How to obtain the volume?

The volume of a cone of radius r and height h is given by the equation presented as follows:

V = πr²h/3.

The parameters for this problem are given as follows:

V = 2325 π, r = 15.

Hence the height is obtained as follows:

2325 = π x 15² x h/3

h = 2325 x 5/(15² x π)

h = 16.4 units.

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100 Points! Algebra question. Sketch the angle. Then find its reference angle. Show your calculations. Photo attached. Thank you!

Answers

Answer:reference angle shoudl be 156 degrees srry if im wrong :)

Step-by-step explanation:

A blood bank needs 8 people to help with a blood drive. 19 people have volunteered. Find how many different groups of 8 can be formed from the 19 volunteers.

Answers

75,582 different groups of 8 can be formed from the 19 volunteers.

In this case, we want to calculate C(19, 8), which represents the number of ways to choose 8 volunteers from a set of 19 volunteers.

The formula for combinations is given by:

C(n, r) = n! / (r!(n-r)!)

Using this formula,

C(19, 8) = 19! / (8!(19-8)!)

C(19, 8) = 19! / (8!11!)

C( 19, 8) = 19 x 18 x 17 x 16 x 15 x 14 x 13 x 12 / 8 x7 x6 x 5x 4 x 3 x 2

C( 19, 8) = 75,582

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PLEASE SOLVE. I MARK YOU BRaINALIST

Answers

The force of gravity on the rocket is 30 N/kg, the mass of the rocket stays constant while its weight varies

What is force of gravity?

The force of gravity is the force exerted on an object by the earth or a planet.

Given that the force of gravity on an object when it is launched is 30 N/kg. This is three times larger than Earth's gravity. To determine what happens to the mass and weight of the object when gravity is 30 N/kg, we proceed as follows.

We know that weight, W = mg where

m = mass of object and g = gravity

Since gravity g = 30 N/kg, we have that

W = mg

= m × 30 N/kg

= 30m

Now, we know that mass is an intrinsic property and weight is an extrinsic property. This means that the mass of the object is constant but its weight can change based on the object's position and depends on the amount of mass.

So, since the force of gravity on the rocket is 30 N/kg, the mass of the rocket stays constant while its weight varies

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I need help with this as well please same thing

Answers

The length of the variable are as follows;

x = 27.4 units

y = 12.7 units

How to find the variables in the tangent, secant and chord?

When two secants intersect outside a circle, the circle divides the secants into segments that are proportional with each other.

Therefore,

5(x + 5) = 6(21 + 6)

5x + 25 = 126 + 36

5x + 25 = 162

5x = 162 - 25

5x = 137

x = 137 / 5

x = 27.4 units

Let's find variable y as follows;

If a secant and a tangent are drawn to a circle from the same external point, the product of the length of the secant and its external segment equals the square of the tangent segment.

Therefore,

y² = (21 + 6)6

y² = 27 × 6

y² = 162

y = √162

y = 12.7279220614

y = 12.7 units

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The population of a city after t years is given by P(t)=36,442e0.042t,
where t=0
corresponds to the current year.
How many years from the current year will it take for the population of the city to reach 75,000
?
Round to the nearest hundredth of a year.

Answers

Answer:

[tex]36442 {e}^{.042t} = 75000[/tex]

[tex]t = 17.18 \: years[/tex]

Find the surface area of a cylinder with a height of 9 ft and diameter of 4

Answers

Answer:50.2654812288

Step-by-step explanation:

The two circles :

Sa  = πr²

     = π x 2²

     = 12.5663706144

     = 12.5663706144 x 2

     = 25.1327412288

The rectangle :

C x h = 2πr

= 25.13274

= 25.13274 + 25.1327412288

= 50.2654812288

Step-by-step explanation:

50.2654858683848

because it is equivalent to this. Also I can tutor you

Please help mee...

Please help make a pie chart from this data,,, It really really really helpful for me...please!!!! I'll give you Brainliest...

Btw I'm from Indonesia

If you answer incorrect,, and just play me I'll block and report you!​

Answers

The pie chart for the data is given below.

To create a pie chart from the given data, we first need to determine the percentage of each score in relation to the total frequency. Here's the calculation:

Score                    Frequency                        Percentage

60                           2 (2/24) x 100                    = 8.33%

63                            2 (2/24) x 100                     = 8.33%

65                            1 (1/24) x 100                     = 4.17%

67                            1 (1/24) x 100                     = 4.17%

71                            1 (1/24) x 100                     = 4.17%

72                            1 (1/24) x 100                     = 4.17%

73                            2 (2/24) x 100                     = 8.33%

74                            2 (2/24) x 100                     = 8.33%

75                            2 (2/24) x 100                     = 8.33%

76                            1 (1/24) x 100                     = 4.17%

78                            1 (1/24) x 100                     = 4.17%

79                            2 (2/24) x 100                     = 8.33%

80                            1 (1/24) x 100                     = 4.17%

81                            2 (2/24) x 100                     = 8.33%

82                            1 (1/24) x 100                     = 4.17%

84                            1 (1/24) x 100                     = 4.17%

85                            1 (1/24) x 100                     = 4.17%

87                            1 (1/24) x 100                     = 4.17%

88                            1 (1/24) x 100                     = 4.17%

89                            1 (1/24) x 100                     = 4.17%

90                            1 (1/24) x 100                     = 4.17%

92                            1 (1/24) x 100                     = 4.17%

94                            1 (1/24) x 100                     = 4.17%

Now, we can use this information to create a pie chart. The chart will have 24 segments, each representing one score. The size of each segment will correspond to the percentage calculated above.

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Here are the first five terms of a number sequence. 23 20 17 14 11 (a) Write down the 8th term of this sequence. *********​

Answers

The 8th term of the sequence is 2.

To find the 8th term of the given number sequence, we can observe that the sequence is decreasing by 3 with each term.

Starting from the first term, which is 23, we subtract 3 repeatedly to get the subsequent terms:

23 - 3 = 20

20 - 3 = 17

17 - 3 = 14

14 - 3 = 11

We can see that each term is obtained by subtracting 3 from the previous term.

To find the 8th term, we continue this pattern:

11 - 3 = 8

8 - 3 = 5

5 - 3 = 2

Therefore, the 8th term of the sequence is 2.

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Y=x-5
x+y=-1
What is the solution to the system of equations

Answers

Answer:

x = 2

y = -3

Step-by-step explanation:

y = x - 5

x + y = -1

To solve the given system of equations, we can use the method of substitution.

That is, you can replace y with ( x - 5 ).

x + y = -1

x + (x - 5 ) = -1

x + x - 5 = -1

Combine like terms.

2x - 5 = - 1

Add 5 to both sides.

2x = - 1 + 5

2x = 4

Divide both sides by 2.

x = 2

And now let us find the value of y by replacing x with 2.

y = x - 5

y = 2 - 5

y = -3

9. Jack recorded the number of different colored marbles he has in a pouch. The results are provided in the table below. Color blue 5 brown 4 green. 3 orange 5 red 4 yellow 4 Part B. Jack has another jar of 275 marbles that have the same distribution as the table above. Based on the information in the table, determine the number of yellow marbles​

Answers

Based on the information provided in the table, Jack has 4h yellow marbles.

To determine the number of yellow marbles in the jar of 275 marbles, we can use the information from the table to find the proportion of yellow marbles in the first pouch.

According to the table, there are 4 yellow marbles out of a total of 25 marbles in the first pouch.

Therefore, the proportion of yellow marbles in the first pouch is 4/25.

To find the number of yellow marbles in the jar of 275 marbles, we can multiply this proportion by the total number of marbles in the jar.

Number of yellow marbles = (4/25) x 275 = 44

Therefore, there are 44 yellow marbles in the jar of 275 marbles.

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Consider the equation below. (If an answer does not exist, enter DNE.)
f(x) = x3 − 3x2 − 9x + 3

Answers

The interval on which f(x) is increasing is (-∞, -1) and (3, ∞).

To find the interval on which the function f(x) = x³ - x² - 9x + 3 is increasing, we need to determine where the derivative of the function is positive.

First, let's find the derivative of f(x):

f'(x) = 3x² - 6x - 9

3x² - 6x - 9 = 0

3(x - 3)(x + 1) = 0

x - 3 = 0 or x + 1 = 0

x = 3 or x = -1

These are the critical points of the function.

Let's test a value from each interval:

For x < -1, let's use x = -2:

f'(-2) = 3(-2)² - 6(-2) - 9 = 12 + 12 - 9 = 15 > 0

For -1 < x < 3, let's use x = 0:

f'(0) = 3(0)² - 6(0) - 9 = -9 < 0

For x > 3, let's use x = 4:

f'(4) = 3(4)² - 6(4) - 9 = 12 - 24 - 9 = -21 < 0

From these test values, we can see that f(x) is increasing on the interval (-∞, -1) and (3, ∞).

Therefore, the interval on which f(x) is increasing is (-∞, -1) and (3, ∞).

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figure A is a dilated from point E the center of dilation which figure is a dilation of figure A

Answers

A figure that is a dilation of figure A include the following: B. figure C.

What is a dilation?

In Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.

This ultimately implies that, the dimension (size) or side lengths of the dilated geometric object would be stretched or shrunk depending on the scale factor that is applied.

In this context, we can reasonably infer and logically deduce that both figure A and figure C are congruent to figure E because they all share a common center of dilation.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

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