If triangle ABC is defined by the coordinates A(-4,-4), B(2,-2), C(0,4) is dilated by a scale factor of 1/2, with resulting vertex A’ at (-2,-2). What is the center of the dilation?
A. (0,0)
B. (0,2)
C. (0,4)
D. (-4,-4)

Answers

Answer 1

A

Step-by-step explanation:

the origin, (0, 0)

For center of dilation Q, the image of a point A after dilation by a factor of k is ...   A' = kA + (k-1)Q Then for points A, A', and dilation factor k, the center of dilation can be found to be ...   (A' -kA)/(k-1) = Q

Here, that is ...   Q = ((-2, -2) -(1/2)(-4, -4))/(1/2 -1) = (0, 0)/(-1/2)  

Q = (0, 0) 


Related Questions

PLS HELP NO LINKS
A cardboard box has the dimensions 2 ft, 1.5 ft, and 1.2 ft. What is the volume of the box?
A. 3.2 ft
B. 3.6 ft
C. 4.7 ft
D. 14.4ft​

Answers

Answer:

3.6 cubic feet

Step-by-step explanation:

The volume of the box is simply the product of the 3 sides. so [tex]2ft \times 1.5ft \times 1.2 ft = 3.6 ft^3[/tex]

WILL GIVE BRAINLIEST

Answers

Answer:

it is d

Step-by-step explanation:

Which of the following equations represent a proportional
relationship?
Select two answers

Answers

Answer:

A it should be if not sorry :(  

Good Luck :)

Step-by-step explanation:

according to Ms. Duckett, what is important to remember about finances?

Answers

Answer:

Being financially literate helps a person to distinguish between financial decisions that will be beneficial, and that will be detrimental to their financial future. Having a plan for your finances will help you meet your short and long-term needs, without going beyond your income

Step-by-step explanation:

Ppbags where here

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4735
The length of a rectangle is twice its width.
The perimeter of the rectangle is 41 cm.
Label the diagram with the correct length and width for the rectangle.
cm
cm

Answers

Answer:

Width=6 5/6cm and Length=13 2/3cm

Step-by-step explanation:

Lets have width=x

Therefore, 4x+2x=41cm

6x=41cm

x=41/6=6 5/6

the width is 6 5/6 cm and length 41/3=13 2/3

135% as a fraction or a mixed number fully simplified please

Answers

Answer:

135% = 27/20 = 17/20 as a fraction

Step-by-step explanation:

Step 1: Write down the percent divided by 100 like this:

135% = 135/100

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As 135 is an integer, we don't have numbers after the decimal point. So, we just go to step 3.

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(135,100) = 5. So,

(135÷5)/(100÷5) = 27/20 when reduced to the simplest form.

As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 135/100 is also equal to 1 7/20 when expressed as a mixed number.

Plz help I need help

Answers

X < 6

14 - 2, because of the +2, get 12
Divide 12 by 2, because of 2x, get 6
You would then get x<6
Hope this helps!

Apply the zero product property to solve the equation below:
x (x + 2) = 0

Answers

Answer:

0(-2+2)=0

Step-by-step explanation:

x=0

x=-2

0(-2+2)=0

Help me pleaseeeee?????

Answers

Answer:

The data covers 58 to 86 = 28 for the total distance

Each quartile will occupy a difference of 28/4 = 7

58 - 65 = first quartile (or lower quartile)

65 - 72 = second quartile

72 - 79 = third quartile

79 - 86 = fourth quartile (or upper quartile)

Notice that the first quartile ends at 65 and the second quartile starts at 65

If you divide a straight line accordingly there must not be an empty space between the first and second quartile to be all inclusive

The median is the middle point or 58 + 14 = 72

14 points lie in the range of 58 to 72 and

14 points lie in the range of 72 to 86


Malik needed to get his computer fixed. He took it to the repair store. The technician
at the store worked on the computer for 2.5 hours and charged him $73 for parts. The
total was $235.50. Write and solve an equation which can be used to determine x, the
cost of the labor per hour.

Answers

Answer:

2.5x+73=235.5

2.5x=162.5

x=65

ANSWER NUMBER 500 L GOOOOOOOO!!!!!!!!!!!!!!!!!

Hope This Helps!!!

The equation will be 2.5x+73=235.5 and the value of x will be 65.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Malik needed to get his computer fixed. He took it to the repair store. The technician at the store worked on the computer for 2.5 hours and charged him $73 for parts. The total was $235.50.

The equation can be written as below:-

2.5x+73=235.5

2.5x=162.5

x=65

Therefore, the equation will be 2.5x+73=235.5 and the value of x will be 65.

To know more about an expression follow

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find the area enclosed by the figure

Answers

Answer:

2677 mi^2

Step-by-step explanation:

Think the shape as an complete rectangle :

The area of the rectangle is calcluated by multiplying height*width

(24+12+19)*55 = 3025 mi^2 now subtract the area of the missing part using same area calculation method:

12*29 = 348 mi^2 the area of the figure:

3025 - 348 = 2677 mi^2

if the poins A(-6,-5),B(-3,-2) and C(3,k) is on the same straight line, find the value of k.

Answers

Answer:

4

Step-by-step explanation:

y = x + 1

yeah-ya.... right?

Answer:

4 is the answer i believe

Step-by-step explanation:

C skips 2 dots, Hope this helps:)

I will give brainliest

Answers

14 x 3 = 42
6 x -1 = –6

42 - 6 = 36

Answer:

Its D. 36

Step-by-step explanation:

A student received scores of 85 and 78 on the first two exams. All exams have a maximum score of 100. What are the possible scores the student could receive on the third exam so that the average of the three exams is at least 80Write your answer in interval notation

Answers

Based on the information given, the student should score at least 77 in the last exam.

Since the student wants to get an average of at least 80. Therefore, the total scores should be:

= 80 × 3 = 240

The student received scores of 85 and 78 on the first two exams. The addition of this will be:

= 85 + 78 = 163

Therefore, his score in the last exam should be:

= 240 - 163

= 77

Learn more about equations on:

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Curtis has a board that is 3/4 of a yard long he cuts it to make shelves that are 1/8 of a yard long how many shelves will there be after he cuts the board ?

Answers

The number of shelves would be 6.

The length of the board and the shelves are fractions. A fraction is made up of a numerator and a denominator. An example of a fraction is 1/8. 1 is the numerator and 8 is the denominator.

In order to determine the number of shelves Curtis cut, we would divide the length of the board by the length of each shelf.

Number of shelves = length of the board / length of the shelf

3/4 ÷ 1/8

3/4 x 8 = 6

To learn more about the division of fractions, please check: https://brainly.com/question/25779356

hi, have a good day!

Answers

Thank.........you......so.........much.....
lol hey thank for the pts

Shown is a pentagon, with the size of
each angle shown. Work out the largest angle.

Answers

Answer:

160°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 5 , then

sum = 180° × 3 = 540°

sum the interior angles and equate to 540

x + 10 + 2x + 10 + x + 10 + 2x+ x + 20 = 540 , that is

7x + 50 = 540 ( subtract 50 from both sides )

7x = 490 ( divide both sides by 7 )

x = 70

Then

largest angle = 2x + 10 = 2(70) + 10 = 140 + 10 = 150°

The solution is  : the largest angle is 150°.

What is the polygon?

A polygon is a two-dimensional geometric figure that has a finite number of sides. The sides of a polygon are made of straight line segments connected to each other end to end. Thus, the line segments of a polygon are called sides or edges.

here, we have,

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 5 , then

sum = 180° × 3 = 540°

sum the interior angles and equate to 540

x + 10 + 2x + 10 + x + 10 + 2x+ x + 20 = 540 , that is

7x + 50 = 540 ( subtract 50 from both sides )

7x = 490 ( divide both sides by 7 )

x = 70

Then

largest angle = 2x + 10

                      = 2(70) + 10

                      = 140 + 10

                      = 150°

Hence, The solution is  : the largest angle is 150°.

To learn more on polygon click:

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in simplest terms: (-5x-7)-(-4x-6)(−5x−7)−(−4x−6)

Answers

Answer:

-20x^2-59x-43

Step-by-step explanation:

Guys I need your help

There are 16 ounces in 1 pound John is mailing a package that weighs 10 pounds he wants to know the weight of the package in 1 ounce complete the statement to describe how to convert pounds to ounces to find weigh in ounces blank the number of pounds by unit rate blank ounces per pound

Answers

Answer:

multiply

16

Step-by-step explanation:

yeah-ya....... right?

PLZ HELP ASAP I NEED A ANSWER!!
Which characteristics did early Japanese, Chinese, and Korean civilizations share?

They were friendly nations that shared culture and customs.
They were nations at war that shared a common religion.
They were neighboring countries that shared a common history.
They were countries with dissimilar culture and customs.

Answers

Answer:

When looking at the feudal system, which is a notable difference between Japanese Samurai and European Knights? Japanese Samurai were not considered part of the higher class. European Knights were not part of the military. Japanese Samurai were highly educated.

Step-by-step explanation:

hey yo how is this math

Use the image to solve for t,

Please and thank you!

Answers

Answer:t = 25.Step-by-step explanation:

Since the two triangles are congruent, we can square the triangle's side to find 't'.

=> 5² = t = 25=> 4² = s = 16=> 3² = 9Conclusion:

Therefore, t equals 25.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

review the proof (not in order) of the identity tan(0/2) = + √1-cos(0)/1+cos(0)
which is the correct sequence of steps

Answers

Answer:

1-3-4-2-5

Step-by-step explanation:

[tex]tan\frac{\theta}{2}[/tex] <== Given

[tex]\frac{sin\frac{\theta}{2}}{cos\frac{\theta}{2}}[/tex] <== Step 1

[tex]\frac{\frac{\sqrt{1-cos\theta}}{2}}{\frac{\sqrt{1+cos\theta}}{2}}[/tex] <== Step 3

[tex]\frac{\sqrt{1-cos\theta}}{\sqrt{1+cos\theta}}[/tex] <== Step 2 (as a result of Step 4)

[tex]\pm\sqrt{\frac{1-cos\theta}{1+cos\theta} }[/tex] <== Step 5

3 poil The ratio of the number of Taylor's CDs to the number of Dave's CDs is 7 to 9. Taylor has 84 CDs. Together how many CD's do they have? ​

Answers

Answer:

192

Step-by-step explanation:

The 7 part of the ratio relates to Taylor's 84 CDs

Divide the amount by 7 to find the value of one part of the ratio.

84 ÷ 7 = 12 ← value of 1 part of the ratio, then

9 parts = 9 × 12 = 108 ← number of CDs Dave has

Total CDs = 84 + 108 = 192

You want to be able to withdraw $30,000 from your account each year for 15 years after you retire. If you expect to retire in 25 years and your account earns 6.4% interest while saving for retirement and 5.6% interest while retired:
Round your answers to the nearest cent as needed.

a) How much will you need to have when you retire?
$ 448,704.35 (correct answer)

b) How much will you need to deposit each month until retirement to achieve your retirement goals?


c) How much did you deposit into you retirement account?


d) How much did you receive in payments during retirement?


e) How much of the money you received was interest?

Answers

Answer:

use calculator

Step-by-step explanation:

I need the answers for this please

Answers

Answer:

A AND B IS TRUE  C IS FALSE

Step-by-step explanation:

PLEASE HELP WILL MARK BRAINIEST!!!!!!!

Answers

Answer:

Option a is the best method with compass and straight edge.

Step-by-step explanation:

What is quadratic spline? ​

Answers

The definition of a quadratic spline is that;

A Quadratic Spline is the creation of a set of polynomial functions that are quadratic and follow the format f(x) = ax² + bx + c.

Quadratic Spline

A Quadratic Spline is simply defined as the creation of a set of polynomial functions that are quadratic, or relatively simple to comprehend and must follow the quadratic function format which is;

f(x) = ax² + bx + c

where;

a, b and c are the values gotten in the process of doing the Splines to create the desired functions.

Read more about quadratic functions at; https://brainly.com/question/1214333

Approximately what portion of the circle is shaded blue?

A. 2/3
B. 2/10 C.2/5

Answers

Answer:

2/5

Step-by-step explanation:

Try to make equal sections. The fraction they are asking for has the shaded number of sections on top (this us called the numerator) and the total number of sections on the bottom (this is called the denominator) see image

The sum of 139 and the product of a number raised to the third power and 17. In symbols, the phrase is written as.

Answers

Answer:

y = 139 + x³ + 17

Step-by-step explanation:

The word "sum" means the amount resulting from addition in an equation. This means that we are adding all of these numbers together.

The word "product" means the amount resulting from multiplication in an equation, this means we need to find the product of a number multiplied by itself three times. Since we don't know what number it is, we can use the variable 'x'.

So, you would be adding 139, the product of x³, and 17, which would be written as y = 139 + x³ + 17.

a storage tank is 60% filled with chemical solution. The storage tank holds 1,280 liters of chemical solution. How many liters of chemical solution are needed to fill the storage tank to the​ top?

Answers

Answer:

Step-by-step explanation:

write a proportion and cross multiply to solve for x

[tex]\frac{60}{100} = \frac{x}{1280}[/tex]

100x=76,800

x=768

60% full is 768 L. If the tank can hold 1,280 Liters, you need 512 more to fill it.

Alternatively...if the tank is 60% full, we need 40% more to fill it

[tex]\frac{40}{100} =\frac{x}{1280}[/tex]

100x=51,200

x=512 L

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