A dilation with center O and scale factor r takes A to A' and B to B'. a) Explain how to find the center O b) If AB=6 mm and A'B'= 15mm, calculate the scale factor r. c) Apply the Dilation theorem

Answers

Answer 1

Answer:

A.) Extending the line of multiple of scale factor r on two corresponding vertex

B.) Scale factor r = 2.5

C.) A'B'/AB = 5/2

Step-by-step explanation:

A.) To find the centre O, take a corresponding vertex of the two shapes. Draw a line passing through the the vertex and extending beyond the initial one. The length of the line must be multiplied by the scale factor r

The center of a dilation is a fixed point in the plane in which all points are expanded or contracted.

B.)  If AB=6 mm and A'B'= 15mm,

The scale factor r = 15/6 = 5/2 = 2.5

C.) A'B'/AB = 5/2


Related Questions

I bought a box from the post office that has a volume of 24 cubic centimeters,
Which of the following could be the dimensions of my box?
A. 8cm long, 1cm wide, 3cm high
B.10cm long, 4cm wide, 10cm high
C. 2cm long, 2cm wide, 6cm high

Answers

Answer:

A) Is the answer

Step-by-step explanation:

vol.=LxBxH

8x1x3=24

The dimensions that could be the box with a volume of 24 cubic centimeters are:

8cm long, 1cm wide, 3cm high

2cm long, 2cm wide, 6cm high

Options A and C are the correct answer.

We have,

To determine if the given dimensions could represent the box with a volume of 24 cubic centimeters, calculate the volume for each option and check if it matches the given volume.

Let's calculate the volume for each option:

Option A:

Length = 8 cm, Width = 1 cm, Height = 3 cm

Volume = Length × Width × Height

Volume = 8 cm × 1 cm × 3 cm

Volume = 24 cubic cm

Option A could be the dimensions of the box

Option B:

Length = 10 cm, Width = 4 cm, Height = 10 cm

Volume = Length × Width × Height

Volume = 10 cm × 4 cm × 10 cm

Volume = 400 cubic cm

Option B does not have a volume of 24 cubic cm.

Option C:

Length = 2 cm, Width = 2 cm, Height = 6 cm

Volume = Length × Width × Height

Volume = 2 cm × 2 cm × 6 cm

Volume = 24 cubic cm

Option C could be the dimensions of the box.

Therefore,

The dimensions of the box with a volume of 24 cubic centimeters are:

8cm long, 1cm wide, 3cm high

2cm long, 2cm wide, 6cm high

Learn more about volume of box here:

https://brainly.com/question/32714484

#SPJ4

PLS HELP !! ILL GIVE BRAINIEST

Answers

Answer: first one is a the second one is b

Step-by-step explanation:

the bottom is the total amount and the top should relate to the bottom

Find the area of the trapezoid by decomposing it into other shapes.
A) 48 cm2
B) 55 cm2
C) 66 cm2
D) 96 cm2

Answers

Answer:

B

Step-by-step explanation:

What is the surface area of a cylinder with base radius 4 and height 7?
Either enter an exact answer in terms of TT or use 3.14 for it and enter your answer as a decimal.
7
Help me plese

Answers

Answer: The surface area of the cylinder is ≈276.46

Which is an x-intercept of the graphed function?
O(0, 4)
0 (-1.0)
Q (40)
(0,-1)

Answers

Answer:

can show me the graph plz

Step-by-step explanation:

Hey, I need some help with this:
Give an example of what an inverse operation is and how they are used in solving equations

Answers

An inverse operation is writing the opposite sign to another sign

Inverse operations are an operation that undoes each other. For example, addition and subtraction, multiplication and division, squares and square roots.

For example, we have the equation:

2 + 2 = 4

The inverse of this equation is:

4 - 2 = 2

Best of Luck!

Please help, need an answer ASAP

Answers

Answer:

I think your answer is correct

Which of the following is equivalent to the complex number i8?
Choose 1 answer:
mi
1
-1
pl
Stuck? Watch a video or use a hint.
Report a problem

Answers

Answer:

1

Step-by-step explanation:

note that i² = - 1

Thus

[tex]i^{8}[/tex]

= i² × i² × i² × i²

= - 1 × - 1 × - 1 × - 1

= 1 × 1

= 1

The value of complex number is 1. Therefore, the option B is the correct answer.

What is the complex number?

A complex number is the sum of a real number and an imaginary number. A complex number is of the form a + ib and is usually represented by z.

The given complex number is i⁸.

We know that, i²=-1

Now, i⁸ can be written as i²×i²×i²×i²

= -1×(-1)×(-1)×(-1)

= 1

Therefore, the option B is the correct answer.

To learn more about the complex numbers visit:

https://brainly.com/question/10251853.

#SPJ2

What is the mean absolute deviation of 24,30,36,42,48,54

Answers

39.
Add all the numbers together, and divide by how many numbers there are!

Simplify 17 1/2 - (-9 3/8)
ASAP please extra poonts

Answers

Answer:

I believe the answer is 26 7/8

Step-by-step explanation:

Answer:

26 7/8

Step-by-step explanation:

17 1/2 - (-9 3/8)

Get a common denominator of 8

17 1/2*4/4 - -9 3/8

17 4/8  - -9 3/8

We know that subtracting a negative is adding

17 4/8 + 9 3/8

Add the whole numbers

17+9 = 26

Add the fractions

4/8+3/8 = 7/8

26 7/8

PLEASE HURRY!!IM BEING TIMED!WILL NAME BRAINLIEST!!
The table and graph show that each cracker in a package has 7 calories.
Crackers and Calories
crackers(X) calories(Y)
1 7
2 14
3 21
4 28
Which statement about the graph is true?
A.)The number of crackers is the dependent variable, and the number of calories is the independent variable.
B.)The point (42, 6) is on the line.
C.)The number of crackers are graphed on the y-axis, and calories are graphed on the x-axis.
D.)The two variables are the number of crackers and the number of calories.
(Picture not option!just a graph!)

Answers

Answer:

D.)The two variables are the number of crackers and the number of calories.

Step-by-step explanation:

The number of crackers is the independent variable, and the number of calories is the dependent variable.

The point (6, 42) is on the line

The number of crackers are graphed on the x-axis, and calories are graphed on the y-axis.

Help me please. Im giving 20 points
Brenda is playing hide-and-seek with Cody and Lara. Cody is hiding 16 meters
south of Brenda, and Lara is hiding due east of Cody. If Brenda is 20 meters from
Lara, how far apart are Cody and Lara?

Answers

Answer:

36 meters away

Step-by-step explanation:

If you look at the equation you'll see that Cody is 16 meters away from Brenda and Lara is 20 meters away from Brenda, so if you add those two, you'll get the answer. :)

Answer:

i think they are 36 meters apart

Step-by-step explanation:

16 + 20 = 36

so they are 36 meters away from each other

and you could check your answer by doing 36 - 20 = 16 or 36 - 16 = 20

Hope this helpsRate meBrainliest plz

What is the length of AB?

Answers

The answer is 10
Because that’s how far away it is from B

Answer:AB =10

Step-by-step explanation:

order the set numbers from least to greatest

Answers

Step-by-step explanation:

the answer is the last option

A cylinder has a volume of 100 (pi) cubic cm. It has a height of 4 cm. What is the length of its diameter?​

Answers

Answer:

5.64

Step-by-step explanation:

v=pi(r)2h

hope this helps

True or false the focal length F is the directed distance from the vertex (h, k), to the focus of the parabola

Answers

Answer:

true

Step-by-step explanation:

A proportional relationship is shown in the table below: x 0 3 6 9 12 y 0 0.5 1.0 1.5 2.0 What is the slope of the line that represents this relationship? \qquad Graph the line that represents this relationship.

Answers

Answer:

Take two point from the table, doesn't matter which ones, because this is linear. I will choose (0,0) and (3,.5).

Now follow the equation for slope: m = change in y / change in x.

[tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{.5-0}{3-0}[/tex]

[tex]\frac{.5}{3}[/tex]

[tex]\frac{1}{6}[/tex]

The slope is 1/6. m=1/6

Its y-intercept is at 0. b=0

So the equation is y = 1/6x. The graph is attached.

What is the length of the missing leg

Answers

Answer:

12

Step-by-step explanation:

Using the pythagorean theorem, we know that a^2+ b^2=c^2

In our case, we know b, which is 5 and c which is 13.

If we plug that into the equation, we get a^2+ 5^2 = 13^2

Next, we simplify the equation. a^2 + 25 = 169

Then we subtract 25 from 169. 169 - 25 = 144.

Lastly, we do the square root of 144 and we get 12 which is the missing side.

Answer: 12 miles

Step-by-step explanation:

Use Pythagorean Theorem to find the missing side.

a^2 + 5^2 = 13^2

a^2 + 25 = 169

subtract 25 from both sides

a^2 = 144

take the square root of both sides

a = 12

Which choice is equivalent to the quotient shown here for acceptable values of x?

Answers

Answer:

(D)

Step-by-step explanation:

Equivalent expressions are expressions that have equal values

The equivalent expression of [tex]\sqrt{8x^2 } \div \sqrt{3x}[/tex] is [tex]\sqrt{\frac{8x}{3}}[/tex]

The expression is given as:

[tex]\sqrt{8x^2 } \div \sqrt{3x}[/tex]

Represent the expression as a quotient

[tex]\sqrt{8x^2 } \div \sqrt{3x} = \sqrt{\frac{8x^2}{3x}}[/tex]

Evaluate the quotient

[tex]\sqrt{8x^2 } \div \sqrt{3x} = \sqrt{\frac{8x}{3}}[/tex]

Hence, the equivalent expression of [tex]\sqrt{8x^2 } \div \sqrt{3x}[/tex] is [tex]\sqrt{\frac{8x}{3}}[/tex]

Read more about equivalent expressions at:

https://brainly.com/question/2972832

Which statement is correct using "is equal to" (=)?

Answers

Answer:

B) 6 boxes of 9 pineapples = a total of 54 pineapples.

Step-by-step explanation:

We have to multiply the number of pineapples by the number of boxes the options give.

A is not the correct answer.

[tex]4 * 8 = 36\\32\neq 36[/tex]

B is correct.

[tex]6 * 9 = 54\\54 = 54[/tex]

C is incorrect.

[tex]12 * 8 = 120\\96 \neq 120[/tex]

D is incorrect.

[tex]16 * 5 =90\\80\neq 90[/tex]

Your best option is B.

Brainilest Appreciated.

can someone help with this please,, also explain if you can..

Answers

Answer:

story 1

Step-by-step explanation:

because it says 2 higher than -2 so -2+2 is 0

WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!















The cost for a business trip for 3 people is $1,975 per person. The business trip would use 79%
of the company’s travel budget. Find the total amount of money the company has budgeted for
travel. pls show work :)

Answers

Answer:

7500

Step-by-step explanation:

3*1975=5925

5925/.79=$7500

Answer:

5175

Step-by-step explanation:

1975*3=5925

5925/79%=7500 (Take one zero off)

750

5925-750=5175

The Company will pay 5175 in total. But 1725 per each person going.

Sarkis wants to draw a triangle with sides measuring 4 ft, 10 ft, and 16 ft. Which is true about Sarkis’s plan?

Answers

Answer: Sarkis cannot draw a triangle with these side lengths.

Step-by-step explanation: The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the other side.

The two smallest sides are 4 and 10; their sum is 14.  This is shorter than the longest side, so these will not make a triangle.

Answer:

a

Step-by-step explanation:

what is 10 1/3 x 1/4? that is, what is ten and one third times one fourth?

Answers

Answer: 31/12, or 2 7/12

Step-by-step explanation: The answer is actually very simple. All you have to do is to simplify 10 1/3 into 31/3, as 10x3+1=31. Then, you have to multiply 31/3 with 1/4. Do a simple fraction multiplication, and you get 31/12, or 2 7/12 if your teacher is asking for a mixed number. Sometimes simplifying is better

Which expression is equivalent to 5x + 5y − 2z? Which property justifies the expressions being equivalent?
A) 5(x + y) − 2z; distributive property
B) 5(x + y − 2z); distributive property
C) 8xyz; subtraction property
D) 10xy − 2z: associative property

Answers

Answer:

5(x + y) − 2z; Distributive Property

Step-by-step explanation:

The coefficient for both 5x and 5y is 5; therefore, use the distributive property to rewrite the sum as 5(x + y).

Answer:

A) -4z^3+4z^2+6z+35

Step-by-step explanation:

help me plz now i would like it and vote for it if right ​

Answers

Answer:

4

Step-by-step explanation:

2^4 - (2^3 +2^2)

Exponents

16 - (8+4)

Parentheses

16 - (12)

Subtract

4

A. 4
each exponent simplified leads to the equation 16-12. so, 4

10:09 + 08:45 + 0946 + 09:55 =

Answers

Answer:

27  :  1000  :  55

Step 1:

Add the expresisons.

The point (-1,10) lies in which quadrant

Answers

Answer:

the second quadrant.

Step-by-step explanation:

Answer:

Look up a grid and find out. If you don’t know how to number them search that up too and tell you teacher he or she or they are failing you

Step-by-step explanation:

Ahah lol

Consider two unique parallel lines. What aspects of
these two lines are the same? What aspects of these two
lines would have to be different? Explain your reasoning
Done
Intro
00
231 PM
5/28/2020
ly
ELE

Answers

Answer:

Step-by-step explanation:

Two parallel lines will have the same slope. The slopes of parallel lines have to be equal. The y-intercepts of those two lines have to be different, otherwise they would be the same line. The x-intercepts of the parallel lines would also be different.

Givin away points if ur a begginer

Answers

Answer:

Cause I will any ways

Step-by-step explanation:

Answer:

answer

Step-by-step explanation:

thats it?

Other Questions
Which statement best describes the function represented by the graph? A point has a position vector given by [tex]r(t)=(2t,t^2)[/tex] for all time t 0 seconds. Find the speed of the object at t = 1 seconds.842[tex]2\sqrt{2}[/tex] Please help, thank you. Seth's mother brought home 3/4 of a chocolate cake and 1/2 of a vanilla cake that was left from a party at her work. Seth ate 1/3 of the chocolate cake that was left. How much of the whole chocolate cake did he eat? PLEASE ANSWER ASAP WILL GIVE BRAINLIEST 1. What makes King's "Letter from Birmingham Jail" powerful and effective? After reading King's letter, answer the question by analyzing how he uses structure and language purposefully in his text. Provide specific examples from the text to support your analysis. 2.Is your thesis statement one sentence? Does it answer the question?Does it use specific words? Does it take a stand? Could someone have a different interpretation? Does it answer Why does this matter? or So what?3. Based on the checklist above, revise your thesis statement so that it has all of the above qualities and include it here. Given a triangle with side lengths 4.1 and 1.3, what is the range of possible sizes for x The approximate length of side XY is units. The approximate length of side YZ is units. The approximate length of side ZX is units. The approximate perimeter of triangle XYZ is units. Factor the perfect square trinomial 25x^2-60x+36 How was American society impacted after World War II? A man has 1/4 of a kilogram of couscous. He shared them equally among 2 people. How many kilograms does each person get? Input your answer as a fraction of a kilogram.I got an answer that felt way off... I just need to make sure I'm right! The cartilage on the ends of long bones serves which of the following functions? * What is 3 to the power of three halves equal to? In 2008, data from the Center for Disease Control revealed that 28.5% of all male teenagers, aged 18-19 and attending U.S. colleges were overweight. The definition of overweight is a body mass index (BMI) of over 25. In 2019, a professor in public health at a major university wanted to determine whether that proportion had decreased since 2008. So, he sampled 800 randomly selected incoming male freshman at universities around the country. Using the BMI measurements, he found that 210 of them were overweight. Test the professors claim at an = 0.05 level of significance, the proportion of obese male teenagers in American colleges decreased. Make sure that any necessary assumptions for conducting the hypothesis test are satisfied. A) State the null and alternative hypothesis. H0: Ha: B) Determine the critical value(s) for the test. C) Compute the test statistic (show your work). D) Make your decision.E) State your conclusion in terms of the professors claim. Write a number b increased by 3 as an expression. Which of the following is not a layer of hair?Group of answer choicesCuticleRootAll the above are layers of hairCortexMedulla Please help and show work and steps The 12/31/2018 balance sheet of Despot Inc. included the following: Common stock, 25 million shares at $20 par $ 500 million Paid-in capitalexcess of par 3,000 million Retained earnings 980 million In January 2018, Despot recorded a transaction with this journal entry: Cash 150 million Common stock 100 million Paid-in capitalexcess of par 50 million In February 2018, Despot declared cash dividends of $12 million to be paid in April of that year. What effect did the April transaction have on Despot's accounts? Decreased assets and liabilities. Increased liabilities and decreased shareholders' equity. Decreased assets and shareholders' equity. None of these answer choices are correct Please help asap! Will give brainliest! Please read the question then answer correctly! No guessing. Starting at 1:00 p.M., The temperature changes -4 degrees Fahrenheit per hour. Write and solve an equation to find how many hours (x) it will take to reach -1 F. Read the following quote... When you fall like a statue.What type of firgurative language is this and what does it mean?