Mathematics High School

A polygon has a perimeter of 18 units. It is dilated with a scale factor of 3/2 what is
the perimeter of its image?

Answers

Answer 1

Answer:

Step-by-step explanation:

Is the correct answer

Answer 2

The perimeter of the polygon after dilation = 27 unit

What is dilation factor?

The scale factor in a mathematical object's dilatation defines how much the picture will grow or shrink in relation to the original thing.

The perimeter of polygon = 18 unit,

Since, the scaling factor is 3/2,

So when the polygon is dilated, the perimeter of the polygon will also multiply with 3/2,

Perimeter of polygon = 18×3/2

= 27 unit

The perimeter of the polygon after dilation = 27 unit

To know more about Dilation factor on:

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Related Questions

if in a parallelogram diagonals bisect each other at right angle and are equal then it is a ___________

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I think this would make all the angles and sides equal, making it a square

I decided to add a room to my house and now need to know the total square feet of the house. The dimensions of the original house are (X + 8) by (x + 12) and the dimensions of the new addition are x by (x + 6). What is the total area of my new house. What's the area of the original house? What's the area of the new addition? What's the total area of the house?

Answers

Answer:

+) the area of the original house is:

(x + 8)(x + 12) = x² + 20x + 96.

+) the area of the new addition is:

(x + 6)x = x² + 6x

+) the total area of the house is:

x² + 20x + 96 + x² + 6x = 2x² + 26x + 96

14. Shawn usually sells umbrellas for $20. On rainy days, he sells them for
30% more. What is the cost on a rainy day of buying a new umbrella? *
$14
$26
O $6
O $30

Answers

Answer:

$26

Step-by-step explanation:

What is the value of x that makes the number sentence true? x + (-5) = -5

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Hope this helps have a nice day

what’s 35 divide by 4?

Answers

Answer:

Step-by-step explanation:

35/4 = 8.75 or 8 3/4

The first person to answer correctly I will give them a brainlies, 5 stars, and a thank you!
Which process in photosynthesis uses energy from the sun?(1 point)

1. splitting water into hydrogen and oxygen

2. combining carbon dioxide and hydrogen

3. absorbing carbon dioxide

4. releasing oxygen

Answers

Answer:

1. splitting water into hydrogen and oxygen

Step-by-step explanation:

Answer:

Photosynthesis takes place in two stages: the light-dependent reactions and the Calvin cycle. In the light-dependent reactions, which take place at the thylakoid membrane, chlorophyll absorbs energy from sunlight and then converts it into chemical energy with the use of water.

Step-by-step explanation:

can u pls go answer my question? Thank you and have a nice day :)

https://brainly.com/question/21589806

HELP ME ASAPPP

Write the standard equation of a circle with center (2, 1) and radius 8.

Answers

Answer:

(

)

the center coordinates of circle

−

Step-by-step explanation:

Determine which function(s) are exponential. Select all that apply.

Answers

Answer:

option B and option C represent an exponential function.

Step-by-step explanation:

We know that following are some of the properties of different functions.

Linear Function:

The constant change in x and y

Quadratic Function:

The constant change in x

The constant 2nd differences in y

Exponential Function:

The constant change in x

The constant ratio in y

Determining the nature of the exponential function

Option A)

x 0 1 2 3 4

y 0 1 4 9 16

Here:

There is a constant change in x:

1 - 0 = 1; 2 - 1 = 1; 3 - 2 = 1; 4 - 3 = 1

BUT, there is NO CONSTANT ratio, as

1/0 = ∞, 4/1 = 4, 9/4 ; 16/9

Thus,

Table A DOES NOT represents an exponential function.

Option B)

x 0 1 2 3 4

y 1/3 1 3 9 27

Here:

There is a constant change in x:

1 - 0 = 1; 2 - 1 = 1; 3 - 2 = 1; 4 - 3 = 1

There is also a constant ratio, as

1/[1/3] = 3, 3/1 = 3, 9/3 = 3; 27/9 = 3

As there is constant change in x as well a constant ratio.

Thus,

Table B REPRESENTS an exponential function.

Option C)

x 0 1 2 3 4

y 5 5/2 5/4 5/8 5/16

Here:

There is a constant change in x:

1 - 0 = 1; 2 - 1 = 1; 3 - 2 = 1; 4 - 3 = 1

There is also a constant ratio, as

[5/2]/5= 1/2,

[5/4]/[5/2] = 1/2

[5/8]/[5/4] = 1/2

[5/16]/[5/8] = 1/2

As there is constant change in x as well a constant ratio.

Thus,

Table C REPRESENTS an exponential function.

Option D)

x 0 1 2 3 4

y 4.5 4 3.5 3 2.5

Here:

There is a constant change in x:

1 - 0 = 1; 2 - 1 = 1; 3 - 2 = 1; 4 - 3 = 1

BUT, there is NO CONSTANT ratio, as

4/4.5 = 4/[45/10] = 40/45 = 8/9

3.5/4 = [35/10]/4 = 35/40 = 7/8

3/3.5 = 3/[35/10] = 30/35 = 6/7

2.5/3 = [25/10]/3 = 25/30 = 5/6

Table D DOES NOT represent an exponential function.

Conclusion:

Therefore, option B and option C represent an exponential function.

The functions that are exponential would be:

B). [tex]x[/tex] 0 1 2 3 4

[tex]y[/tex] 1/3 1 3 9 27

C). [tex]x[/tex] 0 1 2 3 4

[tex]y[/tex] 5 5/2 5/4 5/8 5/16

What are Exponential Functions?

B). Given that,

[tex]x[/tex] 0 1 2 3 4

[tex]y[/tex] 1/3 1 3 9 27

As we see,

The value of [tex]x[/tex] undergoes a constant change of 1

[tex]1 - 0 = 1; \\2 - 1 = 1; \\3 - 2 = 1; \\4 - 3 = 1[/tex]

The ratio also remains constant

[tex]1/[1/3] = 3, \\3/1 = 3, \\9/3 = 3; \\27/9 = 3[/tex]

Thus, it exemplifies an exponential function.

Similarly,

C). [tex]x[/tex] 0 1 2 3 4

[tex]y[/tex] 5 5/2 5/4 5/8 5/16

As we see,

The value of [tex]x[/tex] undergoes a constant change of 1

[tex]1 - 0 = 1; \\2 - 1 = 1; \\3 - 2 = 1; \\4 - 3 = 1[/tex]

The ratio also remains constant

[tex][5/2]/5= 1/2\\\\[5/4]/[5/2] = 1/2\\\\[5/8]/[5/4] = 1/2\\\\[5/16]/[5/8] = 1/2[/tex]

Thus, it exemplifies an exponential function.

Thus, options B and C are the correct answers as the other two have a constant change but not a constant ratio.

Learn more about "exponential function" here:

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A+B=44
A : B is equvililent to 13 :8
Please solve

Answers

Step-by-step explanation:

13:8A=13x. B=8x13x + 8x = 44 21x=44 x=2.095

13:18 is in simplest form, so it’s multiplied by something, let’s call it x

So A + B equals 13x + 8x

13x + 8x = 44
21x = 44
x =44/21

Plug in to check:
13(44/21) + 8(44/21) = 44
572/21 + 352/21 = 44
924/21 = 44
44 = 44 :)

10,295 - 3,429 = N
N = ?

Answers

Answer:

The Answer is 6,866

this will help me a lot if you anwser this

Answers

I think the answer may be B but I don’t really know

Enry can make 8 cupcakes (the y value) with one cup of flour (the x value). How many cupcakes can he make with 7 cups of flour?

Answers

Answer: 8x7=56 so 56

Step-by-step explanation:

Greg and Carl work at neighborhood car wash facilities and are paid daily. Greg is paid $25 a day plus $7 for each car he washes. Carl earns the same amount per car washed, but his total earnings in a day are always $6 more than Greg's. Which equation expresses the total amount, t, that Carl earns, as a function of the cars he washes, c?
A)t=19+7c
B)t=25+7c
C)t=31+7c
D)t=25+13c

Answers

Answer:

Answer: It's easy, compare the same answers.

Step-by-step explanation:

A. 19+7= 16

B. 25+7= 32

C. 31+7= 38

D. 25+13= 38

the next algebra test is worth 100 points and contains 35 problems. multiple-choice questions are worth 2 points each and word problems are 7 points each. how many of each type of equation are there? Please leave steps.

Answers

Answer:

29 multiple choice questions, 6 word problems

Step-by-step explanation:

2x + 7y = 100

x + y = 35

y = 35 - x

2x + 7 (35 - x) = 100

2x - 7x + 245 = 100

-5x = -145

x = 29

29 + y = 35

y = 6

There are 6 word problems, which are 42 marks and 29 multiple choice questions for 58.

A cylinder has a height of 14 centimeters and a radius of 17 centimeters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.

Answers

Answer

Volume = [tex] \sf{\pi r^2 h} [/tex]

[tex] = \sf{3.14 \times {17}^{2} \times 14 } = \sf{12704.45~cm^3} [/tex]

find the area cirlcle if the circle has a radius of 11 centimeters.

Answers

Answer:

380.133

Step-by-step explanation:

A = πr²

Hope this helps!

Pls 5 stars <3

Which is the correct equation for a line that has a slope of 2 and passes through the point (-1, -5). Use the graph below or graph paper if needed.
PLEASE HELP ASAP
A.y = 2x - 5

B.y = 2x + 5

C.y = 2x - 3

D.y = 2x + 3

Answers

9514 1404 393

Answer:

C. y = 2x - 3

Step-by-step explanation:

The y-intercept (b) can be found from ...

y = mx + b

y - mx = b . . . . . subtract mx

Here, you are given (x, y) = (-1, -5) and slope m = 2.

b = -5 -2(-1) = -5+2 = -3

The correct equation is ...

y = 2x -3 . . . . . matches choice C

_____

On the graph, you can plot point (-1, -5) left of the y-axis 1 unit and down from the x-axis 5 units. The slope of 2 tells you the line will rise 2 units from there to a y-value of -3 when it runs 1 unit to the right to an x-value of 0. That point (0, -3) is the y-intercept, showing you that choice C is correct.

The blue line is the graph of y = –4x + 5. Use the sliders to make the orange line represent y = –2x + 3. Examine the graph. What is the solution of the system of these two equations?
(0, 5)
(1, 1)
(2, 2)
(3, 0)

Answers

-2x+3=-4x+5
2x=2
x=1
(1,1)

Answer:

1,1

Step-by-step explanation:

1) a mass of 300kg is increased by 8%.
workout the increase in mass

2) nelson scores 27 out of 40 in a test
work out his score as a percentage

Answers

Answer:

1. 324kg

2. 67.5%

Step-by-step explanation:

1. % increase = 100 + 8 = 108%

[tex]\frac{108}{100} x 300[/tex]

= 324kg

2. [tex]\frac{27}{40} x 100[/tex]

= 67.5%

The width of a rectangle measures (2p-5) centimeters, and its length measures (8p+8)centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?

Answers

Answer: The expression that represents the perimeter, in centimeters, of the rectangle=20p + 11 centimeters

Step-by-step explanation:

Perimeter of a rectangle = 2(l+w)

length measures (8p+8)centimetres.

width measures (2p-5) centimeters,

Such that Perimeter= 2 L +2 W

Perimeter= 2( 8p+8) + 2(2p-5 ) This gives the expression to solve for the Perimeter

Solving

Perimeter= 2( 8p+8) + 2(2p-5 )

Permeter= 16p+ 16+ 4p-5

Perimeter= 16p+4p+16-5

Perimeter= 20p + 11 centimeters

Part A:
Sheronda uses 1 3/4 cups of sugar in every batch of homemade muffins she makes. One day, while making muffins for her son's bake sale, she used 19 1/4 cups of sugar in all. How many batches of muffins did she make?

A)34

B)19

C)13

D)11

Answers

The answer is D. This is so because 19 1/4 divided by 1 3/4 is 11. Hope this helps.

What is the area of the trapezoid?
6 m
4 m
5 m
3 m
square meters

Answers

6 square meters long because of jesus

Answer : 19.5m

The area formula for a trapezoid is A = a+b
——h
2
You would cut the trapezoid vertically then you would do 4x3=12 then 3x5...3 because you subtracted 6-3, so 3x5 is 15 then 15/2 would be 7.5 you divided bc it’s a triangle and the formula for the triangle is A=bxh/2
Then lastly you would add 7.5 + 12 and you’d get 19.5m.

Hope it helped :)!

Helpeoepeoeoeo show work

Answers

IMPORTANT THIGNS TO REMEMBER:

Has 20 lb. dog food!Gives dog 1 3/5 everyday!Find how much eaten after 2 days!Find how much is left!

ANSWER:

Dog has eaten 3 1/5 after 2 days!

There is 16 4/5 left in bag!

EXPLANATION:

Since she gives 1 3/5 to her dog everyday and their asking for 2 days you would multiply 1 3/5 × 2 OR add 1 3/5 + 1 3/5

Which would give you 3 1/5

So, the dog has eaten 3 1/5 lb. of dog food in 2 days.

However then, you would subtract 20 lb. - 3 1/5 lb. because there is 20 lb. dog food in all and the dog has eaten 3 1/5 of it. This would give you 16 4/5 lb.

Meaning there is 16 4/5 lb. left in the bag of dog food!

how do I do this problem I'm doing test corrections and I have no idea how to do it

Answers

Answer:

i think its 3 but dont quote me

Step-by-step explanation:

Answer:

Step-by-step explanation:

9 can help in completing square formula

4) Justin had 32 coins in nickels and quarters. He had 8 more quarters than nickels. How many of
each type of coin did he have?

Answers

12 nickels and 20 quarters.

n + (q + 8) = 32
12 + (20 + 8) = 32

20 quarters and 12 nickels because 20 is 8 more than 12 and 20 plus 12 is 32. Soooo in conclusion the person above me is right I hope you have a great day

y=-2/3x+1
how do you find the slope and y intercept

Answers

Answer:

The slope is -2/3 and the y intercept is 1

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = -2/3 x+1

The slope is -2/3 and the y intercept is 1

help pleaseeee!!!!!! 30 points

Answers

Answer:

Pen = y

25.00 + y

Step-by-step explanation:

expressions do not have equal signs.

25 more than the pen is 25 + y

the expression would be

25 + y

Answer:

we will say that x stands for the pen

x + $25 = cost of the pencil

Step-by-step explanation:

What is the equation of the function that is graphed as line a?

Answers

Answer:

Step-by-step explanation:

what is the slope of a line parallel to y = 4/3x-2

Answers

I'm not that sure but I want to help

Step-by-step explanation:

y=4/3×-2

y=2/3×

Divide 2/3×

Pls help I don’t get it

Answers

Answer:

Rotation 90 degrees counter clockwise, dilation of 6, translation down

Step-by-step explanation:

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A polygon has a perimeter of 18 units. It is dilated with a scale factor of 3/2 what is the perimeter of its image?

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A polygon has a perimeter of 18 units. It is dilated with a scale factor of 3/2 what is
the perimeter of its image?