Graph the polygon and its image after a dilation centered at C(1,1)
with scale factor k=0.5
.

J(3,1), K(5,−3), L(5,5), M(3,7)

Answers

Answer 1

Now we proceed to present the graphs of the polygon and its image with the help of a graphing tool. The original polygon is highlighted in red and the image is highlighted in blue.

DIlations are defined by the follwing operation:

[tex]P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)][/tex] (1)

Where:

[tex]O(x,y)[/tex] - Center of dilation.[tex]k[/tex] - Dilation factor.[tex]P(x,y)[/tex] - Original point of the polygon.[tex]P'(x,y)[/tex] - Dilated point of the polygon.

If we know that [tex]O(x,y) = (1,1)[/tex], [tex]k = 0.5[/tex], [tex]J(x,y) = (3,1)[/tex], [tex]K(x,y) = (5, -3)[/tex], [tex]L(x,y) = (5,5)[/tex] and [tex]M(x,y) = (3,7)[/tex], then the coordinates of the new polygon are:

[tex]J'(x,y) = (1,1) + 0.5\cdot [(3,1)-(1,1)][/tex]

[tex]J'(x,y) = (1,1)+0.5\cdot (2,0)[/tex]

[tex]J'(x,y) = (1,1) +(1,0)[/tex]

[tex]J'(x,y) = (2,1)[/tex]

[tex]K'(x,y) = (1,1) + 0.5\cdot [(5,-3)-(1,1)][/tex]

[tex]K'(x,y) = (1,1) +0.5\cdot (4,-4)[/tex]

[tex]K'(x,y) = (1,1) +(2,-2)[/tex]

[tex]K'(x,y) = (3,-1)[/tex]

[tex]L'(x,y) = (1,1) + 0.5\cdot [(5,5)-(1,1)][/tex]

[tex]L'(x,y) = (1,1) + 0.5\cdot (4,4)[/tex]

[tex]L'(x,y) = (1,1) + (2,2)[/tex]

[tex]L'(x,y) = (3,3)[/tex]

[tex]M'(x,y) = (1,1) + 0.5\cdot [(3,7)-(1,1)][/tex]

[tex]M'(x,y) = (1,1) +0.5\cdot (2,6)[/tex]

[tex]M'(x,y) = (1,1) +(1,3)[/tex]

[tex]M'(x,y) = (2,4)[/tex]

Now we proceed to present the graphs of the polygon and its image with the help of a graphing tool. The original polygon is highlighted in red and the image is highlighted in blue.

We kindly invite to check this question on dilations: https://brainly.com/question/13176891

Graph The Polygon And Its Image After A Dilation Centered At C(1,1) With Scale Factor K=0.5.J(3,1), K(5,3),

Related Questions

Matthew's bedroom has an area of 72 square feet. The bedroom is 8 times as many square feet as Matthew's closet. If the closet is 3 feet wide, what is the length of the closet?

Answers

Answer:

3

Step-by-step explanation:

72÷8=9

3×y=9

3=y

I hope this helps

What is the area of this tile? in. in? 4 in. I in.​

Answers

Answer:

1*4 = 4 in^2

Step-by-step explanation:

The area for this shape is calculated by multiplying width and length:

1*4 = 4 in^2

Combine Like Terms:

7X + 3M - 2(2X + 8) + 24 + 8M - X
so hard

Answers

Answer:

11M + 2X + 8

Step-by-step explanation:

Hope this helps!! :))

Answer:

11M + 2x + 8

I did the math

it rights tho

WILL GIVE BRAINIEST IF YOU GET IT RIGHT PLEASE HELPP!!!
Translation: with the digits 1,2,3 you can form three-digit numbers like 123,231,312 ... determine the sum of all possible numbers

Answers

Answer:

d

Step-by-step explanation:

po ang tamang sagon po

6m in the ratio 7:3:5

Answers

Step-by-step explanation:

which one of the 3 categories represent the 6m ?

the 7 ? the 3 ? or the 5 ?

I suspect it is the 3 (the middle), because it is the only one working with 6 using only integer numbers.

you really have to be more careful about putting all relevant information here for a question.

so,

in general, we see that a "whole" set of distance types has 7 + 3 + 5 = 15 parts (in our case equally long distance segments).

the length of the first type (whatever it is) is 7 parts of the whole 15 parts. = 7/15

the length of the second type is 3 parts of the whole 15 parts (and we suspect this type to be 6m). = 3/15

and the length of the third type is 5 parts of the whole 15 parts. = 5/15

since we now know (or rather assume) that 6m = 3 parts, we can then calculate that 1 part of the 15 is 6/3=2m.

aha !

so then 7 parts are 2×7 = 14m.

and 5 parts are 2×5 = 10m

I guess that's what you needed to find, right ?

just to practice : what would it be, if 6m stands for the 7 ?

we still have the 15 parts of the whole.

but now 7 parts stand for 6m.

1 part is then 6/7m.

3 parts would then be 3×6/7 = 18/7m

5 parts would be 5×6/7 = 30/7m

you see now, why I think the 6m were meant for the 3 part category ?


Evaluate each question below

Answers

Answer:

b=29 a=5.5 n=-13 r=12

Step-by-step explanation:

a: 5+8(4)=5+24=29

b: 3-5(-0.5)=3+2.5=5.5

c: 2(-2)^2-5=2(-4)-5=-8-5=-13

d= -3(-1-3)=-3(-4)=12

substitute the variable with the number and pedmas

variable is the letters in the equation: y=5+8x

Find x and y. ‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎

Answers

Answer:

x = 36°y = 48°

Step-by-step explanation:

Given:

ΔABC ≅ ΔFDEWe can tell that y = 48° because ΔABC ≅ ΔFDE. We can also tell that ∠DEF = 108 because ΔABC ≅ ΔFDE.

Let's first try to simplify ∠CAB in ΔABC. Then we can find the 'x' in ΔFDE with the help of ΔABC.

ΔABC = 108 + 48 + ∠CAB = 180°

=> 156 + ∠CAB = 180°

=> ∠CAB = 24°

=> 48 + 108 + 2x - 48 = 180°

=> 108 + 2x = 180°

=> 2x = 72°

=> x = 36°

So, after working on this problem, we can conclude that 'x = 36°' and 'y = 48°'. Hoped this helped.

Answer: x=36, y=48

Step-by-step explanation:

The sum of the angles in a triangle is 180.  From triangle ABC we see that:

108 + 48 + Z = 180, where Z is the unknown third angle.

156  + Z = 180

Z= 24 (angle CAB).

Since the triangles are similar, we can say angle EDF(y) is equal to angle CAB (48).  Thus,

y = 48

we can also say that angle CAB is the same as angle DFE:

24 = (2x-y)  

24=2x-48

72=2x

x=36

write an quadratic equation with the x-intercepts of (0,0) and (16,0)

Answers

Answer:

y = x^2 - 16x

Step-by-step explanation:

The given roots are x = {0, 16}

y = (x - 0)(x - 16)

y = x(x - 16)

y = x^2 - 16x

please help!! thanks!

Answers

Answer:

A.) Yes

Step-by-step explanation:

Plug in (3,2) into both equations ....

2(3) - 3(2) = 0

2(3) + 2 = 8

Then solve ....

2(3) - 3(2) = 0

6 - 6 = 0

0 = 0

2(3) + 2 = 8

6 + 2 = 8

8 = 8

Since both equation are true the solution (3,2) is true

Help !! I don’t understand

Answers

Answer: .8, -.9, -.5, .9 (estimates)

Step-by-step explanation: correlation coefficients are between -1.0 and 1.0.

    -1.0 means a perfectly negative correlation, which will be a straight line going down from left to right

    0 means no correlation, it's just random points on the graph with no sense of direction or relationship

   1.0 means a perfectly positive correlation, which will be a straight line going up from left to right

the more line-like the shape the data points make are, the further away the correlation coefficient is from 0. you can tell if it's negaitive or positive from the direction of the line.

rail fares go up by 10%, and josie’s new season ticket to london costs £1342. calculate how much more she has to pay now than she did before the 10% increase was added

Answers

Answer:

£134.2 more

Step-by-step explanation:

Divide 1342 by 100

Then you get 13.42

Times that by 10 and £134.2 is 10%

Factorise fully

gcse maths

please help

Answers

Answer:

Step-by-step explanation:

Numbers: HCF of 18 and 30

18: 2 * 3 * 3

30:2 * 3 * 5

HCF: 2 and 3 = 6

a: a * a and a.

HCF = a

b: b

c: c and c*c

HCF: C

Answer: 6*a*b*c(3a + 5*c)

Note: for this question one of the factors is the HCF and the other is what remains when the HCF is taken out.

Last month of the visitors at the zoo saw the panda. This month of the visitors at the zoo saw the panda. What fraction more of the visitors saw the panda this month? Simplify the answer if possible.

A. 1/12

B. 1/4

C. 1/6

D. 3/4​

Answers

Answer:

There is no way of finding out.

Step-by-step explanation:

9.
3
Here is a recipe for making 10 chocolate chip cookies.
Chocolate Chip Cookies
Makes 10 cookies.
100 g of flour
60 g of sugar
50 g of margarine
40 g of chocolate chips
g
2 eggs
Work out the amounts needed to make 15 chocolate chip cookies.

Answers

Answer:

you will half the recipe, so

50g flour

30g sugar

25g margarine

20g chocolate chips

1 egg

then add together. recipe for 15 cookies will be;

150g flour

90g sugar

75g margarine

60gr chocolate chips

3 eggs

Identify the slope and y-intercept of the
equation 2x + 5y = 20

Answers

Answer:

Slope = - ⅖

Y-intercept = (0, 4), where b = 4

Step-by-step explanation:

Given the linear equation in standard form, 2x + 5y = 20, where A = 2, B = 5, and C = 20:

Start by transforming the standard equation into its slope-intercept form, y = mx + b, where m = slope, and b = y-intercept.

Subtract 2x from both sides:

2x -2x + 5y = - 2x + 20

5y = -2x + 20

Divide both sides by 5 to isolate y:

[tex]\frac{5y}{5} = \frac{-2x + 20}{5}[/tex]

y = - ⅖x + 4 ⇒ This is the slope-intercept form where the slope, m = -⅖, and the y-intercept, b = 4.  The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates of (0, b). The y-coordinate is the value of b in the slope-intercept form. Therefore, the y-intercept is (0, 4).

Use the pattern in the sequence to determine the next two terms.

-16, 8, -4, 2. . .

Answers

Answer:

-1 , 1/2

Step-by-step explanation:

Each term is obtained by dividing by (-2)

-16/-2 = 8

So, the next two terms are:

2/-2 = -1

-1/-2 = 1/2

x-3y=-14
x-y=-2
substution method

Answers

Answer:

(4, 6 )

Step-by-step explanation:

x - 3y = - 14 ( add 3y to both sides )

x = - 14 + 3y → (1)

x - y = - 2 → (2)

Substitute x = - 14 + 3y into (2)

- 14 + 3y - y = - 2

- 14 + 2y = - 2 ( add 14 to both sides )

2y = 12 ( divide both sides by 2 )

y = 6

Substitute y = 6 into (1)

x = - 14 + 3(6) = - 14 + 18 = 4

solution is (4, 6 )

the value of y varies directly with X. Which function represents the relationship between X and Y if y equals 15/6 when x equals 20​

Answers

Answer:

y = (1/8)x

Step-by-step explanation:

The relevant basic formula is y = kx, where k is the constant of proportionality.

We must find k.  To do this, let y = 15/6 and x = 20 in the above formula:

15/6 = k(20)

We solve for k by dividing both sides by 20:  15/(6*20) = k = 1/8

Then the specific formula for this situation is y = (1/8)x

Three bowls of frozen yogurt cost 8.25. At the same rate how much do 9 bowls of frozen yogurt cost.

Answers

Answer:

$24.75

Step-by-step explanation:

$8.25 is for 3. So triple that cost gets you $24.75

A jar contains 35 coins made up of 20c and 50c coins only. Then total value of the coins is
$13.90.

(I) If there were x 20c coins, write an equation in x for the number of 50c coins.

(ii) Using the given information, write an equation in terms of x for the total sum of money
the jar holds.

(iii) Solve the equation to find the number of each type of coin in the jar.

Answers

There are 12 coins which are 20 cent each and 23 coins which are 50 cent each.

Let x represent the number of 20 cent ($0.2) coins

i) Since there are 35 coins in total:

Number of 50 cent coins = 35 - x

ii) The total value of the coins is $13.90. Hence:

0.2x + 0.5(35 - x) = 13.90

iii) 0.2x + 17.5 - 0.5x = 13.90

0.3x = 3.6

x = 12

Number of 50 cent coin = 35 - x = 35 - 12 = 23

Therefore there are 12 coins which are 20 cent each and 23 coins which are 50 cent each.

Find out more at: https://brainly.com/question/21105092

I need help with Goemetry. Can you help me with this?
Thank you.​

Answers

Answer:

1) (4,5.5) which is (4, 5 [tex]\frac{1}{2}[/tex])

Step-by-step explanation:

Graph it do the equation, (mx2+nx1 divided by  m+n  ,  my2+ny1  divided by m+n )

m being 1 and n being 5. Plug in the points and you get the answer to be, (4,5.5). So the answer is 1)

Question 1

25 pts

What is the total cost to run the cookie shop when rent is $50.00, insurance is $50.00 and the cost

to make the cookies is $100.00?

O $50.00

O $100.00

O $200.00

O $4.00

Answers

Answer:

200

Step-by-step explanation:

50 for rent and 50 for insurance is 100 plus 100 to make them

A car agency shows a new car with a price of AED 45,000. The company predicted that the cost of the
car would depreciate 10% each year for three years and then depreciate 8% each year after that. Find
the value of the vehicle in 8 years.
HELP ME PLSSS

Answers

Answer:

$8640

Step-by-step explanation:

Step 1:

The total amount of the car currently is $45,000. The car depreciates by 10% for the next 3 years. Then multiply 3 to 45,000.

3 × 45,000 = 135,000

The price then decreases by 10%. So, find 10% of 135,000

[tex]10\% = \frac{10}{100}[/tex]

[tex]135000=\frac{135000}{1}[/tex]

[tex]\frac{10}{100}\times \frac{135000}{1}[/tex]

Cross cancel the zeros

[tex]\frac{10}{1}\times \frac{1350}{1}[/tex]

Multiply across

[tex]10\times1350 = 13500[/tex]

Therefore, for the three years, the cars price is now $13,500.

Step 2:

The next step is the same as the first one. But now the car currently is $13,500. And The car depreciates by 8% for the next years. We have to find the value in 8 years. Then multiply 8 to 13,500.

8 × 13,500 = 108,000

Now, find 8% of 108,000

[tex]8\% = \frac{8}{100}[/tex]

[tex]108000=\frac{108000}{1}[/tex]

[tex]\frac{8}{100}\times \frac{108000}{1}[/tex]

Cross cancel the zeros

[tex]\frac{8}{1}\times \frac{1080}{1}[/tex]

Multiply across

[tex]8\times1080 = 8640[/tex]

Therefore, the value of the vehicle in 8 years is $8640.

What is a set builder notation

Answers

Answer:

In set theory and its applications to logic, mathematics, and computer science, set-builder notation is a mathematical notation for describing a set by enumerating its elements, or stating the properties that its members must satisfy.

Step-by-step explanation:

For example, C={2,4,5} denotes a set of three numbers: 2, 4, and 5, and D={(2,4),(−1,5)} denotes a set of two pairs of numbers. ... Another option is to use set-builder notation: F={n3:n is an integer with 1≤n≤100} is the set of cubes of the first 100 positive integers.

Answer:

In set theory and its applications to logic, mathematics, and computer science, set-builder notation is a mathematical notation for describing a set by enumerating its elements, or stating the properties that its members must satisfy.

Step-by-step explanation:

No Explanation

Which statement is a true conditional with a converse that is also true?


If an angle measures more than 90 degrees, then the angle is obtuse.

If x = 4, then x2 = 16.

If a figure is a square, then it is a quadrilateral.

If two angles are complementary, then the angles have a sum of 180 degrees.

Answers

The answer is the 3rd statement, if a figure is a square, it is a quadrilateral
That is true

5 - 6 - 9 - 8 - 5 - 4 + 5 - 5 -5 -5 - 32 = ?

Answers

5 - 6 = -1

-1 - 9  = -10

-10 - 8 = -18

-18 - 5 = -23

-23 - 4  = -27

-27 + 5  = -22

-22 - 5 = -27

-27 -5 = -32

-32 -5  = -37

-37 - 32 = -69

Answer = -69

f(x)={x+4….
for f(x)

Answers

Answer:

x+4 x<5

8 5<_x<7

2x -1 7<_x<_10

Your parents gave you $50 to take your brother and sister to the movies. Your ticket cost $8.25 and your siblings cost $4.25. If you spent an additional $20 on soda and popcorn, how much money did you bring home with you?

$50


$13.25

$39.75


$10.25

Answers

$13.25 is the answer

Write a two paragraph summary of what you are learning in your current math class.

Answers

Answer:

what are you even learning?

Answer:

what is your topic in math class..?

what is the probability that a tabby is chosen as the second kitten when a black kitten was chosen as the first

Answers

0.5/1 it could be 50%
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