Polygon MNP shown on the coordinate planeA dilation centered about the origin will be performed on the polygon with vertices M(- 18, 12) forall(8,10),8(-6,8) and Q(- 8, - 8)

Answers

Answer 1

Answer:

N'(4, 5)

Step-by-step explanation:

The correct question is attached.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, dilation and translation.

Dilation is a transformation that changes the size of a figure (i.e. it increases or reduces the size).

If a point A(x, y) is dilated by a factor k, the new point is at A'(kx, ky).

The location of the polygon vertex is at M(-16, 12), N(8, 10), P(-6, 8) and Q(-8, -8).

After dilation, the new location of M is at M'(-8, 6)

M(-16, 12) ⇒ M'(-8, 6)

M(-16, 12) ⇒ M'[1/2(-16), 1/2(12)]

Hence the dilation factor is 1/2. This means that the new vertex is at:

N'(4, 5), P'(-3, 4) and Q'(-4, -4).

Polygon MNP Shown On The Coordinate PlaneA Dilation Centered About The Origin Will Be Performed On The

Related Questions

James is making a math final for his students. He already has 22 questions, and can make 12 more for every hour. Which is an equation that represents how many questions (q) he has for every hour (h)?
a.q(h) = 12h
b.q(h) = 22h + 12
c. q(h) = 12h + 22
d.q(h) = 12h-22​

Answers

C, this is because the 22 questions are already created, plus the hourly rate james makes questions

PLS HELP ASAP THIS IS EASY

Look at the trapezoid shown below. Which transformation carries the trapezoid onto itself ?

A) a reflection across the line y = 0

B) a rotation of 180 ° about the point (- 1, 0)

C) a rotation of 180 ° about the origin

D) a reflection across the line x = - 1

Answers

Answer: D

Step-by-step explanation: a reflection across the line x=-1

Point K lies at (-3,4). Point K is reflected over the y-axis and then translated 7 units down to produce K’. Which rule could have been used to produce K’ from K?

Answers

Answer: B

Step-by-step explanation:

Answer:

K(x,y) →K'(-x, y-7)     (B)

Step-by-step explanation:

Mr. Richards a teacher at crosstown Elementary school, plans to take 25 students on a school trip. Here are some more facts about the trip: Only one bus is needed for the field trip, the bus company charges $6.50 per mile. The school will pay $300 for the trip, teachers go free, and each student pays the same amount. You will find the cost of this field trip. What is the final cost for all students to attend this field trip?

Answers

Incomplete question. The remaining part of the question reads;

Here are the places they could visit:

Big City Zoo> 36 miles from Crosstown; Entrance Fee: $2.5Prison Museum> 30 miles from Crosstown; Entrance Fee: $6.75Space Science> 10 miles from Crossword; Entrance Fee: $11.25

I calculated the cost of going to 'Big City Zoo and Space Science'.

Answer:

Big City Zoo = $3.86

Space science = $1.35

Step-by-step explanation:

For Big City Zoo:

Entrance fee: $2.5 x 25 = $62.5

Charges per mile: $6.5 x 36 = $234

Total cost of trip= $296.5

Final cost for all students to attend this field trip = $296.5 - $200 = $96.5. Meaning each student pays $3.86 (or $96.5/25 students).

For Space Science:

Entrance fee: $6.75 x 25 = $168.75

Charges per mile: $6.5 x 10 = $65

Total cost of trip= $233.75.

Final cost for all students to attend this field trip = $233.75 - $200 = $33.75. Meaning each student pays $1.35 (or $33.75/25 students).

Michael has finished 25% of an art project that has taken him a total of 4 hours so far. If he continues to work at the same rate, how many hours will it take for him to complete the entire project?

Answers

It will take him 16 hours because 25 is 1/4 of 100% so 4 times 4 is 16. So 16 is your answer :)

Answer:

16 hours of total work time, 12 hours of work not including the original 4 hours

Step-by-step explanation:

25 percent is 1/4

To get to a whole, you need to do 4*4.

That is how many total hours of work time, -4 (the pre-existing 4) you get 12 of added time on top of the 4

The image below shows two dilated figures with lines AB and A'B' drawn. If the larger figure was dilated using a scale factor of 3, what relationship do lines AB and A'B' have? (10 points) ​

Answers

Answer:

They have the same side lengths/angles except one is smaller than the other

Step-by-step explanation:

the smaller one is a "mini" of the larger one. a exact copy

The dilation is solved and the scale factor of line is A'B' = 3AB

What is Dilation?

Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent

The result of dilation is that the shapes and boundaries of objects in the input image are expanded or thickened. It is often used in conjunction with other morphological operations such as erosion, opening, and closing to manipulate and enhance images.

Given data ,

Let the scale factor of the dilation be represented as k

Now , the scale factor k = 3

So , the ratio of the corresponding sides is given by

A'B' / AB = 3

Multiply by AB on both sides , we get

A'B' = 3AB

Hence , the dilation is simplified as A'B' = 3AB

To learn more about dilation click :

https://brainly.com/question/13176891

#SPJ2

answer quickly !!! Pls

Answers

Answer:

(6 × 5) + (6 × 3) = 6 × (5 + 3)

Step-by-step explanation:

Since both 5 and 3 are being multiplied by 6, the total would be 6 multiplied by the sum of 5 and 3.

Question 1
1. You must build a ramp with a rise of 15 inches to roll
some lab equipment into your school. If you follow the
ADA specifications, what is the horizontal length (the "run")
of the shortest ramp you can build? What is the ramp's
total length?

Answers

Could you explain better so I could understand

Which of the following systems of inequalities has point D as a solution?​

Answers

Answer:

The answer is A

Step-by-step explanation:

Which graph represents a proportional relationship

Answers

Answer:

First One.

The first one is going up and the second one is going down. (Really don't know how to explain this I just looked at it and saw...)

An above ground pool with 17,100 gallons of water was draining. If the pool drained at a rate of 1,800 gallons per hour, how many hours has it
been draining if there was 6,300 gallons left?

Answers

Answer:

6 Hours

Step-by-step explanation:

17,100 - 6,300= 10,800

10,800/1,800 = 6

What is the distance between (6,-3) and (6,-7)

Answers

Answer

4

Step-by-step explanation:

d²=(6-6)²+(-7+3)²

d²=16

[tex]\sqrt{16}[/tex]=4

Find the sum of the first 47 terms of the following series, to the nearest integer.
13, 18, 23, ...

Answers

Answer:

The sum of the first 47 terms of the given series = 6016

Step-by-step explanation:

Given the sequence

13, 18, 23, ...

An arithmetic sequence has a constant difference 'd' and is defined by

[tex]a_n=a_1+\left(n-1\right)d[/tex]

[tex]18-13=5,\:\quad \:23-18=5[/tex]

As the difference between all the adjacent terms is the same.

so

[tex]d=5[/tex]

[tex]a_1=13[/tex]

Arithmetic sequence sum formula

[tex]n\left(a_1+\frac{d\left(n-1\right)}{2}\right)[/tex]

Put the values

[tex]d=5[/tex]

[tex]a_1=13[/tex]

[tex]n=47[/tex]

[tex]=47\left(13+\frac{5\left(47-1\right)}{2}\right)[/tex]

[tex]=47\left(13+\frac{5\left(47-1\right)}{2}\right)[/tex]

[tex]=47\left(13+115\right)[/tex]

[tex]=47\cdot \:128[/tex]

[tex]=6016[/tex]

Thus, the sum of the first 47 terms of the given series = 6016

How do you find the equation of the circle given center at (1,-3), and radius 10?

Answers

Answer:

note: all the twos are to the power

100=(x−1)2(y+3)

Step-by-step explanation:

Suppose the centre of the circle was at the origin (where the x axis crosses the y axis). Then the equation would be:

r2=x2+y2

The reason for this format is that the length of the radius (which is of fixed length) can be related to x and y by Pythagoras. However, the circle centre is not at the origin. It is at

(x,y)→(1,−3)

So we can mathematically make this work by 'theoretically' moving the actual centre to a new centre located at the origin.

Thus we would have:

r2=(x−1)2+(y−(−3))2

r2=(x−1)2+(y+3)2

But the radius is 10 so we have

(10)2=(x−1)2+(y+3)2

100=(x−1)2+(y+3

Sausages come in packets of 7. Bread rolls come in packets of 5. Dan wants to buy enough packs of sausages and rolls so that there are an equal number of sausages and rolls. What is the minimum number of sausages and rolls he needs to buy?

Answers

Answer:

5 packs of sausages7 packs of rolls

Step-by-step explanation:

You need to find the common multiple.

5 x 7 = 35.

We know that before this there is no other common multiple becuase 7 does not multiply to a number that ends with a 0 or 5 until 35.

So, he will need to buy:

- 5 packs of sausages

- 7 packs of rolls

Answer:

7 packs of rolls

5 packs of sausages

Step-by-step explanation:

The easiest way to solve this question is to make a table with 3 columns

Rolls          5   10   15 20 25 30 35

Sausages  7    14   21 28 35 42 49

# packs    1    2    3    4   5    6  7

Looking at the table you can see that the first number that matches up is 35 so looking at that point we would need 7 packs of rolls and 5 packs of sausages.

An arborist examined trees in an orchard to see if they were infected with a virus. 21 out of 28 trees were infected with the virus. What percentage of the trees were infected?

Answers

Answer:

75%

Step-by-step explanation:

21/28 is the same as 75%

1 Find the area of the circle below: 4 cm​

Answers

Answer:

[tex]A = 16\pi[/tex]cm

Step-by-step explanation:

Area of a circle equation:

[tex]A = \pi r^2[/tex]

Plug in r = 4cm and solve:

[tex]A = 16\pi[/tex]cm

Answer:

ok so if its the radius:

50.27cm

if its the diameter:

12.57cm

Step-by-step explanation:

A bag contains 1 blue, 2 green, 3 yellow, and 3 red marbles, as shown.Which best describes the complement of choosing a red marble?

choosing a green or blue marble
choosing any marble
choosing a blue, green, or yellow marble
choosing a yellow marble

Answers

Answer:

C) choosing a blue, green or yellow marble.

Step-by-step explanation:

The Complement of choosing a red marble means choosing any other marble that isn't red.

From the question , it was said that there were a blue , green, yellow and red marble.

So the Complement of choosing a red marble will be choosing any other marble apart from the red so ,that will be choosing a blue yellow or green marble.

Answer:

c

Step-by-step explanation:

An unusually wet spring has caused the size of a mosquito population in some city to increase by ​8% each day. If an estimated ​180,000 mosquitoes are in the city on May ​, find how many mosquitoes will inhabit the city on May . Use y= 18​0,000 where x is number of days since May .

Answers

Answer:

The number of mosquitoes that will inhabit the city on May 25 is 4,471,200.

Step-by-step explanation:

Note: This question is not complete as some important figures and points are omitted. The complete question is therefore provided before answering the question as follows:

An unusually wet spring has caused the size of a mosquito population in some city to increase by ​8% each day. If an estimated ​180,000 mosquitoes are in the city on May 12​, find how many mosquitoes will inhabit the city on May 25. Use y= 18​0,000(1.08)x where x is number of days since May 2.

The explanation to the answer is now given as follows:

Given;

y = 18​0,000(1.08)x = 18​0,000 * 1.08 * x .................... (1)

Where;

y = Number of mosquitoes that will inhabit the city on May 25 = ?

x = Number of days since May 2 = 25 - 2 = 23

Substituting for x = 23 into equation (1), we have:

y = 18​0,000 * 1.08 * 23

y = 4,471,200

Therefore, the number of mosquitoes that will inhabit the city on May 25 is 4,471,200.

Gayle made a


baby quilt using 24 equal squares. What


are the dimensions of 1 square? Describe


two different ways to find the answer.

Answers

Answer:

[tex]Measurement = 0.75ft[/tex]

Step-by-step explanation:

See attachment for complete question

Method 1:

Considering the width and length of the quilt

Given

[tex]Number\ of\ squares = 24[/tex]

Required

Determine the dimension of 1 square

The width of the quilt is 4.5ft and there are 6 squares in that dimension.

Each measurement is calculated as thus:

[tex]Measurement = \frac{4.5ft}{6}[/tex]

[tex]Measurement = 0.75ft[/tex]

Or

The length of the quilt is 3ft and there are 4 squares in that dimension.

Each measurement is calculated as thus:

[tex]Measurement = \frac{3ft}{4}[/tex]

[tex]Measurement = 0.75ft[/tex]

Method 2:

Calculate the area of the quilt.

[tex]Area = 4.5ft * 3ft[/tex]

[tex]Area = 13.5ft^2[/tex]

The area of 1 of the 24 squares is calculated by dividing the total area by number of squares

[tex]Area = \frac{13.5ft^2}{24}[/tex]

[tex]Area = 0.5625\ ft^2[/tex]

Represent the dimension of individual square with L

Area of a square is:

[tex]Area = L * L[/tex]

This gives:

[tex]L * L = 0.5625[/tex]

[tex]L^2 = 0.5625[/tex]

Take square root of both sides

[tex]L = \sqrt{0.5625[/tex]

[tex]L = 0.75ft[/tex]

Hence, the dimension of each square is 0.75ft

The blue turtle lays eggs that are
approximately spherical with an average
diameter of 3.6 centimeters. Each turtle
lays an average of 56 eggs at one time.
Find the total volume of these eggs, to
the nearest tenth cubic centimeter.

I’ll give brainliest if it right!
HELPPPPPPPPPPPPPPP

Answers

Answer:

A) 1366.4 cm

Step-by-step explanation:

As, volume of a sphere = 4/3 x pi x r^3

Radius= Diameter /2

R = 3.6/2 = 1.8

So,volume of 1 egg = 4/3 x 3.14 x 1.8^3

= 24.43 = volume

So volume of 56 such eggs = 24.43 x 56 = 1,366.4 cm^3

Put some coordinates on a graph and work it out pls worth 10pts

Answers

Answer: (-1,1)(1,1)(-2,-1)(2,-1)

Step-by-step explanation:

21 boys and 14 girls. What is the ratio of girls to boys in Ms. Hawthorne's class?

Answers

Answer:

14 to 21

Step-by-step explanation:

reverse of 21 to 14 = 14 to 21

t/2 = 9? i need help

Answers

Answer:

18/2 =9

Step-by-step explanation:

T=18, look at the attachment for work

2. The measure of an angle is 114°. What is the measure of
its supplement?

Answers

Answer:

66

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf 66\°}[/tex]

Step-by-step explanation:

Supplementary angles add up to 180°.

So,

The measure of the angle of supplement of 114° is:

=> 180° - 114° = 66°

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AnonymousHelper1807

A farmer has 12 acres of land. He plans to plant w acres of wheat and b acres of barley on his land. If he plans to plant wheat in no more than 3 acres of land, which system of inequalities represents the possible values for b and w ?

Answers

Answer: w+b>12. W>3

Step-by-step explanation: because the teacher tell me


58°
(4x+10)°
Find the value of the variable in the isosceles trapezoid.

Answers

X=73 would be your answer

A garden table and a bench cost $804 combined. The garden table costs $54 more than the bench. What is the cost of the bench?

Answers

Answer:

its 750

Step-by-step explanation:

because its 804 combined and 804-54=750 and 750+54=804

750 I agree with the other person

What is the image point of (6,-4)(6,−4) after a translation left 4 units and down 5 units?

Answers

Answer:

(2,-9)

Step-by-step explanation:

6-4 = 2

-4-5 =9

so The answer is (2,-9)

plzzz helpppp!!!!!
How can you identify the solution to a system of inequalities?​

Answers

Answer:

The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system. Graph one line at the time in the same coordinate plane and shade the half-plane that satisfies the inequality

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