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:
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).
Related Questions
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.
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:
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
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
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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 power100=(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
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%
Which of the following systems of inequalities has point D as a solution?
Answers
Answer:
The answer is A
Step-by-step explanation:
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!
~AnonymousHelper1807Question 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
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
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
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
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)
58°
(4x+10)°
Find the value of the variable in the isosceles trapezoid.
Answers
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: $11.25I 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).
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:
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.
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:
t/2 = 9? i need help
Answers
Answer:
18/2 =9
Step-by-step explanation:
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
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
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
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= 180,000 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= 180,000(1.08)x where x is number of days since May 2.
The explanation to the answer is now given as follows:
Given;
y = 180,000(1.08)x = 180,000 * 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 = 180,000 * 1.08 * 23
y = 4,471,200
Therefore, the number of mosquitoes that will inhabit the city on May 25 is 4,471,200.
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:
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
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
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
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
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
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...)
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