Answers
Answer:
1. a) The scale factor that transform ΔKLP to ΔK'L'P' is a dilation of 3/2
b) The rule represented is that if the scale factor is larger than 1, the image formed is larger than the preimage
2. a) The scale factor of the dilation is 3/4
b) The rule represented by the dilation is a scale factor of less than 1 produces an image with a distance from a given point which is less than the distance of the preimage from the given point
Step-by-step explanation:
1. The coordinates of the triangle ΔKLP are;
K(-4, 2), L(2, 6), P(4, -6)
The coordinates of the points of triangle ΔK'L'P' are;
K'(-6, 3), L'(3, 9), P'(6, -9)
The length of segment KL = √((2 - (-4))² + (6 - 2)²) = 2·√13
The length of segment LP = √((4 - 2)² + (-6 - 6)²) = 2·√37
The length of segment KP = √((4 - (-4))² + (-6 - 2)²) = 8·√2
The length of segment K'L' = √((3 - (-6))² + (9 - 3)²) = 3·√13
The length of segment L'P' = √((6 - 3)² + (-9 - 9)²) = 3·√37
The length of segment K'P' = √((6 - (-6))² + (-9 - 3)²) = 12·√2
Therefore, K'L'/KL = 3·√13/(2·√13) = L'P'/LP = (3·√37/(2·√37)) = K'P'/KP =(12·√2/(8·√2)) = 3/2
Therefore, the scale factor that transform ΔKLP to ΔK'L'P' is a dilation of 3/2
The rule represented is that if the scale factor is larger than 1, the image formed (here ΔK'L'P') is larger than the preimage (ΔKLP)
2. The location of the preimage, W(-12, -4), the location of the image after the dilation W'(-9, -3)
Taking the origin O(0, 0), as the center of dilation, we have;
The length of the preimage W(-12, -4) from the origin = √((-12 - 0)² + (-4 - 0)²) = 4·√10
The length of the image W'(-9, -3) from the origin = √((-9 - 0)² + (-3 - 0)²) = 3·√10
Therefore, the scale factor of the dilation = W'O/WO = 3·√10/(4·√10) = 3/4
The scale factor of the dilation = 3/4
The rule represented by the dilation is that for a scale factor less than 1, the distance between the point of the image from a given point is less than the distance of the point of the preimage from the same point
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Answer:
(-4,4)
Step-by-step explanation:
I believe that's it
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Answers
Answer:
11.14
Step-by-step explanation:
Mean = sum of numbers / total numbers
the mean of the 7 numbers = sum of the numbers / 7
sum of numbers for the 3 numbers = 10 x 3 = 30
Sum of numbers for the other 4 numbers = 12 x 4 = 48
Sum of the 7 numbers = 48 + 30 = 78
Mean of the 7 numbers = 78 / 7 = 11.14
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Answer:
she didnt multiply 5 times 12
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have a great day
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Answer:
Nature : The phenomena of the physical world collectively, including plants, animals, the landscape, and other features and products of the earth, as opposed to humans or human creations. (according to Oxford Dictionary)
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Answer:
0.4666666666666667
Step-by-step explanation:
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Answer:
6
Step-by-step explanation:
since it's a right triangle you can use the Pythagorean Theorem
2.7² + b² = 6.5²
7.29 + b² = 42.25
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Answers
Answer:
d = 9
Step-by-step explanation:
solving for d
let's get ride of the fraction first so multiple the whole thing by 3
3= 1d - 6
add 6 to both sides
9 = d
easy peasy.
1
2
+
3
2
d
=
−
1
d
1
2
+
3
2
d
=
-
1
d
Move all terms not containing
d
d
to the right side of the equation
please helpppppp!!!!!
Answers
9514 1404 393
Answer:
A + 2×BD - 2×CStep-by-step explanation:
The shaded area contains area A and two of area B. The expression for that area can be written ...
Area of trapezoid = A + 2×B
__
The overall rectangle has an area of D. The areas labeled C can be subtracted from that to leave the shaded area. The expression for that is ...
Area of trapezoid = D - 2×C
Subtract (-x-3) - (5x + 2).
Answers
Answer:
-1.2 or -5/6
Step-by-step explanation:
thats all I can say pls
Find the value of both variables. Round to the nearest tenth.
30
w
45
44°
to
w=
type your answer...
degrees; x= type your answer...
degrees
Answers
W=~20.8
X=~62.5 degree
Solution:
Soh, Cah, Toa
[Left Triangle] 30=hypotenuse, W=opposite
Sin(angle)=o/h
Sin(44)=W/30
Sin(44)*30=W
W=20.8
[Right Triangle] W=20.8=adjacent, 45=hypotenuse
Cos(x degree)=a/h
Cos(x)=20.8/45
x=arc cos (20.8/45)
x=62.5
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Answers
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since it goes up by 4 you would add the previous number (9) and 4 getting 13
what does a⁵×a³ equal?
Answers
Step-by-step explanation:
[tex] {a}^{5} \times {a}^{3} \\ = {a}^{5 + 3} \\ = {a}^{8} [/tex]
Hope it will help :)
Answer:
a⁵×a³=a⁸
because if base is same than the exponents can add
.
A shop has 400 bulbs
out of which 24 are defective What percent are good bulb?
Answers
Answer:
look at the picture i sent plz......
Answer:
Number of non defective bulbs-
400-24
376
Our fraction would be-
376/400
To make it into percentage we need to always multiply it by 100
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=94%
Thus 94% of the bulbs are non defective
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Answers
Answer:
6.557
Step-by-step explanation:
Answer:
6.557
Step-by-step explanation:
Hope this helps and have a great day!!!
If a person's speed doubles and all else remains the same, what will be the person's angular momentum
Answers
Answer:
The person's angular momentum will be double
Step-by-step explanation:
Let
Speed of person=v
Mass of person=m
Radius=r
Speed of person=2v
We have to find the person's angular momentum when the speed of person is double and all else remains same.
We know that
Angular moment ,L=mvr
Using the formula
Angular momentum of person when speed 2v
L'=m(2v)r
[tex]\frac{L'}{L}=\frac{m(2v)r}{mvr}=2[/tex]
[tex]L'=2L[/tex]
Hence, the angular moment of person will be double when the speed of person is double.
You are in charge of designing your soccer team’s shirts and have narrowed it down to two companies. Master Ink has a flat rate of $35 and charges $12 for each t-shirt printed. Totally Tee has a flat rate of $55 and charges $8 for every t-shirt.
Answers
Answer:
Step-by-step explanation:
Since there official question included with this, here is both equations and the point at which they equal the same amount.
Let x be every t-shirt printed.
Master Ink: 35+12x
Totally Tee: 55 + 8x
The point of which both equals the same (no matter how many shirts you buy) means that Master Ink = Totally Tee, therefore:
35+12x = 55+8x Solve
4x=20
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Answers
Answer:
5
Step-by-step explanation:
The number of cubes that should be on each side of the frame should be considered as the 5.
Calculation of the number of cube:Since Sally used 8 cubes to make this square frame that has 3 cubes on each side.
So here the no of the cube be like
= 8 - 3
= 5
hence, The number of cubes that should be on each side of the frame should be considered as the 5.
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The mean age is now 33.
What is the age of the person who entered the room?
Answers
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In statistics, in addition to the mode and median, the mean is one of the measures of central tendency. Simply put, the mean is the average of the values in the given set. It indicates that values in a particular data set are distributed equally. The three most frequently employed measures of central tendency are the mean, median, and mode. The total values provided in a datasheet must be added, and the sum must be divided by the total number of values in order to determine the mean. When all of the values are organized in ascending order, the Median is the median value of the given data. While the number in the list that is repeated a maximum of times is the mode.
So According to the question, the Mean of 5 people in a room =26
When a person enters the room mean age becomes = 33
The sum of their age is = 5*6 =130
when other persons enter the room means the total person becomes =6
and the sum of their age after another person enters the room= [tex]x+130[/tex]
where x is the age of the other person entering the room.
so, mean = 33= (130+x)/6
then, 130+x=6*33
And,130+x=198
so,x=198-130 =68
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Answers
Answer:
$0.70
Step-by-step explanation:
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Best of Luck!
Answer:
20 pencils will cost $0.70.
Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
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PLEASE HURRY!!!!!!!
What is the scale factor of this dilation?
Mark this and return
Save and Exit
Next
Submit
Answers
Answer:
3
Step-by-step explanation:
The scale factor of the dilation is 3
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Answer:
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Step-by-step explanation:
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