Dilation is a process of changing the size of an object or shape by decreasing or increasing its dimensions by some scaling factors.
What is Dilation ?Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape. But there is a difference in the size of the shape. A dilation should either stretch or shrink the original shape. This transformation is expressed by the term “scale factor.The basic formula to find the scale factor of a dilated figure is: Scale factor = Dimension of the new shape ÷ Dimension of the original shape.A dilation (similarity transformation) is a transformation that changes the size of a figure. It requires a center point and a scale factor , k . The value of k determines whether the dilation is an enlargement or a reduction. If |k|>1 , the dilation is an enlargement. If |k|<1 , the dilation is a reduction.To learn more about Dilation refers to:
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Dilation is the practice of altering an object's or shape's size by either enlarging or decreasing its dimensions by a certain amount.
Dilation: What is it?A transform called dilation is used to alter an object's size. Dilation is a technique for enlarging or contracting objects.
The result of this transformation is an image that has the same shape as the original. A stretched figure can be enlarged by using given formula:
Scale is equal to the difference between the original and new shapes' sizes.
Stretch transformations (similarity transformations) enlarge or shrink shapes. You require a scale factor of k and a central point. Depending on the value of k, the expansion either grows or shrinks. Elongation is elongation for |k| > 1. If 1 is stretched, for |k|.
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Katrina drinks 0.5 gallons of water per day. Which expression shows how to find the number of cups of water she
drinks in a week?
There are 16 cups in a gallon.
Answer:
Katie drinks 56 cups (3.5 gallons) of water in one week.
Step-by-step explanation:
16 - 0.5 (1/2) = 0.5 (1/2)
16 - 1/2 = 8
8 x 7 days (1 week)
= 56 cups
Katie drinks 56 cups (3.5 gallons) of water in one week.
Write the equation of the line.
Could someone please tell me what this means? Like is it a/6 - 1/6?
Answer:
Yes, this is similar to [tex]\frac{a}{6} - \frac{1}{6}[/tex]
Answer:
yes
Step-by-step explanation:
Given
[tex]\frac{a-1}{6}[/tex]
Then each term on the numerator is divided by 6, that is
= [tex]\frac{a}{6}[/tex] - [tex]\frac{1}{6}[/tex]
Enter the correct answer in the box.
What is the standard form of function f?
[tex]f(x)=4(x+6)^2+5[/tex]
Substitute numerical values into the equation for a, b, and c.
[tex]f(x)=ax^{2} +bx+c[/tex]
Answer:
f(x) = 4x² + 48x + 149
Step-by-step explanation:
Given
f(x) = 4(x + 6)² + 5 ← expand the factor using FOIL
= 4(x² + 12x + 36) + 5 ← distribute parenthesis by 4
= 4x² + 48x + 144 + 5 ← collect like terms
= 4x² + 48x + 149 ← in standard form
Answer:
Have a great rest of your day ;)
Step-by-step explanation:
How many liters of 70% acid solution must be mixed with a 15% acid solution to get 550L of a 60% acid solution
9514 1404 393
Answer:
450 L
Step-by-step explanation:
Let x represent the number of liters of 70% solution needed. Then the amount of 15% solution needed is (550-x), and the total amount of acid in the mixture is ...
0.70x + 0.15(550-x) = 0.60(550)
0.55x + 82.5 = 330 . . . . simplify
0.55x = 247.5 . . . . . . . . . subtract 82.5
x = 450 . . . . . . . . . . . divide by 0.55
450 liters of 70% acid solution must be used.
simplify (8x^3 + 7x^2 - 3x + 6) + ( -2x^2 - 5x + 4 )
Answer:
hello! :) have a good day!
8x³ + 5x² − 8x + 10
7.1 added to a number equals 10.3?
The answer is 3.2. If you subtract 10.3 and 7.1, then you get 3.2.
In an arithmetic sequence, a17 = -40 anda28 = -73. Explain how to use this information to write a recursive formula for this sequence.
Answer:
–73 – (–40) = –33.
Step-by-step explanation:
Help me find the slope to 0,0 and 6,1
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Slopes and gradient.
slope, m = y2-y1/ x2-x1
hence, m = 1-0/ 6-0
m = 1/6
hence slope = 0.166
I really need someone's help please!
Answer:
Felipe subtracted 3x from both sides of the equation.
Answer:
-2
Step-by-step explanation:
first, you will subtract the 2x from 3x then take 6 away from - 8 so it would be 8 and subtract it from 6 because of where the = is and get your answer
graph x<2/9 on a number line
Answer:
The line should begin on the right side 2 dashes (the small lines tht go throught the number line. There are 9 dashes between each whole number.)
Then the line should go left because it says x is less than 2/9. (which is right)
The line segment you should choose is the one with the open circle with an arrow going to the left.
<---O (looks like this lol.)
please help me , I am so confused my head is hurting from this problem...
Answer:
For the first one you could do 1 and 3/5 for the second one you ca do 2/5 3/5 and 3/5 again to get the answer
Step-by-step explanation:
1 + 3/5 = 1 3/5
2/5 + 3/5 + 3/5 = 1 3/5
6 74/500 as a decimal (giving another chance for brainliest)
Answer:
6.148
Step-by-step explanation:
I need a lot of help please ):
And if u don’t know the answers do not comment anything because i'm really looking for help!
Answer:
The answer are
CX=10/3
ML=76
Step-by-step explanation:
NUMBER 4
We know that the averages are divided 1 to 2 by the base
[tex]then \: \\ xc = \frac{1}{3} xf \\ = \frac{1}{3} \times 1 0 = \frac{10}{3} [/tex]
NUMBER 5
[tex]ml = \frac{2}{3} mr \\ then \\ 10x - 4 = \frac{2}{3} (12x + 18) \\ 30x - 12 = 24x + 36 \\ 6x = 48 \\ x = 8 \\ then \\ ml = 10 \times 8 - 4 = 76[/tex]
A square is cut diagonally into two equal parts. If each part has an area of 50 cm^2, then what is the perimeter of each part?
I tried it isn't 30 cm
Answer:
30cm
Step-by-step explanation:
Given data
When are square is cut diagonally into two parts
The resulting shape is a triangle
hence the area of the square = 50+50 = 100cm^2
The length of each side of the square = √100= 10cm
likewise the diagonal of the square = 10cm
Hence the perimeter of the resulting triangle= 10+10+10= 30cm
Paki answer po fi d the value of k mentally
Answer:
We have 5 equations where we want to find the value of k. To find the value of k first solve the term that is multiplicating k, and when we know the term, we can divide both sides to isolate k in one side of the equation.
1) 30 = k*(15/4)
To solve this, we can just multiply by (4/15) in both sides, so we get:
30*(4/15) = k*(15/4)*(4/15)
(30/15)*4 = k
2*4 = k
8 = k
2) 360 = k*√36
Here you need to remember that:
6*6 = 36
then √36 = 6
We could just replace that in the equation:
360 = k*6
now let's divide both sides by 6.
360/6 = k*6/6
60 = k
3) 64 = k*(4²)*(2²)
Here we need to remember that:
4² = 16
2² = 4
We can replace these in the equation to get:
64 = k*16*4
and 4*16 = 64
then:
64 = k*64
Now let's divide both sides by 64.
64/64 = k*64/64
1 = k
4) 100 = k*(25)*(4)
Here we know that 4*25 = 100
So replacing that in the equation we get a similar expression to the above one.
100 = k*100
Now let's divide both sides by 100
100/100 = k*100/100
1 = k
5) 6 = k*3
Here just divide both sides by 3.
6/3 = k*3/3
2 = k
Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio. A(−9, −1), B(11, 9); 3 to 2
Answer:
(-2.5, 7.5)
Step-by-step explanation:
Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio. A(−9, −1), B(11, 9); 3 to 2
Using the formula for calculating the mid point segment expressed as;
X = ax1+bx2/a+b
Y = ay1+by2/a+b
Given
x1 = -9, y1 = -1, x2 = 11, y2 = 9, a = 3 and b = 2
Substitute
X = 3(-9)+2(11)/2
X = -27+22/2
X = -5/2
X = -2.5
Similarly
Y = 3(-1)+2(9)/2
Y = -3+18/2
Y = 15/2
Y = 7.5
Hence the required coordinate point is (-2.5, 7.5)
What is the change in temperature from -8°F to 14°F?
-6°F
6°F
0
-22°F
22°F
how many times can 1/4 go into 6
Answer:
24 times
Step-by-step explanation:
Answer:24
Step-by-step explanation:
Which side lengths form a right triangle?
Answer:
B
Step-by-step explanation:
1^2+8^2=[tex]\sqrt 65\\[/tex]
(sat prep) find the value of x
Answer:
120 degrees
Step-by-step explanation:
RSM boi
but you actually have to get the values of the angles on the other side so
180-70=110
180-50=130
pretty simple from there
Answer:
120 deegress
Step-by-step explanation:
x + y = z
70 + 50 = x
x = 50+70 = 120
2 A town park has two biking trails. Marsh Trail is 5 miles long. Woodland Trail is
2 miles long. How much longer is Marsh Trail than Woodland Trail?
Show your work.
How do I show my work and what is the answer
Answer:
25/10
Step-by-step explanation:
Make the fractions improper by multiplying the whole number by the denominator and then adding the numerator (if this makes sense).
This makes 5x10=50+3=53/10
Do the same for the second fraction. 2x5=10+4=14/5
Then make the denominators the same, and in this case all you need to do is multiply both sides of 14/5 by 2, so that makes 28/10.
Now, just take it away.
53/10-28/10=25/10, which can be then simplified into 2 1/2 or 5/2.
The surface area of a rectangular prism is increased by a factor of 16.
By what factor is the volume of the figure increased?
O4
O 8
O 32
O 64
Answer:
C. 32
Explanation:
The square-cube law states that "When an object undergoes a proportional increase in size, its new surface area is proportional to the square of the multiplier and its new volume is proportional to the cube of the multiplier." This means that if the surface area of the cube is increased by a certain amount, the volume of the cube will increase by the cube of that.
Please give Brainliest
Works Cited:
https://en.wikipedia.org/wiki/Square%E2%80%93cube_law#:~:text=The%20square%E2%80%93cube%20law%20can,the%20cube%20of%20the%20multiplier.
The solution is, the volume of the figure increased by factor C. 32 , when The surface area of a rectangular prism is increased by a factor of 16.
What is scale factor?A scale factor is when you enlarge a shape and each side is multiplied by the same number. This number is called the scale factor. Maps use scale factors to represent the distance between two places accurately.
here, we have,
The square-cube law states that "When an object undergoes a proportional increase in size,
its new surface area is proportional to the square of the multiplier and its new volume is proportional to the cube of the multiplier.
" This means that if the surface area of the cube is increased by a certain amount, the volume of the cube will increase by the cube of that.
Hence, The solution is, the volume of the figure increased by factor C. 32 , when The surface area of a rectangular prism is increased by a factor of 16.
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The following data show the scores Gina obtained on 12 IQ tests:
93, 83, 74, 74, 83, 92, 93, 94, 90, 87, 83, 86
The box plot below represents these data:
74
76
78
80
82
84
86
88
90
92
94
96
98
Which of the following is shown incorrectly in the box plot? (5 points)
Оа
Median
Ob
Lower quartile
ос
Upper quartile
Od
Maximum value
Answer:
Median
Step-by-step explanation:
74,83,87,90,92,93,94
Add them together then divide by how many are there to get the median. Then check the data.
what is m
A.
B.
C.
D.
Answer: .B.
Step-by-step explanation
PLEASE PLEASE HELP HELP PLEASE
Answer:
1. product 2. difference 3. quotient 4. sum 5. dividend
Please please help I will give brainliest
Answer:
67
4*4*4=64
64+3=
67
Your teacher asked your class to describe a real world situation in which a y-intercept is 100 and the slope is 5. Your partner gave the following description: My younger brother originally had 100 small building blocks, but he has lost 5 of them every month since. What mistake did your partner make?
Answer:
He should have said that his small brother had 100 small building bricks, but lost 5 in total now.
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Question Help
in a race, 16 out of the 25 bicyclists finished in less than 30 minutes. What percent of bicyclists
finished the race in less than 30 minuten Write an equivalent fraction to find the percent
Answer:
[tex]\frac{16}{25}[/tex] x [tex]\frac{4}{4}[/tex] = [tex]\frac{64}{100}[/tex] = 64%
Step-by-step explanation:
Half of Ethan string is equal to 2/3 of Kayla stream the total length of the string is 10 feet how much longer is Ethan string Kayla string
Answer:
10/7 feet
Step-by-step explanation:
Let e = Ethan
k = Kayla
The following equations can de derived from the equation :
1/2 e = 2/3k
multiply both sides of the equation by 2
e = 4/3k --- 1
e + k = 10 --- 2
Substitute for e in equation 2
4/3k + k = 10
7/3k = 10
multiply both sides of the equation by 3/7
k = 30/7
Substitute for k in equation 1
e = (4/3) x 30/7 = 40/7
difference in length = 40/7 - 30/7 = 10/7