Enlarge shape A by scale factor 4 with centre of enlargement (-2, 2).
8
7
6
5
4
(-3, 3)
(-1,3)
A.
N
(-3, 1)
(-1,1
+
-8
-1
-6
at
-3
-2
-1
+
4
2
3
5
6
8
-1
-2
-3
-4
-5 +
-6
-7 +
-8
What are the coordinates of the vertices of the image?
Answers
Answer:
(-6, 6), (2, 6), (-6, -2), (2, -2)
Step-by-step explanation:
Unfortunately, you can't just multiply the coordinates of the corners by 4. That works if the center of the enlargement is the origin, (0, 0). So you have to do this enlargement in 3 steps for each of the corner points.
Step 1 Move the point right 2 units and down 2 units [tex](x,\,y) \to (x+2,\,y-2)[/tex].
The reason for this step is that this is what you do to move the center (-2, 2) to (0, 0).
Step 2 Multiply the new coordinates by 4.
Step 3 Move the new point left 2 units and up 2 units [tex](x,\,y) \to (x-2,\,y+2)[/tex].
Example: using the upper-left corner (-3, 3)...
Step 1 [tex](-3,\,3) \to (-1,\,1)[/tex]
Step 2 [tex](-1,\,1) \to (-4,\,4)[/tex]
Step 3 [tex](-4,\,4) \to (-6,\,6)[/tex]
Repeat the process with the other three corners.
The coordinates of the vertices of the image is A'(-6, -2), B'(-6, 6), C'(2, -2) and D'(2, 6)
What is dilation?
Dilation is the increase or decrease in the size of a figure by a scale factor of k.
The vertices is at A(-3, 1), B(-3, 3), C(-1, 1) and D(-1, 3). The figure is enlarge by a scale factor 4 with centre of enlargement (-2, 2). Hence:
A' = (4(-3-(-2)) + (-2), 4(1 - 2) + 2) = (-6, -2)
B' = (4(-3-(-2)) + (-2), 4(3 - 2) + 2) = (-6, 6)
C' = (4(-1-(-2)) + (-2), 4(1 - 2) + 2) = (2, -2)
D' = (4(-1-(-2)) + (-2), 4(3 - 2) + 2) = (2, 6)
The coordinates of the vertices of the image is A'(-6, -2), B'(-6, 6), C'(2, -2) and D'(2, 6)
Find out more on dilation at: https://brainly.com/question/10253650
Related Questions
I’ll have a zoom comment down below for the info lol :))
Answers
Answer:
lol ok
Step-by-step explanation:
4, 11, 6, 9, 23, 34, 6, 19
What is the median for this set of numbers?
ОА 6
O
B. 10
Oc 14
O D. 16
Answers
Answer:
the answer is c
Step-by-step explanation:
Answer:
Hi! The answer to your question is B. 10
Step-by-step explanation:
[tex]4,6,6,9,11,19,23,34[/tex]
[tex]= 10[/tex]
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
Pleaseee help in 2 hours helpppp meeee
Answers
Answer:
C
Step-by-step explanation:
y = mx + b
Adding by three each time so m is 3
B is 2 since that is what y is when x equals 0
So it is 3x + 2
Answer:
C
Step-by-step explanation:
Hi,
We know from the table that wherever x is 0 that is the y-intercept. So, in the table, when x is 0, y is 2. The y-intercept is 2.
Now, the slope. We can tell that as x is being added by 1, y is being added by 3. The slope is 3.
So, your line is y = 3x + 2
C is your correct answer.
I hope this helps :)
Is a lightening bolt a polygon
Answers
Answer:
Yes, because it is a closed shape with straight lines.
what is the use of yellow card in a football match
Answers
Answer:
The Yellow card is used as a warning as a result of the actions of a player on the field
HELP DUE IN 15 MINS!
If a regular polygon has an interior angle of 160°, how many sides does the regular polygon have?
n =??
Answers
Answer:
n = 18Step-by-step explanation:
Sum of interior angles of a polygon:
(n - 2)180 = 160n180n - 360 = 160n20n = 360n = 18What is the minimum unit cost? Do not round your answer.
Answers
Consider the equation below 4(x-4)+6x=14
Answers
Answer:
x = 3
Step-by-step explanation:
Given
4(x - 4) + 6x = 14 ← distribute and simplify left side
4x - 16 + 6x = 14
10x - 16 = 14 ( add 16 to both sides )
10x = 30 ( divide both sides by 10 )
x = 3
Olivia and Isabella each earn d dollars for each dog she walks. One day, Olivia walks 6 dogs and gets $8 in tips. That same day, Isabella walks 9 dogs and gets $12 in tips.
a. Olivia writes 6d + 8 + 9d + 12 to represent the amount
they earn together. Isabella writes 5(3d + 4). Are their
expressions equivalent? Show your work.
Answers
Answer:
Yes they are equivalent, both equations equals [tex]15d+20[/tex]
Step-by-step explanation:
We first simplify Olivia's equation
[tex]6d + 8 + 9d + 12[/tex]
1. we combine like terms in the equation: [tex]6d + 8 + 9d + 12[/tex]
[tex]6d+9d[/tex]
[tex]8+12[/tex]
[tex]15d+20[/tex]
Now we simplify Isabella's
[tex]5(3d + 4)[/tex]
1. we do distributive property
[tex]5*3d[/tex]
[tex]5*4[/tex]
[tex]15d+20[/tex]
If you have any quesitons feel free to ask
which number represents the probability of an event that is certain to occur?
Answers
Answer:
An event that is certain to happen has a probability of 1. An event that cannot possibly happen has a probability of zero. If there is a chance that an event will happen, then its probability is between zero and 1
Step-by-step explanation:
(Factorize): x^2 + 4x + 4 - 9y^2
Answers
Answer:
x²^2 + 4x + 4 - 9y²=(x+2-3y) (x+2-3y)
Step-by-step explanation:
hello :
x²+4x+4 = x²+2(2x)+2²=(x+2)² use identity : (a+b)² = a²+2ab+b²
( x² + 4x + 4) - 9y² = (x+2)²-(3y)² = (x+2-3y) (x+2-3y) use identity :
a²-b² =(a-b)(a+b)
Find the supplementary angle of 126.1 degrees
Answers
Answer:
53.9
Step-by-step explanation:
:)
Mr. Morris deposits $3,000 into a savings account that compounds annually by 16%. If 2 years
pass, how much money does Mr. Morris have in his savings account?
Answers
Answer:
$4036.8
Step-by-step explanation:
Given data
Principal= $3,000
Rate=16% = 0.16
Time= 2 years
The expression for the compound interest is
A=P(1+r)^t
substitute our data into the expression to solve for A
A=3000(1+0.16)^2
A=3000(1.16)^2
A=3000*1.3456
A=$4036.8
Hence the savings after 2 years is $4036.8
You decide to buy a new camera for $178.50. It is on sale for 15% off.
If you happen to attend John Paul Jones Intermediate School, you get an extra
33% off. Find the final price.
Answers
Answer:
$85.68 is the final price
Step-by-step explanation:
Add 15% and 33% to get 48%
48% of $178.50 is $85.68
Sal is tiling his entryway. The floorplan is drawn on a unit grid. Each unit length represents 1 foot tile cost $1.25 per square foot. How much will sell pay to tile his entryway round your answer to the nearest cent
Answers
Answer: Sal will pay $77.78 to tile his entryway
Step-by-step explanation:
The image of the question is attached below.
Given each unit length = 1 foot
Tile cost per square feet = $1. 65
To find the area, split the floor shape into two shape.
One is trapezoid and the other is parallelogram.
Let's count the grid given.
The parallels sides of trapezoid are 7 ft and 4 ft, height is 7 ft.
The base and height of the parallelogram are 4 ft and 4 ft respectively.
Area of the trapezoid
Area of the trapezoid = 27.5 sq.ft
Area of the parallelogram = base × height
= 4 ft × 4 ft
Area of the parallelogram = 16 sq. ft
Total area = 27.5 sq. ft + 16 sq. ft
= 43.5 sq. ft
Cost of area per sq. ft = $1.65
Cost of area 43.5 sq. ft = 43. 5 × 1.65
= $71.775
= $71.78
Hence Sal will pay $71.78 to tile his entryway.
3 (3x+5)=2 (2x-5) solve for x
Answers
Answer:
-5
Step-by-step explanation:
3(3x + 5) = 2(2x - 5)
9x + 15 = 4x - 10
9x - 4x = -15 - 10
5x = - 25
x = -5
Here’s the steps:
3(3x+5)=2(2x-5)
Distribute
9x+15=4x-10
Subtract 4x from each side
5x+15=-10
Subtract 15 from each side
5x=-25
Divide each side by 5
x=-5
The value of a car over a period of 8 years is linear.
Based on the table provided, which statement about the value of the car is true?
A.The initial value of the car is $17,000, and it increases by $750 every year.
B.The initial value of the car is $17,000, and it decreases by $750 every year.
C.The initial value of the car is $18,500, and it increases by $750 every year.
D.The initial value of the car is $18,500, and it decreases by $750 every year.
help please
Answers
I guess A i don't know hope the answer is correct
When you fold a piece of a piece of paper in half, the thickness of the folded piece is twice the thickness of the original piece. A piece of copy paper is about 0.1 mm thick.
Part 1
How thick is a piece of copy paper that has been folded in half 7 times?
The piece of paper is about
1.28
cm thick after being folded 7 times.
Part 2 out of 2
Suppose that you could fold a piece of copy paper in half 12 times. How thick would it be? Write your answer in centimeters.
The piece of paper is about
cm thick after being folded 12 times.
Answers
Answer:
Part A: 6.4 MM Part B: 20.48 CM
Step-by-step explanation:
Every time the paper is folded, the thickness increases by a multiple of 2. This means that this is a gerometric Sequence, since there is a mulitplyer, or ratio, value.
Al is the first value in the seqence so,
A1 =0.1
r is the ratio multiplyer since each fold dubles the thickness the multiplier is 2.
r=2
Part A
The Thickness of the paper folded 7 times is 6.4 mm
Part B
The Thickness of the paper folded 12 times is 204.8mm
Convert this value into centimeters divide it by 10. So the final answer is 20.48 cm
The theoretical thickness of the piece of paper is not achievable in reality.
What is the geometry of a piece of paper?The geometry of a piece of paper is a two-dimensional flat shape that can be described as a rectangle or square.
In geometry, a rectangle is a quadrilateral with four right angles (90-degree angles) and opposite sides that are equal in length.
A square is a special case of a rectangle, where all four sides are equal in length.
We have,
It's important to note that it is not possible to fold a piece of paper in half more than about 7-8 times due to the physical limitations of the paper's size and thickness.
However, we can still calculate the theoretical thickness of a piece of copy paper that has been folded 12 times.
Part 1:
When a piece of paper is folded in half once, the thickness doubles, so the thickness after one fold is:
0.1 mm x 2 = 0.2 mm
After the second fold, the thickness doubles again:
0.2 mm x 2 = 0.4 mm
We can see that with each fold, the thickness doubles.
So after 7 folds, the thickness would be:
0.1 mm x [tex]2^7[/tex] = 12.8 mm
Converting to centimeters, we get:
12.8 mm = 1.28 cm
Part 2:
Using the same doubling logic, we can find the theoretical thickness of a piece of paper folded 12 times:
0.1 mm x [tex]2^{12}[/tex] = 40.96 mm
Converting to centimeters, we get:
40.96 mm = 4.096 cm
However, as mentioned earlier, it is not possible to fold a piece of paper in half more than about 7-8 times due to physical limitations.
So this theoretical thickness is not achievable in reality.
Thus,
The theoretical thickness of the piece of paper is not achievable in reality.
Learn more about geometry of paper here:
https://brainly.com/question/30739137
#SPJ3
Find the area of the circle. Round your answer to the nearest hundredth
Answers
Answer:
7.1
Step-by-step explanation:
the radius is half of that or 1.5
soooooooo
A=π*1.5*2
if a sqaure has a side length of 4.25cm squared whats the side legnth
Answers
Answer:
its about 18 or 18.1 or 18.0625
Step-by-step explanation:
4.25 squared =18.0625
Answer:
I'm not 100% sure but the answer: 2.0615
Step-by-step explanation:
We need to find the square root of 4.25, which is equal to = 2.0615.
You can use a calculator to check that, just in case.
Hope this helped :)
Solve for X. Enter the solutions from least to greatest.
(x – 7)^2-25 = 0
Answers
(x-7)^2=25
Take the square root from both sides
x-7=5
X= 12 .
Answer:
2,12
Step-by-step explanation:
khan
Leon is at the lake with his friends. It costs $8.50 to rent a paddleboat for a
1/2 -hour ride. Together, Leon and his friends have $25.50. How long can they ride in a paddleboat if they spend all of their money?
Answers
Answer:
~1.47 hours or ~88.2 mins
Step-by-step explanation:
It costs $17 an hour, 25.5/17 = ~1.47
which problem shows a correct way to divide 7,392 by 24?
Answers
Answer:
24Г7392 is the correct answer
i really need someone to answer this
A tv has a listed price of 747.98 before tax. If the sales tax rate is 8.25% find the total cost of the tv with sales tax included. Round your answer to the nearest cent as necessary
Answers
Answer:
809.69
Step-by-step explanation:
747.98(.0825)=61.708
747.98+61.708=809.688
For Halloween, Ruth wears a monocle that has a radius of 3 centimeters. What is the monocle's diameter?
Answers
Answer:
it is 6 centimeters
Step-by-step explanation:
3*2=6
2*3= 6cm
Answer: Diameter is 6cm
????
Answers
Answer:
Part A: A
Part B: [tex]x+18=8(2x-6)-18x[/tex]
Step-by-step explanation:
When in Step 1, the equation is multiplied by two, the second term, -9x, is not doubled as well. Thus the answer above for Part B, is what Step 1 should look like.
Finishing evaluating the problem:
[tex]x+18=16x-48-18x[/tex]
[tex]x+18=-2x-48[/tex]
[tex]3x=-66[/tex]
[tex]x=-22[/tex]
QED
Which of the following word problems
can be
solved using the inequality 4x + 16 > 48?
Select all that apply.
Answers
Answer:
ok i dont know want answer choices there are but imma put my steps
Step-by-step explanation:
4x+16>48
4x+16-16>48-16
4x>32
4x/4=32/4
x>8
Giving brainlist to whoever answers
Answers
Answer:
7/12
Step-by-step explanation:
lemon is 5/12
lime is 7/12
HELP HELP WITH MY MATH PLS
Answers
Answer:
the answer is 9/10 i think
f(x) = (x + 1)(x - 3)(x-4)