What is true about the dilation?
On a coordinate plane, the image rectangle has points (0, 0), (0, 8), (9, 8), (8, 0). The pre-image has points (0, 0), (0, 2.5), (3, 2.5), (3, 0).
It is a reduction with a scale factor between 0 and 1.
It is a reduction with a scale factor greater than 1.
It is an enlargement with a scale factor between 0 and 1.
It is an enlargement with a scale factor greater than 1.
answer my question pls
Answers
Answer:
The answer is D.Step-by-step explanation:
This is because only a reduction can be 0-1, as it will shrink, while if you multiply a number by a number greater than 1, is will largen.
The dilation is an enlargement with a scale factor greater than 1. Thus, the correct option is D.
How does dilation affect length, area, and volume of an object?(SCALING ZOOMING SIMILAR FIGURES)
Suppose a figure (pre image) is dilated (dilated image) by scale factor of k.
So, if a side of the figure is of length L units, and that of its similar figure is of M units, then:
L = k × M
where 'k' will be called as scale factor.
The linear things grow linearly like length, height etc.
The quantities which are squares or multiple of linear things twice grow by square of scale factor. Thus, we need to multiply or divide by k² to get each other corresponding quantity from their similar figures' quantities.
So area of first figure = k² × area of second figure
Similarly, Volume of first figure = k³ × volume of second figure.
It is because we will need to multiply 3 linear quantities to get volume, which results in k getting multiplied 3 times, thus, cubed.
As it can be seen in the image below that the red rectangle is the pre-image therefore, it is the original figure.
The blue rectangle is the image of the original figure.
Now, as it can be seen that the pre-image is a smaller rectangle, while the image is a large rectangle, therefore, the dilation made is of enlargement.
Also, it can be observed that the ratio of any corresponding sides of the two rectangles is more than 1.
Hence, the dilation is an enlargement with a scale factor greater than 1. Thus, the correct option is D.
Learn more about Dilation:
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Related Questions
A number, x, is 4 times another number, y. The difference
between the two numbers is 18. What is the value of the
larger number?
Answers
Answer:
The value of the larger number is
[tex]x=24[/tex]
Step-by-step explanation:
A number, x, is 4 times another number, y.
[tex]x=4y[/tex] --------- (1)
The difference between the two numbers is 18.
[tex]x-y=18[/tex] -------(2)
Re-arranging equation (2) yields
[tex]-y=18-x\\y=x-18[/tex]------------- (3)
Substitute y=x-18 in equation (1)
[tex]x=4 (x-18)[/tex]
[tex]x=4x-72\\x-4x=-72[/tex]
[tex]-3x=-72\\x=\frac{72}{3}\\x=24[/tex]
Substitute x=24 in equation (3)
[tex]y=24-18\\y=6[/tex]
Please help me would be very appreciated.
Answers
Answer:
C
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!!!!
Answers
Answer:
A
Step-by-step explanation:
A
solve the equation by completing the square.
4x(x + 6) = -40
Answers
Answer:
x = -6+-odmocnina36-40/2
Step-by-step explanation:
Answer:
x=10
Step-by-step explanation:
10 times -4 is -40 since if you multiply a negative number by a positive you get a negative
What is the Slope of the line containing points Q(-4,-1) and T(0, 9)?
Answers
Answer:
kisses -A
Step-by-step explanation:
Answer: 5/2
Step-by-step explanation: Use the slope formula
Gil is reading a book that has 276 pages. on Monday, he read some pages, On Tuesday, he read twice as many pages than Monday. He plans to read 180 pages on Wednesday to finish the book.
variable-
equation-
justification-
Answers
Equation
276= x + 2x + 180
276= 3x+180
X=32
Justify:
He read 2 times the amount of pages making it 2x from the original. He reads 180 to finish the book making the equation done.
plzzz guys help I'm so confused
At the beginning of a population study, a city had 320,000 people. Each year since, the population has grown by 4.8%. Let t be the number of years since start of the study. Let y be the city's population. Write an exponential function showing the relationship between y and t.
Answers
Answer:
y = 320,000 ( 1.048 ) ^x
x = number of years
(the ^ before the x symbolizes "to the power of," but I can't do that on my keyboard)
Step-by-step explanation:
formula i used:
A = amount that you start with
t = amount of years / time
%increase: you must convert your percent (4.8%) to a decimal (0.048)
A ( 1 + %increase ) ^t
Answer:
y = 320,000(1.048)^t
Step-by-step explanation:
4.8% = 0.048.
The population grows by 1.048 per year.
The required equation is:
y = 320,000(1.048)^t
pam buys the following items: a shirt that costs 11.99, pants that cost 23.98, and a belt that costs 9.95. she has a coupon for 20% off the entire purchase. About how much will the three items cost?
Answers
Answer:
$9.18
Step-by-step explanation:
45.92/20%
=$9.18
Answer:
47
Step-by-step explanation:
1.2^a x 2^5 =2^0
a=?
Answers
Answer:
One thing that is unclear here is whether the "1." at the start is part of the number "1.2" or if it is an enumeration of the question, and the base raised to the exponent is in fact 2.
The rest of the equation seems to indicate the latter, so we'll solve both:
If 1.2ᵃ ₓ 2⁵ = 2⁰, then a is approximately equal to -19.009.
If as I'm guessing is the correct question, 2ᵃ ₓ 2⁵ = 2⁰, then a is equal to -5.
Step-by-step explanation:
Interpretation #1:
[tex]1.2^a \times 2^5 = 2^0\\1.2^a \times 32 = 1\\1.2^a = \frac{1}{32}\\log_{1.2} \frac{1}{32} = a\\a \approx -19.009[/tex]
Interpretation #2:
Here the question is much simpler, as we need only add the exponents when adding and dividing:
[tex]2^a \times 2^5 = 2^0\\2^a = 2^0 \div2^5\\2^a = 2^{-5}\\a = -5[/tex]
Help me pleaseee! Thank you! :)
Answers
Answer:
C.) 32
Step-by-step explanation:
2^5 = 32
2^5=32
Hope this helps have a good day! :)
which linear inequality is represented by the graph? O y<2/3x+3 (A)
O y>3/2x+3 (B)
O y>2/3x+3 (C)
O y<3/2x+3 (D)
Answers
Answer:
C y>2/3x+3
Step-by-step explanation:
Use y=mx+b format. The B is the y-intercept. From the y-intercept (3), go up two then to the right 3. That gives you the slope, or mx which is 2/3. The area shaded is above so it would be the greater than symbol.
Step by step explanation
Answers
Answer: x = 4 and y = -3
Step-by-step explanation:
2x + 4y = -4
2x = -4 - 4y
x = -2 - 2y
Now that we have solved the first equation for x, we plug (-2 - 2y) into the other equation in place of x and then solve for y.
3(-2 -2y) + 5y = -3
-6 - 6y + 5y = -3
-y = 3
y = -3
Now that we know y, we plug it into the original equation and solve for x.
2x + 4(-3) = -4
2x + -12 = -4
2x = 8
x = 4
You can check the answer by plugging both x and y into either of the original equations.
maria had $150 in gift certificates to use in a record store.she bought fewer than 20 recordings.each tape cost $5.95 and each cd cost $8.95. how many of each type of recordings might she have bought(it has to be graphed so i need points to plot)
Answers
Answer:
keep the canon digital marketing. this was not able the first one. it has to go on, I will not
All squares are also rhombuses.
True or false
Answers
Answer:
true
Step-by-step explanation:
Cause if you draw a square and turn it, its gone be a rhombus
Answer:
True
Step-by-step explanation:
Whoever answer this question with explanation gets marked the brainiest
Answers
Step-by-step explanation:
Classroom A has n students.
Since Classroom B has 4 less students, they have (n - 4) students.
Also Classroom C has double the students in B, so they have 2(n - 4) students.
We have A + B + C = 40.
=> n + (n - 4) + 2(n - 4) = 40
=> n + n - 4 + 2n - 8 = 40
=> 4n - 12 = 40
=> 4n = 52, n = 13.
Hence there are 13 students in Classroom A.
Help!!! I need this ASAP!!!!
Answers
Answer:
im not too sure but i think the answer is c
Step-by-step explanation:
The two basic kinds of rulers are______
Answers
My son takes trumpet lessons. He has a choice of plans. Plan A requires that he pay a $210 annual fee and then pay $10 for a lesson. Plan B does not have a fee, but you pay $25 for a lesson. Write an equation to find out for how many lessons Plan A would equal Plan B if x = number of lessons?
Answers
Answer:
10x + 210 = 25x
Step-by-step explanation:
Plan A
Annual fee = $210
Payment per lesson = $10
If 'x' lessons to be taken, total cost = 10x + 210
Plan B
Annual fee = 0
Payment per lesson = $25
Total cost for 'x' lessons = $25x
Equation for the equal payments in both the plans for 'x' lessons,
10x + 210 = 25x
A truck is carrying cranberry juice, grape juice, and pineapple juice bottles in a ratio of
7 : 2 : 3. If there are 40 grape juice bottles, then how many juice bottles in total are there?
Answers
Answer:
140
Step-by-step explanation:
7- Cranberry
2:Grape = 40 so 40/2 = 1
3:Pineapple
1= 20 juices
7+2+3 is 12
20 x 12 is 140
7+2+3=12, so multiply that by a factor of 20.
20*12=240 total juice bottles is the answer
What is the image point of (-7,7) after a translation right 1 unit and down 3 units?
Answers
Answer:
(-6, 4)
Step-by-step explanation
translation rule: (x+1,y-3)
(-7+1, 7-3)
(-6, 4)
45 point question Help Asap pic below Math
Answers
Answer:
i think 5
Step-by-step explanation:
Need help it’s really hard
Answers
Given:
[tex]OA=3[/tex] units
[tex]OA'=9[/tex] units
To find:
The scale factor of the dilation.
Solution:
From the given figure it is clear that the center of dilation is point O. Point A' is the image of point A. So,
[tex]\text{Scale factor}=\dfrac{OA'}{OA}[/tex]
Putting the given values, we get
[tex]\text{Scale factor}=\dfrac{9}{3}[/tex]
[tex]\text{Scale factor}=3[/tex]
Therefore, the scale factor of the dilation is 3.
PLEASE I BEG OF YOU PLEASE HELP ME PLEASEE
Answers
Answer:
hmmm this is too hard for me.
Step-by-step explanation:
Please help this is due tosay
Answers
Which expression shows another way to write 36+16?
419) + 4
4(9+4)
6(6+8)
(6+4)(6+4)
Answers
9+4=13 , 13x4=52
WILL MARK YOU BRAINIEST
Answers
Answer:
11 5/9
Step-by-step explanation:
evaluate. (5.2 + 3) × (6.4 - 1.4)
Answers
Hope this helps ^W^
Skyla wants to buy a massage table to start her spa business. She sees one she wants for $1,200. If she can save $13 a week, how many weeks will it take her to save up for the massage table?
Answers
Answer:
27 because you have to multipli and then divide
Answer:
about 93 weeks
Step-by-step explanation:
divide 1200 by 13 to get your answer which is 92.3076923077 so then you just instead of rounding to 92 you would round to 93 because it would take her more then 92 weeks so the answer would be about 93 weeks
Given △ABC with coordinates A(1, 3), B(4, 5), and C(5, 2), what are the coordinates of △AʹBʹCʹ after the glide reflection described by T⟨−1, 1⟩° Ry-axis?
Answers
Answer:
A' = ( 0,4 )
B' = ( -3,6 )
C' = ( -4,3 )
Step-by-step explanation:
Transformation involves changing the coordinates of a shape.
The coordinates of △ABC after the glide transformation are [tex]A' = ( 0,4 )[/tex], [tex]B' = ( -3,6 )[/tex] and [tex]C' = ( -4,3 )[/tex]
The coordinates of triangle ABC is given as:
[tex]A = (1,3)[/tex]
[tex]B = (4,5)[/tex]
[tex]C = (5,2)[/tex]
The glide reflection is given as: T⟨−1, 1⟩° Ry-axis
So, we start by translating the shape by (x - 1, y + 1).
The coordinate ABC becomes
[tex]A = (1 - 1, 3 + 1) = (0,4)[/tex]
[tex]B = (4 - 1, 5 + 1) = (3,6)[/tex]
[tex]C = (5 - 1, 2 + 1) = (4,3)[/tex]
Next, we reflect the coordinates across the y-axis.
The rule of this reflection is:
[tex](x,y) \to (-x,y)[/tex]
So, we have:
[tex]A' = ( 0,4 )[/tex]
[tex]B' = ( -3,6 )[/tex]
[tex]C' = ( -4,3 )[/tex]
Read more about transformation at:
https://brainly.com/question/1616371
Write an equation to represent the problems below and solve for the missing value:
a) Keith has $15 more than Jay. If Keith has $87, how much money does Jay have?
(Let j represent the amount of money Jay has)
Answers
Answer:
poop=pee
Step-by-step explanation:
j=72
If you solve the problem you get 72 therefore Jay has 72 dollars.