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
Gabriella earns a commission of 6% for every house she sells each month. This month she sold 3 houses totaling $895,000. How much did she earn commission this month?
Answers
Answer:
$53,700
Step-by-step explanation:
Commission earned = percentage commission x total number of houses sold
[tex]\frac{6}{100}[/tex] x $895,000 = $53,700
A line passes through the points (6, 8) and (5,5). What is its equation in slope-intercept
form?
Answers
Answer:
y = 3x -10
Step-by-step explanation:
Use the method [tex]\frac{rise}{run}[/tex].
I took a screenshot of the graph below, as an example of the rise over run method.
3 ÷ 1 = 3
To find the y intercept, count down on the graph until you reach the point where the line crosses.
In this case, the line crossed at -10 on the y-axis.
(Look at the second image)
So plug the numbers into the equation, and then you get y = 3x -10.
A teenager has $20 to spend at the fair. The teenager rides 5 roller coasters and has $13.75 left. Each roller coaster costs the same amount.
How much does each roller coaster cost to ride, in dollars and cents?
Answers
Answer:
Each ride costs $1.25
Step-by-step explanation:
$20 - $13.75 = $6.25
$6.25 / 5 = $1.25
Answer:
1.25 per ride
Step-by-step explanation:
Subtract 13.75 from 20. You get 6.25. Divide 6.25 by 5.
can anyone help me with it?
Answers
HELP ASAP!! What is the midpoint of the segment shown below?
(-1, 5) and (-6, -2)
Answers
Answer:
D) (-7/2 , 3/2)
Step-by-step explanation:
(x1+x2/2), (y1+y2/2)
(-6-1/2),(5-2/2)
(-7/2),(3/2)
Factor 12a - 15b + 6
Answers
Answer:
Hi! The correct answer is 3(4a-5b+2)!
Step-by-step explanation:
~Factor 3 out of 12a-15b+6~
Answer:
3(4a- 5b + 2)
Step-by-step explanation:
Hope this helped!!! :)
i really need help i’m going to fail so answer if you can ! <3
The commission of a sales representative can be modeled by C(x) = 4x -
10, where x is the number of items sold. If the sales representative sales 30
items, how much commission will they earn? *
options:
$20
$5
$120
$110
Answers
Answer:
110
Step-by-step explanation:
you place 30 in the place of X, and it becomes 4×30-10. in PEMDAS, multiplication goes first and 4×30=120. 120-10=110
find the slope from this graph
Answers
Answer:
m (slope) = 664
Step-by-step explanation:
Formula:
m (slope) = y1-y2/x1-x2
m = 16570 - 21226 / 1982 - 1986
= -4,656 / -4
= 664
Ratio Ralph can ride his bike 5 miles in 20 minutes. How many miles can he ride in
an hour and a half if he keeps this pace?
Answers
Answer:
22.5 miles
Step-by-step explanation:
There are 3, 20 minute increments in an hour, and 1 and a half 20 minute increments in half an hour, so, you simply add 3 + 1.5 which equals 4.5.
Then, multiply 5 (miles) by 4.5 to get 22.5 (miles).
Marking brainliest.
Answers
Answer:
UV
Step-by-step explanation:
That's the only one make sense
Isabella's football team lost 2 yards on a running play.
Then they received a 20-yards penalty making them
lose an additional 20 yards.
Write a subtraction expression to represent the change
in yards.
Then write an equivalent addition expression.
What is the team's total change in yards?
Answers
Answer:
A loss of 22 yards
Step-by-step explanation:
(-2)+(-20)=-22
Find the missing sides
and the perimeter
20 miles
23 miles
28 miles
21 miles
Answers
Answer:
i think it is 5
Step-by-step explanation:
GIVING BRAINLY!!! (for correct answer)
Answers
Answer:
C)3
Step-by-step explanation:
this is according to my test
if f(x) = 72(1.25)^x and f(1) = 72(1.25)^1 = 11.25 f(2) = 72(1.25)^2 = ?????????
I need this solved ASAP it is important please help me NO FAKE ANSWERS
Answers
Answer:
f(1)=101.25 and f(2)=112.5
Step-by-step explanation:
f(1) = 72(1.25)^1 = 11.25
f(1)=90=11.25
f(1)=101.25
f(2) = 72(1.25)^2
f(2)=72(1.5625)
f(2)=112.5
Select the procedure that can be used to show the converse of the
Pythagorean theorem using side lengths chosen from 2 cm, 3 cm, 4 cm, and
5 cm.
O A. Knowing that 22 + 32 + 42, draw the 2 cm side and the 3 cm side
with a right angle between them. The 4 cm side will fit to form a
right triangle.
B. Knowing that 22 + 42 < 52, draw the 2 cm side and the 4 cm side
with a right angle between them. The 5 cm side will fit to form a
right triangle.
C. Knowing that 32 +42 = 52, draw the 3 cm side and the 4 cm side
with a right angle between them. The 5 cm side will fit to form a
right triangle.
D. Knowing that 32 + 42 = 52, draw any two of the sides with a right
angle between them. The third side will fit to form a right triangle.
Answers
Answer:
Its C i just took the test and got this right!!!
Step-by-step explanation:
The side 3 cm, 4 cm, and 5 cm will satisfy the Pythagoras equation. Then the correct option is C.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
The converse of the Pythagorean theorem using side lengths chosen from 2 cm, 3 cm, 4 cm, and 5 cm.
The side 3 cm, 4 cm, and 5 cm will satisfy the Pythagoras equation.
5² = 4² + 3²
25 = 16 + 9
25 = 25
The side 3 cm and 4 cm is normal to each other.
Then the correct option is C.
More about the Pythagoras theorem link is given below.
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Abey and Anoki are eating chocolate bars. The bars are the same size. Abey has ! 3 4 ! Left. Anoki has ! 7 8 ! Left. How much chocolate is left altogether?
Answers
Answer:
13/8 of the chocolate will be left altogether.
Step-by-step explanation:
Given that,
Abey and Anoki are eating chocolate bars. The bars are the same size.
Abey left 3/4 of chocolate and Anoki left 7/8 of chocolate.
Left amount = Abey left amount + Anoki left amount
[tex]=\dfrac{3}{4}+\dfrac{7}{8}\\\\=\dfrac{3(2)+7(1)}{8}\\\\=\dfrac{6+7}{8}\\\\=\dfrac{13}{8}[/tex]
Hence, 13/8 of the chocolate will be left altogether.
What is the smallest degree of rotation that will map a regular 15-gon onto itself
Answers
Answer:
13
Step-by-step explanation:
A furniture store is getting ready for a big sale and marking all their prices down by 45%. If one of their items is regularlly priced at $375, what is the sale price?
Answers
Answer:
$206.25
Step-by-step explanation:
Regular price of item = R= $375
Price after 45% off = (1-0.45) x 375
=$ 206.25
A square was altered so that one side is increased by 9 inches in the other side is decreased by 2 inches. The area of the resulting rectangle is 6o in 2 what was the area of the
Answers
Answer:
area of the original square = 36 in²
Step-by-step explanation:
given data
one side is increased = 9 inches
other side is decreased = 2 inches
area of the resulting rectangle = 60 in²
solution
we consider here x as the length of any one side
and
longer side of the resulting rectangle = x + 9
and
the shorter side x - 2
so that area of this rectangle is (s+9) × (s-2) = 60 in²
standard form of equation is x² + 7x - 18 = 60 .....................1
it will be
x² + 7x - 78 = 0
(s+13) (s-6) = 0
so that here x = -13
and x = 6
here we Discard x = -13 because the side length cannot be negative.
so x = 6
and area of the original square = 36 in²
Step by step explanation
Answers
Answer:
[tex]\huge\boxed{\sf x =\frac{7}{2} , y = -3}[/tex]
Step-by-step explanation:
2x + 4y = -4 ------------------------(1)
3x + 5y = -3 ------------------------(2)
Multiply Eq. (1) by 3
3(2x + 4y) = -4 * 3
6x + 12y = -12 ---------------------(3)
Multiply Eq. (2) by 2
2(3x + 5y) = -3 * 2
6x + 10y = -6 ---------------------(4)
Subtract Eq. (4) from (3)
6x + 12y - ( 6x + 10y ) = -12 - (-6)
6x + 12y - 6x - 10y = -12 + 6
12y - 10y = -6
2y = -6
Divide 2 to both sides
y = -6 / 2
y = -3
Put y = -3 in Eq. (1)
2x + 4(-3) = -5
2x - 12 = -5
Add 12 to both sides
2x = -5 + 12
2x = 7
Divide 2 to both sides
x = 7 / 2
So,
x = 7 / 2 , y = -3
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Mr. Garcia has been asked to give 6 desks to Mrs. Johnson. He needs to keep at least 17 desks for his students. He created a model to find x, the number of desks he must have in order to give 6 desks to Mrs. Johnson. Which inequality represents the model for this situation?
Answers
Answer:
The inequality which represents the model for this situation is [tex]x-6\geq 17[/tex].
Step-by-step explanation:
Let Mr. Garcia has [tex]x[/tex] number of desks initially.
He has been asked to give [tex]6[/tex] desks to Mrs. Johnson.
Also, he needs to keep at least [tex]17[/tex] desks for his students.
So, after giving [tex]6[/tex] desks to Mrs. Johnson from the total number of desks he has, he must have at least [tex]17[/tex] desks for his students.
Therefore, the inequality is: [tex]x-6\geq 17[/tex].
Hence, the inequality which represents the model for this situation is [tex]x-6\geq 17[/tex].
Megan ate a fraction of a fruit salad. David ate 1/4 of the rest of the salad. If 9/16 of the salad is left, what fraction did Megan eat?
Answers
Answer:
5/16
sorry if i get it wrong! :(
Can somebody please help me with these pleaseeeee!
Answers
Second one is 180-(120+24)= 36
I WILL GIVE BRAINLY IF RIGHT Malia drew the hexagon below what is the measure of each angle of the hexagon
A. 60 degrees
B. 90 degrees
C. 120 degrees
D. 144 degrees
Answers
A hexagon has six sides, and we can use the formula degrees = (# of sides – 2) * 180. Then degrees = (6 – 2) * 180 = 720 degrees. Each angle is 720/6 = 120 degrees.
Answer:
120 Degrees
Step-by-step explanation:
A hexagon has six sides, and we can use the formula degrees = (# of sides – 2) * 180. Then degrees = (6 – 2) * 180 = 720 degrees. Each angle is 720/6 = 120 degrees.
20 POINTS!!!
Which day and time represents the best predicted time during this week to explore the tide pools in Point Loma?
What is the difference between the highest tide predicted on this table and the lowest tide predicted on this table?
What is the difference between the highest and lowest tides predicted on Friday, January 31?
Ryan and his dad plan to go tide pooling on Saturday morning around 11:30am. Did they pick a good time to go? Is there a better time on Saturday that they should go instead? Explain your reasoning using complete sentences.
Answers
Answer:
I'm doing this project rn I'll help you as soon as I'm done! Did you do the other sections already?
Step-by-step explanation:
SOME ONE PLZ HELP ME WITH THESE IM TIMED PLZZZ
Answers
13) SSS
14) SAS
15) ASA
16) AAS
please mark brainliest!
What is 3% of 84?
Show work!
Answers
Step 2: we represent the unknown value with X
Step 3: From step 1 above, 84 = 100%
Step 4: Similarly, X = 3%
Step 5: This results in a pair of simple equations:
84 = 100%(1)
X = 3%(2)
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS ( right hand side) of both equations have the same unit (%); we have
84/x = 100% / 3%
Step 7: Again, the reciprocal of both sides gives
X/84 = 3/100
X = 2.52
Therefore, 3% of 84 is 2.52
An amount a divided by 17
Answers
Brian bought beverages for his coworkers. One day he bought
3 lemonades and 4 iced teas for $12.00. The next day he bought
5 lemonades and 2 iced teas for $11.50. Find the cost of 1 lemonade
and 1 iced tea, to the nearest cent.
Answers
2.................................
A paint that contains 26 % green dye is mixed with a paint that contains 14 % green dye. How many gallons of each must be used to make 100 gal of paint that is 22 % green dye?
Answers
Answer:
66and2/3 gallons of 26% and 33and1/3 of 14%
Step-by-step explanation:
x is the gallons of 26% green dye and y is the gallons of tve 14% one. we know that the totall gallons of dye in the ens are 100=>x+y=100=>x=100-y. 26%*x+14%*y=22%*100
13/50*x+7/50*(100-x)=22 6/50x+14=22 6×=400 x=200/3=66and2/3 =>y=100-200/3=100/3=33and1/3