Quadrilateral RUST has a vertex at R(2, 4).
T
U
S
What are the coordinates of R'after a dilation by a scale factor of 3, centered
at the origin, followed by the translation (x, y) - (x + 4, y)?
A. (10,4)
B. (10, 12)
C. (10, 16)
D. (18,12)
Answers
Given:
The coordinate of point R in quadrilateral RUST are (2,4).
R is dilated by a scale factor of 3, centered at the origin, followed by the translation [tex](x, y)\to (x+4,y)[/tex].
To find:
The coordinates of R' after dilation and translation.
Solution:
If a figure is dilated by a scale factor of 3, centered at the origin, then
[tex](x,y)\to (3x,3y)[/tex]
We value R(2,4).
[tex]R(2,4)\to R_1(3(2),3(4))[/tex]
[tex]R(2,4)\to R_1(6,12)[/tex]
The rule of translation is:
[tex](x, y)\to (x+4,y)[/tex]
Using this rule, we get
[tex]R_1(6,12)\to R'(6+4,12)[/tex]
[tex]R_1(6,12)\to R'(10,12)[/tex]
Therefore, the coordinates of point R' are (10,12) and the correct option is B.
Related Questions
An investor puts $4,500 into a life insurance policy that pays 6% simple annual interest. if no additional investment is made into the policy, how much accumulated interest should the investor expect at the end of 15 years?
A) $4,050
B) $40,500
C) $4,500
D) $405,00
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Rhea draws rows and columns on a big piece of paper to make 16 same-sized squares. How many rows and columns does she draw? I
Answers
Answer:
4 rows and 4 columns
Step-by-step explanation:
Given
16 same sized squares
Required
Determine the number of rows and columns
Since the shape formed is a square, then the following relationships exist:
[tex]Row * Column = 16[/tex]
[tex]Row = Column[/tex]
[tex]Row * Column = 16[/tex] can then be rewritten as:
[tex]Row * Row = 16[/tex]
[tex]Row^2 = 16[/tex]
Take square roots of both sides
[tex]Row = \sqrt{16[/tex]
[tex]Row = 4[/tex]
[tex]Row = Column[/tex] implies that:
[tex]Row = Column = 4[/tex]
yo can i get some help no links or pictures only say the truth or get reported
Answers
Answer:
i'm pretty sure it's c
Step-by-step explanation:
But brainiest please :)
please help and no files please
Answers
A number was subtracted from 15. After which, that result was multiplied by 5. This result was then divided by 5 for a result of 1. Given this information, what was the initial number?
Answers
Answer:
14
Step-by-step explanation:
15-14 = 1
1*5=5
5/1=1
Oumou is buying tile for her kitchen. The area of Oumou’s rectangular kitchen, in square feet, can be found by using the expression 5(3m+4n). Use the distributive property to write an equivalent expression for the area of Oumou’s kitchen.
Answers
The answer is: 15m + 20n
Hope this helped
Please help with these 2 range questions ❤
Answers
Answer:
10) 27
15) 18
Step-by-step explanation:
10)
Range = Max value - Min value
18 = x - 9
x = 27
15)
Range = Max value - Min value
32 = 50 - x
-x = 32 - 50
-x = -18
x = 18
Answer:
27 and 18
Step-by-step explanation:
The range is the difference between the largest and smallest numbers
(10)
Given range = 18 and smallest number is 9 then
largest number = 9 + 18 = 27
(15)
Given range = 32 and largest number is 50 , then
smallest number = 50 - 32 = 18
Sofia's batting average is 0.022 higher than Joud's batting average. Joud has a batting average of 0.169.
Answers
Answer:
0.191
Step-by-step:
0.022 + 0.169 = 0.191.
A study reports that about half of pet owners have either a dog or a cat. The other half of pet owners have birds,
reptiles, or other animals. To find out if this applies in its area, an animal shelter surveys a random sample of 30 pet
owners. Nineteen of them say they own either a cat or a dog.
Let even digits represent owning a cat or a dog and odd digits represent owning some other type of animal.
08979
61956
77989
04853
28580
80896
Using the line of random numbers, what is the best estimate of the proportion of responses in a sample who own either
a cat or a dog?
0.47
0 0.50
0.53
0.63
Answers
Answer:
0.53< I just did the quiz.
Step-by-step explanation:
Simplify: 14 - ³√216 No files
Answers
Answer:
8
Step-by-step explanation:
14 - ∛216
Step 1: The cube root of 216 is 6
14 - 6
Step 2: Subtract 6 from 14 to get 8.
8
14 - ∛216 simplifies to 8.
Which statements about opposites are true?
Select each correct answer.
The opposite of zero is zero.
A number and its opposite are located the same distance from zero on a number line.
The product of a number and its opposite is always 1.
The opposite of a negative number is always a positive number.
Answers
9514 1404 393
Answer:
A, B, D
Step-by-step explanation:
The "opposite" of a number is that number with its sign changed.
__
The opposite of zero is zero.A number and its opposite are located the same distance from zero on a number line.The opposite of a negative number is always a positive number.Answer:
The "opposite" of a number is that number with its sign changed.
Hannah has an offer from a credit card issuer for 0% APR for the first 30 days
and 12.22% APR afterwards, compounded daily. What effective interest rate
is Hannah being offered?
A. 11.87%
B. 13.00%
C. 12.93%
D. 12.22%
Answers
i believe the answer is A.11.87% because interest rates tend to be lower than APR
If the first 30 days and 12.22% APR afterwards, compounded daily. The effective interest rate is: A. 11.87%
Effective interest rateAfter 1 year the daily percentage rate is compounded for:
(365 days - 30 dyas) = 335 days
Hence:
Effective interest rate=(1+0.1222/365)^335-1
Effective interest rate=(1+0.1222/365)^335-1
Effective interest rate=(1+0.00033479)^335-1
Effective interest rate=(1.00033479)^335-1
Effective interest rate=(1.11866-1)
Effective interest rate=0.11866×100
Effective interest rate=11.87% (Approximately)
Therefore the effective interest rate is: A. 11.87%.
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Problem 1. Find the total volume of both shapes. (add)
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Answers
Answer:36 inches^3
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A tool box has the dimensions of 10 in by 7 in by 3 in. If Deena plans to double all three dimensions to build a larger tool box, she believes she would double the volume of the tool box. Is she correct?
Answers
Answer:
She will not be correct
Step-by-step explanation:
Given data
Length=10in
Width=7in
Height=3in
The volume of the toolbox
V=10*7*3
V=210 in^3
Let us double the volume and see
2V= 210*2
=420 in^3
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Width=14in
Height=6in
V= 20*14*6
V=1680 in^3
Hence the volume will be different, she will not be correct
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Answers
Answer:
See Below.
Step-by-step explanation:
We are given that:
[tex]EL\cong KP[/tex]
And we want to prove that:
[tex]KE\cong LP[/tex]
Congruent chords have congruent arcs. Therefore:
[tex]\stackrel{\frown}{EL}\, \cong \, \stackrel{\frown}{KP}[/tex]
Arc EL is the sum of Arcs LP and PE:
[tex]\stackrel{\frown}{EL}\,=\, \stackrel{\frown}{LP}+\stackrel{\frown}{PE}[/tex]
Likewise, Arc KP is the sum of Arcs KE and PE:
[tex]\stackrel{\frown}{KP}\, =\, \stackrel{\frown}{KE}+\stackrel{\frown}{PE}[/tex]
Since Arcs EL and KP are congruent:
[tex]\stackrel{\frown}{LP}+\stackrel{\frown}{PE}\, =\, \stackrel{\frown}{KE}+\stackrel{\frown}{PE}[/tex]
Subtraction Property of Equality:
[tex]\stackrel{\frown}{LP} \, \cong\, \stackrel{\frown}{KE}[/tex]
Congruent arcs have congruent chords. Therefore:
[tex]LP\cong KE[/tex]
Sophia spent $32.16 on four sandwiches. If each sandwich cost the same amout, how much does one sandwich cost.
Answers
Answer:
Step-by-step explanation:
32.16 / 4 = 8.04
$8.04
A lawyer drives from her home, located 15 miles east and 28 miles north of the town courthouse, to her office, located 6 miles west and 44 miles south of the courthouse. Find the distance between the lawyer's home and her office.
Answers
Answer:
Step-by-step explanation:
I know the answer is 26 miles but I cannot figure out how they came up with that answer using the distance formula.It looks like you need to find the shortest distance (as the crow flies) between the home and the office.
Use the Pythagorean Theorem.
6^2 + 10^2 = c^2
136 = c^2
11.67 = c
4^2 + 14^2 = c^2
212 = c^2
14.56 = c
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Step-by-step explanation:
I think
Answer:
D
Step-by-step explanation:
The correct answer is D because it is the lowest number. If you did the largest number it is more likely to happen.
In slope intercept y=mx+b if the slope is 3/4 and the -y intercept is -2
Answers
Answer:
y = [tex]\frac{3}{4}[/tex] x - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Here m = [tex]\frac{3}{4}[/tex] and b = - 2 , then
y = [tex]\frac{3}{4}[/tex] x - 2 ← equation of line
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Answers
Answer:
8 ways
Step-by-step explanation:
14+13=27
27/3=8
I think that's right. Sorry if it isn't
if a hockey ticket regular cost $25 and the sale price cost $20
Answers
Answer:
The sale price would be 20% off.
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
17 more than twice Chrissy's height
Answers
The required expression is 2h+17 where h is the height of Chrissy.
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Given is a statement, 17 more than twice Chrissy's height, we are asked to convert this statement into an expression,
Let Chrissy's height be h,
Then,
2h+17
Hence, the required expression is 2h+17 where h is the height of Chrissy.
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A circular plate has circumference 30.8 inches. What is the area of this plate? Use 3.14 for t.
The area of this plate is about square inches.
(Round the final answer to the nearest whole number as needed. Round all intermediate values to the nearest
thousandth as needed.)
Answers
Answer: 745 (about)
Step-by-step explanation:
A=πr2
A =π (15.4)^2
A=π (237.16)
A= 745.06
A= 745 (with rounding)
Answer:
The area of the plate is about 76 square inches
Step-by-step explanation:
i had this on a test ... and i got this question right if your problem is worded the same way then the answer is 76 :)
Help please thank you:) QUICKLY!!!!!!!!!
Answers
Answer:
y = -8
Step-by-step explanation:
2x2 - 12
4 - 12 = -8
hope this helps
yo can someone help me with this? (Links = report)
Answers
Answer:
2
Step-by-step explanation:
12.6 divided by pi= 4.01
sqaure root of 4 is 2
If u know ,
Help me please .
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Answer:
50cm³
Step-by-step explanation:
Multiply the dimensions then divide by three to get the volume of the pyramid
Ms. Costo is shopping for a new car. The salesman tells her the price will be $18,795 before a 10% discount. Ms. Costo isn’t sure she is getting the best price, so she sends Ms. Deele to ask the price of the same car. This time the salesman tells her the price is $17,050. Who is offered the better price? What is the price of the better deal after paying the 6% sales tax?
Answers
Answer:
Ms. Costco was offered the best price. It would be $15,900.57 after tax
Step-by-step explanation:
Ms. Costco: $18,795 x .90 =$16,915.50 x .94=$15,900.57
Ms. Deele: $17,050 x .94=$16,027
Tomás is cutting a board into 1/6 yard pieces. If the board is 3 yards long, how many pieces can Tomás cut?
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Step-by-step explanation:
A scientist uses 8.5 grams of carbon every 30 minutes during an experiment. If the experiment lasted 2 hours, how many total kilograms of carbon did they use?
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Answer:
34
Step-by-step explanation:
