Mathematics College

Quadrilateral RUST has a vertex at R (1,2). 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 + 2, y)?
A. (5,8)
B. (5,2)
C. (9,6)
D. (5,6)​

Answers

Answer 1

Answer:

D. [tex](5,6)[/tex]

Step-by-step explanation:

Let [tex]R(x,y) = (1,2)[/tex], we proceed to perform all operations described on statement:

1) Dilation

[tex]R'(x,y) = O(x,y) + k\cdot [R(x,y)-O(x,y)][/tex]  (1)

Where:

[tex]O(x,y)[/tex] - Point of reference.

[tex]R(x,y)[/tex] - Original point.

[tex]R'(x,y)[/tex] - Dilated point.

[tex]k[/tex] - Scale factor.

If we know that [tex]O(x,y) = (0,0)[/tex], [tex]R(x,y) = (1,2)[/tex] and [tex]k = 3[/tex], then the dilated point is:

[tex]R'(x,y) = (0,0) +3\cdot [(1,2)-(0,0)][/tex]

[tex]R'(x,y) = (0,0) +3\cdot (1,2)[/tex]

[tex]R'(x,y) = (3,6)[/tex]

2) Translation

[tex]R''(x,y) = R'(x,y) + T(x,y)[/tex] (2)

Where:

[tex]R'(x,y)[/tex] - Original point.

[tex]T(x,y)[/tex] - Translation point.

[tex]R''(x,y)[/tex] - Translated point.

If we know that [tex]R'(x,y) = (3,6)[/tex] and [tex]T(x,y) = (2,0)[/tex], then the translated vector is:

[tex]R''(x,y) = (3,6)+(2,0)[/tex]

[tex]R''(x,y) = (5,6)[/tex]

Therefore, the correct answer is D.

Answer 2

Answer:d

Step-by-step explanation:

Related Questions

Solve 3b – 8 + 6 = 2(b + 6)

Answers

Answer:

b=14

Step-by-step explanation:

3b-2=2b+12

b-2=12

b=14

Look at at pic attached! Pls hurry :( 21 points

Answers

Answer:

C option

Step-by-step explanation:

bcz root of 121 is 11. then 2/3 +11 will give you a rational number.

Answer:

2/7 + square root of 121 (the third one)

Step-by-step explanation:

a rational number is a number where if you write it as a fraction, both the numerator and denominator are integers (numbers like 1 and 2 but not like 3.4 or 5.6)

the equation simplified a bit looks like this:

2/7 + 11/1

anddd so all the numbers are integers which means that expression is correct :3

Find the area of a circle with a diameter of \color{green}{16}16start color green, 16, end color green.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.
units^2
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Answers

Answer:

64π

Step-by-step explanation:

no

3 Prove that
cos130°+cos 110+ cos10=0​

Answers

We know, cos A + cos B = 2cos(C+D)/2 × cos(C - D)/2

So,

cos 130 + cos 110 + cos 10

cos 130 + 2cos (110+10)/2 × cos( 110-10)/2

cos 130 + 2cos 60 × cos 50

cos ( 180 - 50 ) + 2cos60 cos 50

We know, cos ( 180 - A ) = -cos A

2cos 60 cos 50 - cos 50

Also, cos 60 = 0.5

2×0.5 cos 50 - cos50

cos 50 - cos 50

0  = RHS.

Hence proved

Which of the following represents the sum 4+8? Assume that red tiles represent negative numbers and blue tiles
represent positive numbers.
A.four blue tiles plus eight blue tless
B.four blue files plus eight red tiles
C.four red tiles plus eight red tiles
D.four red tiles plus eight blue tiles

Answers

Answer:

A.

Step-by-step explanation:

Both are positive values, so it's just four blue plus eight blue.

Pls give the right answers
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Pls help
Pls help

Answers

Answer:

H

Step-by-step explanation:

Because I’m decimal if it is negative the greater the number in negative the less it is

Can someone tell me how to do a transversal angle measurement with steps and angles

Answers

Answer:

Sorry I am not sure but when I figure it out..... I prolly won't

Step-by-step explanation:

Answer:

 

When two lines are cut by a transversal, the pairs of angles on one side of the transversal and inside the two lines are called the consecutive interior angles . If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary

Step-by-step explanation:

Kenny drank 37 ounces of milk during the
day. How many cups of milk did he drink?

Answers

Answer:

4.625

Step-by-step explanation:

that is the answer

I will mark you brainliest if you go subscribe to seema beauty care and more on y o u t u b e and put the screenshot in answer.

Answers

Step-by-step explanation:

Just subscribed wish you the best on your channel!!!

What is the simplified form of (3\4)exponet3 ? Enter your answer as a fraction by filling in the boxes.

Answers

Answer:

Calculator to simplify complex fractions; fractions that have numerators and denominators, each of which are a mixed number, fraction, or integer. Solutions are given to solve the complex fraction by LCD multiplication or as Enter Mixed Numbers, Fractions or Integers  Reduce fractions where possible163−615=163−25.

Step-by-step explanation:

PLEASE ANSWER ASAP!
2(h -3.5) = -11
what is h?

Answers

Answer: -2

Step-by-step explanation:

2(h -3.5) = -11 Distributive property

2h - 7 = -11. Add 7 to both sides

2h = -4. Divide both sides by 2

h = -2

Answer: The answer is -2 :)

Step-by-step explanation: 2(h -3.5) = -11  distributive propert

2h-7=-11 Add  -7 to both side

     +7  =+7

2h=-4 Divide 2 to both side

2  =  2

h=-2

4/5 + v = 41/20
solve this plz and show me how you got the answer

Answers

Answer:

v = 1 1/4   (1.25)

Step-by-step explanation:

4/5 + v = 41/20

16/20 + v = 41/20

16/20          16/20

---------------------------

v = 41/20 - 16/20 = (41-16)/20 = 25/20 = 5/4 = 1 1/4

PLEASE ANSWER THIS ASAP, I WILL BE GIVING YOU A THANKS!

Answers

Answer:

I would say D. There is no logical explanation for the final answer but there is for everything else.

For A: Makes sense because 3x-2 are in parenthesis outside a number so you can multiply.

For B: Makes sense because you are allowed to add/subtract like terms but in this case only subtracting would make sense, (which is what they did) since you want to get all the like terms on one side.

For C: Makes sense because you are trying to simplify the equation, and they are both like terms (they are both numbers that have no letter attached to them) and they are on the opposite side making them able to be simplified.

For D: No idea what the point is.

Find the arc length of the semicircle. 8

Answers

Answer:

π×8² =

201.0619298297

arc length formular = π ×r²



If degree measures of the angles of A ABC are represented by 3x, x+10,

and 6x, then A ABC must be...

Answers

Answer:

30degrees

Step-by-step explanation:

The sum of angles of a triangle is 180

<A + <B + <C = 180

Substitute the given values

3x + x+10 + 6x = 180

10x + 10 = 180

10x = 180-10

10x = 170

x = 170/10

x = 17

Get <A:

<A = 3x

<A = 3(10)

<A = 30degrees

Hence the measure of angle A is 30degrees

418/36 as a mixed number

HELP PLEASE

Answers

Answer:

11 11/18

Step-by-step explanation: a quick search

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Answers

Answer:

C. 65

Step-by-step explanation:

All the angles in a triangle add up to 180 degrees.

180-62-53 = 65

what is the best description to the relation.
A. a function that is a one-to-one
B. a function that is many-to-one
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Answers

D! Hope this helps, stay safe!

Which expression represents "8 times the difference of 52 and 9"?

Answers

Answer:

(52-9)*8

:):):):):):)

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Answer:

8(52-9)=

8x41=

328

Step-by-step explanation:

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Answers

Answer:

50

Step-by-step explanation:

22 is 44% of 50. It's 50 because it's techincally half if you look at it. I don't know how  to really explain that well. But the answer is 50, trust me.

50

0.44x50 = 22
22/50=0.44

Write the equation of the line that passes through the point 2,-1 and has a slope of -3

Answers

Answer:

-3

Step-by-step explanation:

-3 is your answer

3x3z−6z for z=5 solve pllllsslssss

Answers

hi luv!!!
i’m doing the problem right now, so in the first part. do you want me multiply 3x with 3z?

Question
-2(8)=
I really need help please! I will pay u back with good things! :)

Answers

Answer:

-2(8)=16

Step-by-step explanation:

-2(8) is equal to -2 times 8/ -2 x 8

So 2 times 8 is 16, but since it's negative 2 it takes the negative sing

Pythagorean Theorem Quiz.
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3
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Answers

Answer:

1.) 5              2.) 10.58

Step-by-step explanation:

For each one, you use the equation a^2 + b^2 = c^2 where c is the "hypotenuse"-- the side of the triangle opposite (facing) the right angle which is shown with a small box. The variables a and b do not matter, as long as they are the "legs", the other 2 sides.

So it is 4^2 + 3^2 = c^2 which simplifies to 16+9=25=c^2 and square root both sides and you get c=5

and 12^2 + b^2 = 16^2 which simplifies to 144+ b^2 = 256 and subtract 144 from both sides and you get b^2 = 112 and square root both sides and it is approximately 10.6 :)

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Answers

Answer:

yay

Step-by-step explanation:

ty

Which number line shows 1 to 4 divided into fifths?

Answers

Answer:

Second option!!!

Step-by-step explanation:

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Answers

Answer:

38 degrees

Step-by-step explanation:

3x+2x+15+95+60=360

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5x=360-170

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Answers

Answer:

See answers below:

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Combine Like Terms for this expression.
8r - 9 - 2r-1

Answers

Answer:

Your answer would be- 8-6r

Step-by-step explanation:

  You would combine the LIKE TERMS. The two pairs of like terms are 8r-2r and 9-1. You subtract those two pars and get 8-6r!

          JOKE TIME!

Why did the gym close down? It just didn't work out. *Nods head. Very sad.

Please help.. Please. Is this a positive trend or negative trend or no trend ​

Answers

Answer:

it's a no trend cause its literally nothing but dots

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