Which set of transformations has been performed on triangle pqr to form triangle p’q’r’

Answers

Answer 1

Answer:

Dilation by a scale factor of fraction 1 over 2 followed by reflection about the x-axis.

Step-by-step explanation:

We are given to select the set of transformations that has been performed on triangle PQR to form triangle P'Q'R'.

From the graph, we note that

the co-ordinates of the vertices of triangle PQR are P(-4, 2), Q(0, 0) and R(2, 6).And, the co-ordinates of the vertices of triangle P'QR' are P'(-2, -1), Q'(0, 0) and R'(1, -3).

Let the dilation factor applied on triangle PQR to form triangle P'Q'R' be represented by d.

Then, we observe that

1/2 × P(-4,2)=(-2,1),

1/2 × Q(0,0)=(0,0),

1/2 × R(2,6)=(1,3).

So, the value of d will be

d = 1/2.

Again, to arrive at the vertices of triangle P'Q'R', we need to change the sign before the y co-ordinates ((x, y)   ⇒   (x, -y)) of each new vertex hat we found after dilation.

That is.(-2, 1)   ⇒   P'(-2, -1),

(0, 0)   ⇒   Q'(0, 0),

(1, 3)    ⇒   R'(1, -3).

This is reflection over X-axis.

Therefore, the set of transformation is given by

Dilation by a scale factor of fraction 1 over 2 followed by reflection about the x-axis.


Related Questions

A survey asks 184 people "What beverage do you drink in the morning?", and offers choices:
• Coffee only
• Tea only
• Both tea and coffee
• Neither tea nor coffee
Suppose 52 report tea only, 44 report coffee only, and 68 report both.

Answers

what is the question?

In triangle PQR if PQ = QR then which one of the following relation is TRUE? *
∡P < ∡R
∡P = ∡ Q
∡ P = ∡ R
∡ P is greater than ∡R

Answers

Answer:

Triangle PQR is an isoceles triangle since PQ=QR, where angle P= angle R (property of isoceles triangle)

What is the value of when x = 16 and y = 2?
32
02
2
2
4
Hi

Answers

If you are multiplying 16 times 2 then 32 would be your answer. If you are subtracted your answer would be 14. If you are adding them your answer would be 18. I don’t really see what sign is being used.

5+5+5+5+5+5+5+5+5+5 answer this please

Answers

Answer:

50

Step-by-step explanation:

5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 = 50

5(10) = 50

cat este 18 se divide la (x+1) daca x este un numar natural

Answers

Answer:

mai mic număr natural care se divide cu 24, 36 și 60. 9. ... 2. Dacă fracțiile. 12 x și. 1. 3 sunt echivalente, atunci x este: a) 36; b) 2; c) 3; ... D = Mulțimea numerelor naturale care, înmulțite cu 3, dau 18; E= Mulțimea divizorilor lui 9. 6.

Step-by-step explanation:

mai mic număr natural care se divide cu 24, 36 și 60. 9. ... 2. Dacă fracțiile. 12 x și. 1. 3 sunt echivalente, atunci x este: a) 36; b) 2; c) 3; ... D = Mulțimea numerelor naturale care, înmulțite cu 3, dau 18; E= Mulțimea divizorilor lui 9. 6.

Find the values of x and y.
112°
7x+7°
Drawing not to scale

Answers

Answer:

y=17

x=15

Step-by-step explanation:

is y=7x-3 proportional

Answers

If you do the math it equals to 3/7 so x=0.428... so no cuz it doesn’t give a straight answer unless it’s 3/7


The equation of line AB is y = 5x + 1. Write an equation of a line parallel to line AB in slope-intercept form that contains point (4, 5). (5 points)
O y = 5x - 15
O y = 5x + 15
9.(06.04 MC)

Answers

answer is y=5x-15 for the parallel line

Answer:

y = 5x - 15

Step-by-step explanation:

Took test.

negative -4.6 times 5 equals ​

Answers

Answer:

-23

Step-by-step explanation:

Negative-4.6 times 5 equals -23


Classify the four angles of the quadrilateral

Answers

Answer:

<A= obtuse

<B= acute

<C= obtuse

<D= right

Step-by-step explanation:

Suppose you have the following information about the costs of a new video game and new board game, along with the utility generated from each purchase for Libby. The video game costs $25 and would provide Libby with a marginal utility of 50 utils. The board game costs $15 and would provide Libby with a marginal utility of 45 utils.

Answers

Answer:

holoiejk

Step-by-step explanation:

If Jill bought 2 dozen bagels, how many of each type of bagel did she buy?

Answers

it depends on what the options are but 2 dozen is equal too 24

What value of a makes the solution to the equation 5x-10=3x+a equal to 12

Answers

Answer:

a=-1.2

Step-by-step explanation:

5x-10=3x+a=12

let's first find x:

5x-10=12

add 10 to both sides:

5x=22

divide both sides by 5:

x=4.4

now that we know what x is, we can plug it back into the equation to find a:

3*4.4+a=12

first, simplify both sides:

13.2+a=12

then, subtract 13.2 from both sides:

and our answer is: a=-1.2

Timed! Solve |4-7x|-5<8

Answers

Answer: x> −9 /7  and x< 17 /7

Step-by-step explanation:

brainliest:)

Answer:

B

Step-by-step explanation:

Which of the following is an example of a Durable good?
A Volvo
The rights to a song.
O Dog training
O A Twinkie

Answers

Answer:

  A Volvo

Step-by-step explanation:

A "good" is something you can touch. Song rights and dog training are not "goods". It is durable if it has a long life.

A Twinkie may have a shelf life approaching that of a Volvo, but food (or what passes for food) is not considered durable, in general. Rather, it is considered consumable.

A Volvo is an example of a durable good.

Express (x+ 1)(2x3) as a trinomial.

Answers

Answer:

2x^2+5x+3

Step-by-step explanation:

Answer:

i kinda think you cant express this

Step-by-step explanation:

why

Which term must be inserted in the dividend before you begin long division?
(2x^3 + 5x^2 +9) / (x + 3)

Answers

Answer:

2x2 −x+3

Step-by-step explanation:

Please help with this problem:

Answers

Answer:

adfh

Step-by-step explanation:

4x, -19x, 17x, -x

38. You must leave for campus in half an hour, or you will be
late for class. Unfortunately, you are snowed in. You can
shovel the driveway in 45 minutes and your brother claims
he can do it in 36 minutes. If you shovel together, how long
will it take to clear the driveway? Will this give you enough
time before you have to leave?

Answers

Answer:

fvrervrfvervrebvrbnyjmu5ngbegbfggnnhhyr

Step-by-step explanation:

Find an equation of the circle and sketch it if it has: Center on y=4, tangent x-axis at (–2, 0)

Answers

Answer:

[tex](x+2)^2+(y-4)^2=16[/tex]

OK, lets start by drawing a basic graph (the first one) so we can visualize.

We already know that the y coordinate of the circle's center is [tex]4[/tex].

We know that the circle is tangent to the [tex]X[/tex] axis at [tex](-2,0)[/tex]

That means the x coordinate of the center has to be [tex]-2[/tex], as the tangent is a point on the edge of the circle that touches a line at exactly one point.

The radius is the distance from the center of the circle to its edge. We know the center's location now, it is [tex](-2, 4)[/tex] and a point on the edge of the circle (the tangent point) which is [tex](-2,0)[/tex]. so the distance between the points is 4 which is the radius (you can use the distance formula, but it's quite oblivious.)

We can imagine the circle should look like this (the second one):

Now we can piece together an equation

The equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex] where [tex](h,k)[/tex] is the center and [tex]r[/tex] is the radius. When we put the numbers in: we get [tex](x-(-2))^2+(y-(4))^2=4^2[/tex] which can be simplified into [tex](x+2)^2+(y-4)^2=16[/tex] which is the answer.

Step-by-step explanation:

A baseball player hit a ball what that went 325feet.How many meters in this

Answers

Answer:

99.06 meters

Step-by-step explanation:

Answer:

≈ 99.1 meters

Step-by-step explanation:

1 foot = 0.3048 meters

325 / 3.281

99.055166

Best of Luck!

If the population of this town is 7428 in 15 years what was its initial population?

Answers

Answer:

About 495 people

Step-by-step explanation:

Divide 7428 by 15 years.

a–2=3+6a/3 what is the value of a?

Answers

Answer:

a=-5

Step-by-step explanation:

a-2=3+2a

-2=3+a

-5=a


8^2 + b^2 = 10^2
what is b?
HELP HELP FAST

Answers

Answer:

2

Step-by-step explanation:

10^2 - 8^2 = B^2

B = 2

Answer:

b=6

Step-by-step explanation:

8 squared equals 64, 10 squared equals 100. 100-64 is 36. square root of 36 equals 6. Thus b=6.

3 Cindy want to make some lemonade for the family picnic. She added 47 cups of water to 32 cups of lemon drink mix. How much lemonade did Cindy make? 4. 0 76 cups 0 7 cups 1 0 84 cups 1 0 74 cups 1 2 3 3 4 Support | Schoology Blog | PRIVACY POLICY | Terms of Use​

Answers

Answer:

79 cups of lemonade

Step-by-step explanation:

47 cups of water plus 32 cups of lemonade mix added together equals 79 cups of lemonade.

PLEASE HELP
Mr.walker asked his students to use the associative property to find an exoression that is equivalent to (13+15+20)+(20+47+18).

Jeremy | (20+13+15) + (20+47+18)
Layla | (20+47+18) + (13+15+20)
Keith | (13+20)+(20+47+18)+ 15
Melinda | (13+15+20+20)+(47+18)

Answers

Answer

jermy

Step-by-step explanation:

What is the value of f(-2) when f(x)=2x2-3x+28

Answers

Answer:

[tex]f(x)= 2x^{2} - 3x +28\\f(-2) = 2(-2^{2}) - 3(-2) +28\\f(-2) = 8 +6+28\\f(-2) = 42[/tex]

There are 72 new houses being built in a neighborhood. Last month, 1/3 of them were sold. This month, 5/6 of the remaining houses were sold. How many are left to be sold ?

Answers

Answer:

8

Step-by-step explanation:

72x(2/3)=48

48/6=8

Joan says that the expression
9y + 2 + 8y + 6 is equivalent to the expression
17y + 8. Is Joan correct?

Answers

Answer:

Yes, Joan is correct

Explanation

Answer:

JOAN

Step-by-step explanation:

Ella's hair grew from 10 3/4 inches to 13 1/4 inches over 5 months. At what rate did Ella's hair grow per month?

Answers

Answer:

530 inches.........0.009434 in every month

Step-by-step explanation:

13.25-10.75=2.5

13.25/2.5=5.3

5.3*100=530

5/540

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