Suppose m is the line with equation y = −4 and ΔA'B'C is mapped to ΔA"B"C" by applying the glide reflection T⟨3, 0⟩ ∘ Rm. What are the coordinates of ΔA″B″C″?

Answers

Answer 1

Answer:

[tex]A" = (-1,-3)[/tex]     [tex]B" = (-2,-6)[/tex]      [tex]C" = (1,-7)[/tex]

Step-by-step explanation:

Given

See attachment for graph

[tex]A' = (-4, -5)[/tex]

[tex]B'=(-5, -2)[/tex]

[tex]C' = (-2, -1)[/tex]

First, reflect over [tex]y =-4[/tex]

The rule is: [tex](x,y) ==> (x,y+h)[/tex]

Where [tex]h =-4[/tex]

So:

[tex]A' = (-4, -5)[/tex] [tex]==>[/tex] [tex]A'' = (-4, 1-4) = (-4, -3)\\[/tex]

[tex]B'=(-5, -2)[/tex] [tex]==>[/tex] [tex]B'' = (-5, -2-4) = (-5, -6)[/tex]

[tex]C' = (-2, -1)[/tex] [tex]==>[/tex] [tex]C'' = (-2, -3-4) = (-2, -7)[/tex]

So, we have:

[tex]A" = (-4,-3)[/tex]      [tex]B" = (-5,-6)[/tex]       [tex]C" = (-2,-7)[/tex]

Next translate A''B''C'' by T(3, 0), we have;

The rule is: [tex](x,y)==>(x+3,y+0)[/tex]

[tex]A" = (-4,-3)[/tex] [tex]==>[/tex] [tex]A" = (-4 + 3, -3+0) = (-1, -3)[/tex]

[tex]B" = (-5,-6)[/tex]  [tex]==>[/tex] [tex]B" = (-5 + 3, -6) = (-2, -6)[/tex]

[tex]C" = (-2,-7)[/tex] [tex]==>[/tex]  [tex]C" = (-2 + 3, -7) = (1 , -7)[/tex]

Hence, A''B''C'' are:

[tex]A" = (-1,-3)[/tex]     [tex]B" = (-2,-6)[/tex]      [tex]C" = (1,-7)[/tex]

Suppose M Is The Line With Equation Y = 4 And A'B'C Is Mapped To A"B"C" By Applying The Glide Reflection

Related Questions

A group of friends were working on a student film. They spent all their budget on props and equipment. They spent $693 on props, and 37% of the total budget on equipment. What was the total budget for their student film?

Answers

Answer:

$1100

Step-by-step explanation:

Let the total budget = b

amount spent on props + amount spent on equipment = total budget

If 37% of the budget was spent on equipment

The percentage spent on props = 100% - 37% = 63%

63% of the total budget is $693

the above sentence presented as an equation gives :

63/100 x b = 693

to find b, divide both sides of the equation by 100/63

b = $1100

Answer:

1100

Step-by-step explanation:

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Answers

Answer:

3rd one

Step-by-step explanation:

What is the probability that you get two even numbers if you roll two dice?

Answers

Answer:

Probability of both even is 12×12=14. Given they are both even there are 3 possible even numbers: 2,4,6.

Step-by-step explanation:

I am completely lost. I don’t know the answer.

Answers

Answer:

when in doubt the answer is always c

Step-by-step explanation:

Step-by-step explanation:

option b.

......................

Determine the scale factor.
y
4
P Р
A.
4
-3
-2
P?
B.
1
2
Q
d'
4 5 6 7
0
9 x
1 2
R'
C. 2
-2
R
D. 4

Answers

Answer:

The scale factor from PQR to P'Q'R' is ½

A construction company is currently working on six projects. The table shows the progress of each of the projects represented as a decimal.

What is the range of the progress of these projects? ​

Answers

Answer:

Step-by-step explanation:

can u give the answer to the quiz

The range of the project will be equal to 0.82.

What is the range in statistics?

When the sample maximum and minimum are subtracted, the range of a set of data is the difference between the largest and smallest values. It uses the same units as the data to express itself.

The given data of the project is,

u             0.87

v            0.31

w           0.08

x            0.05

y            0.19

z            0.5

The range will be calculated as the difference between the maximum value to the minimum value.

Range = 0.84 - 0.05

Range = 0.82

Therefore, the range of the project will be equal to 0.82.

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what's the value of given expression​

3³ - 3⁴

Answers

Answer:

-54

Step-by-step explanation:

27−34

=27−81

=−54

Answer:

2184

Step-by-step explanation:

=3³ x 3⁴

= 24 x 81

=2184

The graph shown compares the rent Andrew and Dave pay for renting bikes from different stores

After how many hours would the amount Andrew and dave pay for the rentals be equal?

Answers

Answer:6

Step-by-step explanation:

The number of hours when the amount Andrew and dave pay for the rentals be equal will be 6 hours.

What is the equation of a line passing through two points?

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).

Then the equation of the line is given as,

[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]

From the equation, the two points of Dave's line will be (0, 6) and (2, 9). Then the equation is given as,

(y - 6)[(9 - 6) / (2 - 0)](x - 0)

y = 1.5x + 6

From the equation, the two points of Andrew's line will be (0, 3) and (1, 5). Then the equation is given as,

(y - 3) = [(5 - 3) / (1 - 0)](x - 0)

y = 2x + 3

The number of hours when the amount Andrew and dave pay for the rentals be equal will be calculated as,

2x + 3 = 1.5x + 6

0.5x = 3

x = 6 hours

The number of hours when the sum Andrew and dave pay for the rentals be equivalent will be 6 hours.

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All the info is in the photos your gonna need the answer to the first photo to answer the second one help plz I'm giving Brainliest!!

Answers

Answer:

240 minutes (4 hours)

Step-by-step explanation:

the descend 3000 ft every 20 minutes

36000 ÷ 3000 = 12

20*12 = 240 minutes

I posted another question :)

Answers

Answer:

the first one is correct

Step-by-step explanation:

Barney went to the market and bought 2 1/2​ pounds of apples. He divided up between 3 people. How many pounds of the apples did each person get?

Answers

Answer:

0.833333

Step-by-step explanation:

2 1/2 pounds divided between three people would be 0.833333 pounds.

Answer:

Step-by-step explanation:

2 1/2 divided by 3

person 1: 5/6

person 2: 5/6

person 3: 5/6

Someone please help!!!

Answers

Answer:

C: -1,2

Step-by-step explanation:

The solution is where both line intersect and touch each other.

A circle has diameter of 8 feet.
What is the circumference? (Round to the nearest tenth if necessary.)

Answers

25.1 feet is the circumference!(Assuming pi equals 3.14)8 x 3.14 = 25.1225.12 rounds to 25.1Please let me know if I am wrong.

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Answers

60 square feet I’m pretty sure

(13.04 LC)
What unit of measurement would you use to measure the capacity of a juice
box?
Yards
Liters
Milliliters
Meters

Answers

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The class size for 8 classrooms is shown.

14, 22, 24, 25, 25, 28, 32, 34

Which class size affects the range of all 8 classes the MOST?

Answers

Answer: The answer is 14

Step-by-step explanation:

The range of all [tex]8[/tex] classes is most affected by class size [tex]\boldsymbol{14}[/tex].

To understand the calculations, check below

Define range.

The range of a collection of numbers is the difference between the maximum and smallest values. Subtract the lowest as from highest number in the dispersion to discover it.

True upper limit minus true lower limit of a class interval is known as the class size.

The range of all [tex]8[/tex] classes is most affected by class size [tex]\boldsymbol{14}[/tex].

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You roll a die twice.
What is the probability of rolling a number greater than 2 and then
rolling a number less than 6?

Answers

Answer:

The probability the chances are there is an even chance

Step-by-step explanation:

also if you can plz help on this question

Sharecropping agreements were written in such a way that generally favored the sharecropper.

true or false

please help i’m so confused

Answers

Answer:−x+6

x

Step-by-step explanation:

Midpoint Between Two Given Points
Find the midpoint of the line segment with the endpoints
(-4, -9) and (6, -5).
Midpoint =

Answers

Answer:

(1, -7)

Step-by-step explanation:

the difference between -4 & 6 is 10 so you add 5 (half) to -4 or subtract from 6, this gives you 1

you do the same for -9 and -5, the midpoint for those being -7, I hope this helps

Find the area of the figure.

rectangle with length 14
1
2
in. and width 10 in.

The area of this rectangle is in2.

Answers

Answer:

49 in.sq

I have made it in above picture

In the figure shown below, ABCD = WXYZ.

What is the length of side AB ?

Answers

Answer:

9 cm.

Step-by-step explanation:

AB=WX, it's just turned on its side

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Answers

B
Is the right answer

Solve for X

Will give brainiest

Answers

33 hdhdbsbs s s dd bdbddbbdbdbdbddbbdvdbdbdbdbdbd

Please really could use the help

Answers

X is 8 because they are similar triangles you have to get the top to equal the bottom at a bigger proportion.
X is 8.................

Original price: $? Discount: 20% Sale Price: $75​

Answers

Answer:

the answer is 60

Step-by-step explanation:

so you see that there's 20 percent right, you find what number u can add it by to get 100, so 80+20=100 so u do that and put it in a decimal form which is 0.8 and you multiply it by the price so 0.8 x 75= 60

Somebody tell me the answer to this please

Answers

Answer:

its (0, 3) or (3, 0)

Step-by-step explanation:

its not A. or D.

Answer:

[tex](3,0)[/tex]

Step-by-step explanation:

The x-intercept(s) of a function is the point(s) where the function intersects the x-axis, or the horizontal axis. If we look at the graph, we see that the function intersects the x-axis when [tex]x=3[/tex] (we know this because [tex]3[/tex] is directly in between [tex]2[/tex] and [tex]4[/tex]) and [tex]y=0[/tex], so the answer is [tex](3,0)[/tex]. Hope this helps!

I just want this to be factored

Answers

Answer:

I usually use

Step-by-step explanation:

Use  ^

the answer would be
24x2 +108x − 108

If x =3 find the value of 140+5x^2

Answers

if x=3 140+5(3)^2=185

Answer:

140+5x^2

If x =3

140+5(3^2)

3^1=3

3^2=9

So,

140+5(3^2) = 140+5(9)

                  = 140 +45

                  = 195

Step-by-step explanation:

find the height
11in 14in
h=

Answers

Answer:

[tex]h = \sqrt{72}in[/tex]

Step-by-step explanation:

We have a right triangle with long side of 11in and smaller sides 14in/2=7in and h.

We know that

[tex]h^2 + (7in)^2 = (11in)^2\\h^2 = 121in^2 - 49in^2 = 72in^2\\h = \sqrt{72}in[/tex]

3(n - 1) < 21
Does anyone know the answer and solution?

Answers

Answer:

[tex]n < 8[/tex]

Step-by-step explanation:

[tex]3n - 3 < 21 \\ 3n - 3 + 3 < 21 + 3 \\ 3n = 24 \\ \frac{3n}{3} < \frac{24}{3} \\ n < 8[/tex]

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