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XYZ has vertices X(15,−8), Y(13, 21), and Z(−17, 17). Which of the following represents the translation of △XYZ along vector <−6, 5> and its reflection across the x-axis?

Answers

Answer 1

Answer:

X (15, −8) → X ′(9, −3) → X ″(9, 3);

Y (13, 21) → Y ′(7, 26) → Y ″(7, −26);

Z (−17, 17) → Z ′(−23, 22) → Z ″(−23, −22)

Step-by-step explanation:

Use the translation vector <−6, 5>  to determine the rule for translation of the coordinates: (x, y)→ (x+(−6),y + 5).

Apply the rule to translate vertices X(15 ,−8), Y(13, 21) , and Z(−17, 17) .

X (15,−8) → (15 + (−6),−8 + 5) → X'(9, −3).

Y (13, 21) → (13+ (−6), 21 + 5) → Y' (7, 26).

Z (−17, 17) → (−17 + (−6), 17 + 5) → Z' (−23, 22).

To apply the reflection across x-axis use the rule for reflection: (x, y) → (x, −y).

Apply the reflection rule to the vertices of △X'Y'Z'.

X' (9, −3) → X'' (9, 3).

Y' (7, 26)→Y''(7, −26).

Z' (−23, 22) → Z'' (−23, −22).

Therefore,

X (15 ,−8) → X' (9, −3) → X'' (9, 3)

Y (13, 21) → Y' (7, 26) → Y'' (7, −26)

Z (−17, 17) → Z' (−23, 22) → Z'' (−23, −22)

represents the translation of △XYZ along vector <−6, 5>  and its reflection across the x-axis.


Related Questions

there were 7 pizzas. 5 people ate all of the pizzas, each person ate an equal amount of pizza. how much pizza did each person eat

Answers

Answer:

1 2/5 pizza each

Step-by-step explanation:

I think this is QUITE obvious but

you divide 7 by 5 because its an equal amount per person which gives you 7/5 = 1 2/5

Answer:

1.4 of the pizza or [tex]1\frac{2}{5}[/tex] of the pizza

Step-by-step explanation:

Do 7 ÷ 5   (7 pizzas divided among 5 people)

Each person ate 1.4 or [tex]1\frac{2}{5}[/tex] pizza

Select the correct answer.
What does an individual's effective tax rate indicate?
Α.
the average Income earned
B.
the average tax rate
C.
the minimum tax rate
D.
the next year's tax rate

Answers

Answer: B

Step-by-step explanation:

An individual's effective tax rate is the average tax rate.

plz help me 5th grade work

Answers

Answer:

8 AND 12

Step-by-step explanation:

MAURICE 8

MIRANDA 12

Maurice 8

Miranda 12

please help asap!!! 20 points!! 6th grade math.

Answers

Answer:

What? i can't even read it

Step-by-step explanation:

4log(2) x + log(2)5 = log(2)405

Answers

Answer:

3/2

Step-by-step explanation:

PLS HELP ME ASAP! FOR 15 POINTS AND DONT GIVE ME A LINK
Select the correct answer.
What is the solution to this system of equations?

x − 2y = 15
2x + 4y = -18

A. x = 1, y = -6

B. x = 1, y = -7

C. x = 3, y = -6

D. x = 3, y = -7

Answers

Answer:

C. x = 3, y = -6 is the answer.

Step-by-step explanation:

1. Isolate x for x = 2y = 15 -> x = 15 + 2y

2. Substitute x = 15 + 2y -> [2 (15 + 2y) + 4y = -18]

3. Simplify -> [30 + 8y = -18)

4. Isolate y for 30 + 8y = -18 -> y = -6

5. For x = 15 + 2y, substitute y = -6 -> x = 15 + 2(-6)

So, x = 3 and y = -6 are the solutions to this system of equations.

Hope this helps! :)

And also you should use Symbolab, it gives all the answers and steps

Determine which of the lines, if any, are parallel or perpendicular. Explain.

Answers

answer:
line a and b are parallel
line c is not perpendicular because it is not 3

step-by-step explanation:
if the slope is the same it is parallel
if the slope is the complete opposite it is perpendicular
lines a and b are parallel with a slope of -1/3
(0, 5) (3, 4)
m = 4 - 5 / 3 - 0
m = -1 / 3
m = -1/3
(-1, 1) (2, 0)
m = 0 - 1 / 2 + 1
m = -1 / 3
m = -1/3
line c is perpendicular to lines a and b the slope is
(0, 0) (2, 5)
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m = 5/2
2.5

The sum of a number and 45 plz need the answe

Answers

Answer:

n + 45

Step-by-step explanation:

The question is asking to write an algebraic expression for the sum of a number and 45. We know we are adding a number to 45. So we use addition. But, we don't which number we are adding to 45. So we just use a variable. I used "n", but use whatever letter you want ( x, y, z, etc). I recomend using the same variable that your intrcuctor uses.

Hope this helps.

WILL




GIVE


BRAINLIST ANSWER

..
.
.
.
.

Answers

Click on the picture for the graph!

Remember to label!

Hope this helps! Have a great day!

Which of the below is the correct name for a plane that contains points A, B, C, and D?
plane CDE
plane CD
⭐️plane ACD
plane A

Answers

Answer:

 

Step-by-step explanation:

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Answers

Answer:

whats the question?

Step-by-step explanation:

Can you please upload a question?There isn’t anything I can use to answer it sorry

A 14-oz iced tea at a certain restaurant has 126 calories. How many calories are there in
The 20-oz iced tea has
calories

Answers

Answer:

[tex]180\:\text{calories}[/tex]

Step-by-step explanation:

The question implies a constant rate or distribution of calories. Therefore, we can set up the following proportion:

[tex]\frac{14}{126}=\frac{20}{x},\\14x=20\cdot 126,\\14x=2520,\\x=\boxed{180\:\text{calories}}[/tex]

Which set of angle measures would determine a triangle?
A. 750, 150, 10°
B. 150°, 20°, 50°
O C. 50°, 50°, 100°
D. 75º, 5º, 100°
E. 70°, 60°, 40°

Answers

Answer: I think it’s E

Step-by-step explanation:

Answer:

D. 75°, 5•, 100°

Step-by-step explanation:

All angles in a triangle add up to 180°

Find a formula for a geometric sequence that begins 12,4,4/3

Answers

Answer:

k

Step-by-step explanation:

Which expression can be used to find the height of the cone below?
V = 30ft³ B = 80ft²
A.30 = 1/3(8h)
B.8 = 30h
C.30 = 8h
D.8= 1/3(30h)​

Answers

Answer:

A. 30 = ⅓(8h)

Step-by-step explanation:

Volume of cone (V) = 30 ft³ (given)

Base area (BA) = 8 ft² (given)

height = ?

Formula for volume of a cone = ⅓*B.A*h

Plug in the values into the equation

30 = ⅓*8*h

30 = ⅓(8h)

Expression to find the height will be 30 = ⅓(8h)

What is product of 3x-4 an 5x^2-2x+6
help me please, please, please

Answers

(3x-4)(5x^2-2x+6)
15x^3-6x^2+18x-20x^2+8x-24
15x^3-26x^2+26x-24

Step-by-step explanation:

[tex]thank \: you[/tex]

SIMPLIFY
3(4x+4)-4=?

Answers

12x+8 is the answer

Answer:

12x+8

Step-by-step explanation:

3( 4x+4)-4 ( Remove the parentheses)

12x+12-4 Calculate

the answer would be 12x+8

40% is NOT equivalent to....?
A. 0.4
B.2/5
C.40/100
D. 0.04
E. None correct

Answers

Answer:

d

Step-by-step explanation:

d is .04 percent plz mark branliest

radio y diametro de
55.292cm

Answers

Answer:

Radio es 8.799974535 cm

Diametro es 17.59994907 cm

Explicación paso a paso:

Como tienes la medida en cm, me indica que es el perimetro del circulo

C=πd

55.292=3.1416 d

\frac{55.292}{3.1416} =d

3.1416

55.292

=d

17.59994907=d

Para sacar radio hay que dividir entre 2

r=8.799974535

Allie made the line plot below to show the lengths of strings she cut for her art project.
What is the difference in length between the length of string she used most often and the length of string she used least often?
how can she die Lol free pts man LOL

Answers

Answer:

1/4, or 0.25 inches

Step-by-step explanation:

You count the dots. The number of dots tell you how many of each length of string she used.

You first find the column with the most dots, and then you find the column with the least. Then you just subtract them, the number of inches it displays on the bottom, 12 1/2 - 12 1/4, which is 1/4. I did this in my head and you can use a calculator if you want.

Thanks for the points, and have a blessed day. Hope this helps.

Answer:

Im pretty sure you acc was deleted so whatever dude the length was 69 inches and 420 millimeters

Determine the volume!

Answers

Answer:
I can’t see the picture

Explanation:
What do you need help with?

A town is trying to determine if a new recycelin incentive would increase the number of people thatseperate their garbage from recycable iems. to make this determination a simple random sample of 10 streets and the number of people that recycle on these streets is countedonce before and once after the recycling incentive has been intitated. the date shows a mean difference of3.78 and a standard deviation of 1.33.

Required:
Determie if the recycling incentive was effectiive with a 5% significnc level.

Answers

Answer:

The recycling incentive was effective at  5% significance level.

Step-by-step explanation:

The null and alternative hypothesis are

H0 u1≤  u2 against the claim Ha: u1> u2

or

H0 ud=0 against the claim  Ha: ud > 0

The significance level is ∝=0.05

Data given

d`= 3.78

sd= 1.33

n= 10

The test statistic is

t= d`/ sd/ √n

t= 3.78/1.33/√10

t= 9.3889

The critical region for  ∝=0.05 and df.= (n-1)= 9 is t> 1.833

Since the calculated value of t lies in the critical region it is concluded that  new recycling incentive would increase the number of people that seperate their garbage from recyclable items.

H0 is rejected and Ha is accepted.

the perimeter of a square bulletin board is 280 cm how long is one of its side
i follow who answer this;)​

Answers

Answer:

70cm

Step-by-step explanation:

Perimeter of square= 4×Side

280/4=Side

70=Side

70cm

hope it helps

[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]

Perimeter of square = 4a

280 = 4a

a =

[tex]280 \div 4 = 7 0 [/tex]

Side = 70cm

Thanks Hope it helps

Here is the problem for you :)

Answers

Answer:

Angle Y:

Sin(Y) = 36/39, if simplified: 12/13, in decimal it would be: 0.92Cos(Y) = 15/39, if simplified: 5/13, in decimal it would be: 0.38Tan(Y) = 36/15, if simplified: 12/5, in decimal it would be: 2.4

Angle X:

Sin(X) = 15/39, if simplified: 5/13, in decimal it would be: 0.38Cos(X) = 36/39, if simplified: 12/13, in decimal it would be: 0.92Tan(X) = 15/36, if simplified: 5/12, in decimal it would be: 0.42

Hope this helps!

Please help me :( I feel worthless because of math

Answers

Answer:

I think 262 is the right answer.

Step-by-step explanation:

Don't feel worthless because of math! Math is a diffcult to understand subject, and a real pain in the butt.

the product of 6 less than a number and 4 more than the
number

Answers

Answer:

(x-4)(x+8)

Step-by-step explanation:

you have money for the amusement park you spent $6 on bumper cars and have $12 left and solve an equation that gives the amount of money you started with.​

Answers

12+6 right? I think

Answer:

The expression ( Unsolved equation ) would be 12 + 6 = X .

The answer would be X = 18 .

Please give me Brainliest ! :)

Class A has 12 pupils and class B has 25 pupils.
Both classes sit the same maths test.
The mean score for class A is 80.
The mean score for both classes is 74.
What is the mean score (rounded to 2 DP) in the maths test for class B?

Answers

Answer:

71.12

Step-by-step explanation:

80*12= 960

37*74=2738

2738-960=1778

1778/25=71.12

Answer:

71.12

Step-by-step explanation:

80*12= 960

37*74=2738

2738-960=1778

1778/25=71.12

Mark it as brainly please

which parent function have a domain of all real numbers? select all that apply.

Answers

Answer:

1 2 4 and 6 i believe these are right i checked

From a 60-ft observation tower on the coast, a Coast Guard officer sights a capsized boat. The angle of depression to the
boat is 5º. How far is the boat from the shoreline?
A. 173 ft
B. 523 ft.
C. 686 ft.
D. 60 ft.

Answers

C

How far is the boat from the shoreline? C. 686 ft.

The answer to this is C
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