If IM is reflected across the x-axis and then translated along the vector <4, 1>, in
which quadrant is the final image?

If IM Is Reflected Across The X-axis And Then Translated Along The Vector &lt;4, 1&gt;, Inwhich Quadrant

Answers

Answer 1

Answer:

Final image L"M" will lie in the fourth quadrant.

Step-by-step explanation:

Coordinates of the ends of segment LM,

L  → (-3, 4)

M → (-3, 2)

Rule to reflect a point across x-axis is,

(x, y) → (x, -y)

By this rule, coordinates of the image point of L and M will be,

L(-3, 4) → L'(-3, -4)

M(-3, 2) → M'(-3, -2)

Further these image points are translated along the vector <4, 1>

Rule for this translation will be,

(x, y) → (x + 4, y + 1)

Now the image points of the points L' and M' will be,

L'(-3, -4) → L"(-3 + 4, -4 + 1)

             → L"(1, -3)

M'(-3, -2) → M"(-3 + 4, -2 + 1)

              → M"(1, -1)

Therefore, final image L"M" will lie in the fourth quadrant.


Related Questions

help read the instructions first​

Answers

Answer:

Step-by-step explanation:

Find attached the second one

You and two friends go to the town carnival. You have a coupon for $20 off that will save your group money! If the total bill to get into the carnival was $70,
how much does one regular price ticket cost? Write the equation.
Solve the equation

Answers

Is the total including the coupon or no if it’s not including the coupon it’s 23.333333

Out of some students appeared in an examination,
80% passed in English, 75% passed in Science and
5% failed in both subjects. If 300 of them were
passed in both subjects, how many students were
appeared in the examination? Find it by using a
Venn-diagram
(Ans: 500​

Answers

Answer:

500 students appeared in the examination.

Step-by-step explanation:

Each event represents a set in the Venn diagram, and we use it to find the desired values.

I am going to say that:

Event A: Passed in English.

Event B: Passed in Science.

80% passed in English

This means that [tex]P(A) = 0.8[/tex].

75% passed in Science

This means that [tex]P(B) = 0.75[/tex]

5% failed in both subjects.

This means that 100% - 5% = 95% passed at least one of these subjects, so [tex]P(A \cup B) = 0.95[/tex].

Proportion that passed both subjects:

This is [tex]P(A \cap B)[/tex]

These percentages are related by the following equation:

[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex]

So

[tex]P(A \cap B) = 0.8 + 0.75 - 0.95 = 0.6[/tex]

Number of students in class:

60% of the total number t passed both subjects. This is equals to 300. So

[tex]0.6t = 300[/tex]

[tex]t = \frac{300}{0.6}[/tex]

[tex]t = 500[/tex]

500 students appeared in the examination.

A rectangular field 50 metres wide and x metres long required 260 metres of fencing​

Answers

Answer:

x=80

Step-by-step explanation:

im going to assume this is perimeter.

50+50=100

260-100=160

160÷2=80

Answer:

5.2 metres in length I think

Step-by-step explanation:

you didnt exactly put a question, but this seems like a problem where you have to divided the volume by the width to find the length, so 260 divided by 50 is 5.2. I apologize if it is wrong, like I said, there wasn't a question so i was confused.

Help me this is due today!!!!!!!!
Mr. Dyer left a $12.60 tip at a restaurant. This represented 18% of his family’s dinner bill. What was the amount of the family’s dinner bill?

Answers

Answer:

$70

Step-by-step explanation:

$12.60 / .18 = $70

I hope this is right, but I am thinking it is since you have to multiply by .18 to get the tip value.

PLEASE HELP ME QUICKLY!! The graph shows the number of eggs a farmer collected from each chicken pen one morning. How many more eggs were collected from pen 3 than from pen 2 & 5? (Each egg = 5 eggs)

Answers

Answer:

Pen 2 = 5 eggs

Pen 3 = 25 eggs

Pen 5 = 10 eggs

It is asking how many MORE eggs does pen 3 have from BOTH pens 2 and 5. Add 2 and 5. But remember one egg = 5 eggs so as stated in the beginning pen 2 has 1 egg which equals 5 eggs and pen 5 has 2 eggs which equals 10.

5 + 10 is?

15, exactly. So how many more eggs does pen 3 have? 15 + one more egg is 20 and pen 3 has 25 which is more than 20 so let’s add another egg which again equals 5.

Now we have 25 eggs, the exact amount pen 3 has. The answer is 2 more eggs/10 more eggs.

Step-by-step explanation:


Bill put $1000 into a simple interest saving account that earns 6.25% interest. How much will
the account be worth in 5 years?

Answers

Answer:

1,800

Step-by-step explanation:

divide 1,000 by 6.25 and we get

160 then we multiply 160 by 5 and we

get 800 so Bill's Bill's bank account will be worth

1,800 in 5 years

Martin jogged 45 minutes everyday for 21 days how many minutes did he jog over the 21 days

Answers

The answer is 945 minutes.
45x21= 945

Hope this helps! :)

Answer:

45(21)=945 Minutes

Step-by-step explanation:

You multiply 45 minutes for everyday. Since there is 21 days you multiply by 21. So you do 45(21).

Helppppp I willl give u the brainlest!!!!!
What is the diameter, radius, 2, and circumference?
12 in
d-
pan2
Circumference

Answers

Answer:

diameter is 4

Step-by-step explanation:

Triangle RST has vertices R(–1, 1), S(3, 1), and T(3, –4). What
are the coordinates of the image of RST after a translation 4 units to the left and 2 units down?

Answers

Answer:

R'(-5, -1) S'(-1, -1) T'(-1,-6)

Step-by-step explanation:

because the triangle is moving to the left, you subtract the number of units from the x coordinates of each vertex of the triangle. becasue the triangle is moving down, you subtract the number of units moved down from the y coordinates of each vertex.

In ΔSTU, s = 150 cm, t = 430 cm and u=470 cm. Find the measure of ∠U to the nearest degree.

Answers

Answer: 96∘

Step-by-step explanation:

The measure of angle  U is 96°.

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

s = 150 cm

t = 430 cm

u = 470 cm

The Cosine rule of a triangle.

a² = b² + c² - 2bc Cos A

Now,

u² = s² + t² - 2st Cos U

Cos U = (s² + t² - u²) / 2st

Cos U = (22500 + 184900 - 220900) / 129000

Cos U = -0.10

U = 95.7

U = 96°.

Thus,

The angle U is 96°.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ5

work out the value of x

Answers

Answer:

Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

I hope it's helpful!

Draw a graph of Andre’s distance as a function of time in this situation.

Answers

Answer: it is the variable

Step-by-step explanation:

What is 50% of 20?.........................

Answers

Answer:

10

Step-by-step explanation:

50%, or 1/2 of 20 is 10.

Answer:

10!

Step-by-step explanation:

50% is half, so half of 20 is 10!

the measure of an angle is 177.5 what is the measure of its supplementary angle ​

Answers

Answer:

yes yes yes yes yeah yes yes yes yes

Step-by-step explanation:

the. yes gods will take over earth

Which of the following relations is a function?
{(-2,0),(-1,0),(0,1),(1,0)}
{(0,-2),(-1,1),(1,-1),(0,1)}
{(-1,-1),(-1,0),(-1,1),(0,-2)}

Answers

-2,0, -1,0, 0,1 , 1,0

Solve for m.
— 5т.
-35

Answers

Sorry hun, there is no m to solve for? I think you are missing the equation m?

A woman buys a pair of shoes at a sale. She pays $45, saving
$15 on the normal price. The percentage discount on the pair of shoes is

Answers

Answer:

33.3%

Step-by-step explanation:

The length of a rectangle is twice the width. The area is 32 yd2. Find the length and the width.

Answers

W=4 ANS. FOR THE WIDTH. L=2*4=8 ANS.

Mark as brainlist

Suppose you are driving to visit a friend in another state. You are driving 65 miles per hour.
You must drive 520 miles total. If you have already driven 195 miles, how long will it take you
to reach your destination? Use h to represent the number of hours it will take to reach your
destination. Use the equation 65h+195 = 520.
A.2 hours
B. 5 hours
C. 15 hours
D. 22 hours

Answers

Answer:

b.5 hours

520-195=325

325/65=5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

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

Please answer these questions on circumference for BRAINLIEST and extra points if correct!

Answers

Answer:

1 a: 1.46

2 a : .73

3 a : 1.54

____

1 b: 9.42

2 b: 2.9

3 b: 16.96

- I hope that helps :)

Step-by-step explanation:

detrmine if 7, 5, 84, 48 are in proportion or not​

Answers

Answer:

No, the numbers are not in proportion

Step-by-step explanation:

The proportion between the first two and the second two numbers are:

7/5 and 84/48

Simplifying the second fraction:

84/48 = 7*12/4*12 = 7/4

Comparing the fractions:

7/5 ≠ 7/4

The answer is no

i will give you are brainliest if you answer answer question 36 and 37

Answers

Answer:

36) A, 396

37) D, 114 km per lit

Step-by-step explanation:

36) 404 - 8 = 396

37) 112 / 8 = 14

Derwin used 6 gallons of paint to paint two rooms. He used 4 gallons to paint one of the rooms. The equation g + 4 = 6 can be used to find the number of gallons g he used to paint The other room. How many gallons of paint did Derwin use to paint the other room?

Answers

Answer:

He used 2 gallons to paint the other room.

Step-by-step explanation:

g=2

Because 2+4=6

If you subtract 4 from 6 it equals 2.

Hopefully it helps.

PLEASEEEEE HWLP 10 points hehehheh

Answers

Answer:

just count the blocks inside the blue line

35

Area of the rectangle**

helllllllp PPPLZZZZZZZZZZ

Answers

Answer:

b because the overall problem has a little four witch makes all those numbers in the problem multiplied by 4

Step-by-step explanation:

To cut a 4 inch ribbon into 7 equal
Lengths what would be the length of each ribbon after cutting

Answers

Answer:

0.5714285714

Step-by-step explanation:

4/7 = 0.5714285714

is 17.61 rational or irrational

Answers

Answer:

It is an Irrational Number

The seat of a bench is in the shape of a trapezoid with bases of 6 feet and 3 feet and a
height of 1.5 feet. What is the area of the seat?
The area of the seat is
ft.

Answers

Answer:

6.75 ft^2

Step-by-step explanation:

The area of the seat can be calculated as follows

a + b/2 × h

6+3/2 × 1.5

9/2 × 1.5

4.5× 1.5

= 6.75 ft^2

Hence the area of the seat is 6.75ft^2

Can someone please help

Answers

Answer:  5y^3-7x^5

Step-by-step explanation:

Answer:

to be honest do the liked term method and that is probably going to get u yout answer

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