Mathematics High School

PLEASE HELP! find (1,2) obtained by translating 2 units down followed by a rotation of 180 counterclockwise.

Answers

Answer 1

Answer:

Please check the explanation.

Step-by-step explanation:

Translating two units down means we need to subtract two units from the y-coordinate. i.e

(x, y) → (x, y-2)

We are given that the original point is (1, 2), and we have to find the image of (2, 4) obtained by translating 2 units down followed by a rotation of 180 counterclockwise.

FOR (1, 2)

Given

P(1, 2)

First translation: Translating two units down

(x, y) → (x, y-2)

P(1, 2) → P'(1, 2-2) → P'(1, 0)

Second transformation: Rotation of 180 counterclockwise.

Rotation of 180 counterclockwise will make both 'x' and 'y' coordinates negative. i.e

(x, y) → (-x, -y)

Thus, after second transformation

P'(1, 0) → (-1, 0)

Thus, the image of (1, 2) obtained by translating 2 units down followed by a rotation of 180 counterclockwise will be: (-1, 0)

FOR (2, 4)

Given

P(2, 4)

First translation: Translating two units down

(x, y) → (x, y-2)

P(2, 4) → P'(2, 4-2) → P'(2, 2)

Second transformation: Rotation of 180 counterclockwise.

Rotation of 180 counterclockwise will make both 'x' and 'y' coordinates negative. i.e

(x, y) → (-x, -y)

Thus, after the second transformation

P'(2, 2) → (-2, -2)

Thus, the image of (2, 4) obtained by translating 2 units down followed by a rotation of 180 counterclockwise will be: (-2, -2)

Related Questions

12/7 Lesson 9 Session 2 Review on Page 208 iready book volume 1

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Answer:

I really dont understand u

i’ll mark brainlest

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the next number would be 3,125 and each time you multiply by 5 so the next number after 3,125 would be 15,625

Please help me with this one

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Answer:

Step-by-step explanation:

A taxi driver can cover a distance of 130.16 miles per gallon per 5 gallons of gas if the same taxi driver travel 60 miles at the same miles per gallon the second day what would be the best estimate of number of gallons a taxi driver use

Answers

Answer:

[tex]Gallons = 2.305[/tex]

Step-by-step explanation:

Given

Rate = 130.16 miles for 5 gallons

Required

Number of gallons used for a journey of 60 miles

The rate in miles per gallon is calculated as:

[tex]Rate = \frac{Distance}{Gallons}[/tex]

When distance = 130.16 and gallons = 5, we have:

[tex]Rate = \frac{130.16}{5}[/tex]

[tex]Rate = 26.032[/tex]

When distance = 60 miles.

Substitute 60 for distance and 26.032 for rate in [tex]Rate = \frac{Distance}{Gallons}[/tex]

[tex]26.032 = \frac{60}{Gallons}[/tex]

Cross Multiply

[tex]Gallons * 26.032 = 60[/tex]

[tex]Gallons = \frac{60}{26.032}[/tex]

[tex]Gallons = 2.305[/tex] --- approximated

If 3/4 of the 12 pencils were sharpened, then how many pencils were sharpened?

Answers

12/4= 3. 3x3=9. 9 of them were sharpened

Answer:

9 pencils were sharp

Step-by-step explanation:

3*4=12 so if three fourths were sharp then 9 were

Solve the equation for all real solutions.
k^2+8k+22=6

Answers

Answer:

Step-by-step explanation:

Here you go mate

step 1

k^2+8k+22=6 equation

step 2

k2+8k+22(-6)=6(-6) subtract -6

k2+8k+16=0

step 3

k2+8k+16=0 factor

(k+4)(k+4)=0

step 4

(k+4)(k+4)=0 set the numbers equal to zero

answer

k=-4

50% of _= 2

help!!! thanksssss

Answers

Answer:

100

Step-by-step explanation:

Answer:

Step-by-step explanation:

Help me pls, for number 19, I have absolutely no idea what I’m supposed to do.

Answers

All you have to do is take the value listed above for g(x) and set it equal to 16.

-3x+1=16.

Subtract 1 from both sides

-3x=15

divide both sides by -3

x=-5

Describe the transformation from the graph of f(x) = x + 2 to the graph of g(x) = x − 7.
I need help asap!!!!!!

Answers

the graph went down 9

hi guys can you help me can you do this calculation with the working pls
$36 - $17.85 =

Answers

Answer:

$18.15

Step-by-step explanation:

Here, we want to find the difference between the two values

what we do here simply is to subtract the second from the first

Mathematically we have this as;

36-17.85 = $18.15

A line passes through the origin and (4, 5). Which point is also on the line?

Answers

Answer:

I belive (8,10)

Step-by-step explanation:

8 is 4 twice

10 is 5 twice

It is 8,10 i think that’s right

2
Solve for x. (must show your work for credit)"
(20 Points)
7x – 11
4x - 2
20
35

Answers

Answer:

x=9

Step-by-step explanation:

7x-11 = 4x-2

7x-4x=11-2

3x=9

x=9

i will give u Brainliset rn if u answer

Answers

Answer:

11x+16y = 13

16y = -11x+13

y = -11/16x+13/16

Step-by-step explanation:

Write as a mixed number.
25/8

Answers

Answer:

3 1/8

Step-by-step explanation:

Nancy's car travels 300 miles on 12 gallons of gas. How many gallons of gas will she need in order to drive 650 miles?

Answers

The answer should be 24 gallons and a half

Help help I will make you brain list!!

Answers

Answer:

No, (8,5) is not a solution of y > x + 7

Step-by-step explanation:

Hope you got it.

Which statement is not correct?
A. The terminal side of a 45° angle is in quadrant I.
B. A 95° angle is an acute angle.
C. A 210° angle is a reflex angle.
D. A 125° angle is an obtuse angle.

Answers

Answer:

b.) because it is over 90*

Step-by-step explanation:

Please round your answer to the nearest tenth Please do NOT include the
units in your answer

9.3 cm
8.7
X

Answers

Answer:

1=9

2=9

so ye this is the answer

How do you solve this Matrix equation

x+2x-3z=-2
x-y+z=-1
3x+4y-4z= 4

Answers

Answer:

look this up and watch this video

Step-by-step explanation:

The solution of `2x + y + z = 1 , x-2y-3z = 1 , 3x +2y +4z=5` is 1)1,2,3 2) 1,2,-3 3) 1.-3.2 4)...

PLEASEEEEEEE HELPPPP!

Answers

the answers number 2

Write an explicit formula for the following sequence
14, 15, 16, 17, 18, ...

Answers

Answer:

x+1

Step-by-step explanation:

all sequences are added by one, so x+1

Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!

Answers

Answer:

The value of x is 67

Step-by-step explanation:

If two adjacent angles formed a line, then they called a pair of linear anglesThe measure of the pair of linear angles is 180°

In the given figure

∵ One side of the triangle is extended to form an exterior angle of 113°

∵ The angle of 113° and the angle of x° are adjacent angles

∵ They formed a line (the side is extended)

→ That means they formed a pair of linear angles

∴ The angle of 113° and the angle of x° formed a pair of linear angles

∵ The measure of the pair of linear angles = 180°

∴ 113° + x° = 180

→ Subtract 113 from both sides

∵ 113 - 113 + x = 180 - 113

∴ x = 67

∴ The value of x is 67

Select the number that would make this statement true: 496 ÷ ________ = 49.6 (3 points)

Answers

Answer:

The answer to this question is 10

3(3 + 3j) how do you solve this

Answers

Hi! So first thing you need to do is distribute 3 through the parentheses! Then once you solve that, that is your simplified equation!

Please give brainliest!❤️

Answer: 9j+9

Step-by-step explanation:

3(3+3j)

(3*3j)+(3*3)

9j+9

¿cual es la relacion de los conceptos: razon de cambio y derivada?

Answers

Answer:

?? I don’t speak spanish

Step-by-step explanation:

HELP!!! First one to do all gets brainliest!!!!!!!!
My mom be after me fur not doing this assignment!

Answers

Answer:

C IS 100 F is 100 they usually give numbers to subtract but ion see it

The measure of angle JLM is 140°. The measure of angle JKL is 75.

What is the measure of angle KJL

Enter your answer in the box.

Answers

Answer:

KJL is 65 degrees

Step-by-step explanation:

If JLM is 140 deg. JLK is 40 deg the two angles on transverse line must equal 180 total.

JKL being 75 degf, sum that with JLK of 40= 115 deg

180-115= 65 deg Sum of interior angles on a triangle add up to 180 deg.

At least that is how I remember it, you can also graph it and check it out.

Answer:65

Step-by-step explanation:

taking the test rn

Sarah says that 26 ÷ 8 equals 14 ÷ 4 because both are “3 R2.” Show her mistake using decimal division. What is 26 ÷ 8? Give your answer in decimals. 26 ÷ 8 =___. Please helpppppp

Answers

Answer: 3.25

Step-by-step explanation:

Sarah made a.mistaje when she was reducing 26 ÷ 8. It should be noted that 2 is a common factor to 26 and 8. Therefore 26÷2 = 13 and not 14 that Sarah wrote. Sarah should have written 13 ÷ 4 and not 14 ÷ 4.

26 ÷ 8 in decimal will give us 3.25

what is the expression value of 10?

1. (10 + 10) ÷ (5 - 3)

2. 10 + 10 ÷ (5 - 3)

3. (10 + 10) ÷ 5 - 3

4. (10 + 10 ÷ 5) - 3

Answers

Answer:

The answer is number 1 because if you put it into a calculator correctly you'll get 10

Answer:

The number one answer is 1. It's all I could say for this one, and I know I have never gotten a one-star rating, because I have always won a 5-star rating, and not one single one-star rating.

Step-by-step explanation:

Look, the answer is 1.

Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $30 monthly fee and charges an additional
$0.14 for each minute of calls. The second plan has a $22 monthly fee and charges an additional $0.19 for each minute of calls. For how many minutes of calls
will the costs of the two plans be equal?

Answers

Answer:

The plans will be equal at 160 minutes of call

Step-by-step explanation:

1st plan: y = 0.14x + 30

2nd plan: y = 0.19x + 22

0.14x + 30 = 0.19x + 22

Subtract 0.19x from both sides;

-0.05x + 30 = 22

Subtract 30 from both sides;

-0.05x = -8

Divide both sides by -0.05

x = 160

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