Point P'(-3, 2) is the image of point P(3, 8) under a translation. What is the image of (0, -6) under the
same translation?

Answers

Answer 1

Answer:

The image of the point (0, -6) under the same translation is (-6, -12)

Step-by-step explanation:

Let us revise the rules of translation

If the point (x, y) translated horizontally to the right by h units then its image is (x + h, y) ⇒ T (x, y) → (x + h, y)If the point (x, y) translated horizontally to the left by h units then its image is (x - h, y) ⇒ T (x, y) → (x - h, y)If the point (x, y) translated vertically up by k units then its image is (x, y + k)→ (x + h, y) ⇒ T (x, y) → (x, y + k)If the point (x, y) translated vertically down by k units then its image is (x, y - k) ⇒ T (x, y) → (x, y - k)

∵ The coordinate of point P are (3, 8)

∵ The coordinates of its image P' are (-3, 2)

→ The x-coordinate is changed from 3 to -3, that means the point

   translated to the left by h units

∵ h = -3 - 3

h = -6

→ The y-coordinate is changed from 8 to 2, that means the point

   translated down by k units

∵ k = 2 - 8

k = -6

→ By using the rule above

∴ The rule of translation is (x, y) (x - 6, y - 6)

∵ The coordinates of the point are (0, -6)

∴ The coordinates of its image are (0 - 6, -6 - 6)

The coordinates of its image are (-6, -12)


Related Questions

What are the slope and the y-intercept of the line shown in the graph?

A. y-intercept = 2 and slope = -3
B. y-intercept = 2 and slope = 3
C. y-intercept = 3 and slope = 2
D. y-intercept = -3 and slope = 2

Answers

Answer:

A

Step-by-step explanation:

The y intercept is where the line crosses the Y (vertical) axis. In this case, it happens at y=2

The slope is the rate of change. For every 1 space it moves on the horizontal axis, it moves 3 vertical spaces. It is going down, so it is -3

What is the equation of this line in slope intercept form? A.y=3x+1 B.y= -1/3x -1 C.y= -3x - 1 D.y= 3x - 1

Answers

Answer:

C

Step-by-step explanation:

27 = -4x + 11
I need it done ASAP

Answers

27=-4x+11

27-11= 16

16/-4= -4

x=-4

[tex]\text {Hello! Let's Solve this Equation!}[/tex]

[tex]\text {\underline {The First Step is to Flip the Equation}}[/tex]

[tex]\text {Before: 27=-4x+11}\\\text {After: -4x+11=27}[/tex]

[tex]\text {\underline {The Next Step is to Subtract 11}}[/tex]

[tex]\text {-4x+11-11=27-11}[/tex]

[tex]\text {Your New Problem Is: -4x=16}[/tex]

[tex]\text {\underline {The Final Step Is to Divide -4}}[/tex]

[tex]\text {-4x/-4=16/-4}[/tex]

[tex]\text {Your Answer Would Be:}[/tex]

[tex]\fbox {x=-4}[/tex]

[tex]\text {Best of Luck!}[/tex]

help help HELP!!! PLEASE

Answers

Grapth the line using the slope and y intercept or two points
Slope 1/2
y intercept (0,1)
x y
-2 0
0. 1

Use the zero product property to find the solutions to the equation 2x2 + x – 1 = 2.

Answers

[tex]2 {x}^{2} + x - 1 = 2 [/tex]

Subtract sides -2

[tex]2 {x}^{2} + x - 1 - 2 = 2 - 2 [/tex]

[tex]2 {x}^{2} + x - 3 = 0 [/tex]

[tex](x - 1)(2x + 3) = 0[/tex]

_________________________________

[tex]x - 1 = 0[/tex]

[tex]x = 1[/tex]

##############################

[tex]2x + 3 = 0[/tex]

[tex]x = - \frac{3}{2} \\ [/tex]

_________________________________

Done♥️♥️♥️♥️♥️

Answer: I think its C on edge

Please Help Me!!!! ;)

Answers

Answer:

Value of x: 110

Step-by-step explanation:

5+5=10

120-10=110

f(x)= -3/4x+6

Find the inverse I need help pretty bad please help!!

Answers

Answer:

f⁻¹(x)= - 4x/3 +8

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

What are the solutions to the quadratic equation 3(x − 4)2 = 75?

x = −9 and x = 1
x = −5 and x = 5
x = −4 and x = 4
x = −1 and x = 9

Answers

Answer:

x=-1 and x=9

Step-by-step explanation:

[tex]3(x-4)^{2} =75[/tex]

[tex](x-4)^{2} =\frac{75}{3}[/tex]

[tex](x-4)^{2}[/tex]=[tex]25[/tex]

[tex](x-4)(x-4)[/tex]=[tex]25[/tex]

[tex]x^{2} -4x-4x+16[/tex]=[tex]25[/tex]

[tex]x^{2} -8x+16[/tex]=[tex]25[/tex]

[tex]x^{2} -8x+16-25=0[/tex]

[tex]x^{2} -8x-9=0[/tex]

[tex](x-9)(x+1)=0[/tex]

[tex]x-9=0\\x=0+9\\x=9[/tex]        [tex]x+1=0\\x=0-1\\x=-1[/tex]

therefore x=9 and x=-1

Answer:

the answer is d x = −1 and x = 9

Step-by-step explanation:

Round 463,751 to the nearest hundred.

Answers

Answer : 463, 800


Explanation:

Answer:

463,800

Step-by-step explanation:

:) watch this be wrong lol

Use the described technique to solve the equation describing the following problem:
A city taxi driver charges $2 per kilometer and has a starting fee of $9. An Uber driver charges $5 per kilometer, but has no starting fee. At which distance (in kilometers) will the price of taking an Uber be equal to the price of taking a city taxi?

Answers

Answer:

Taxi Driver: 9+2x=

Uber Driver: 5x=

So we just gotta keep multiplying until we find where they’re equal. So let’s assume that when we can get the Taxi Drivers price to have a 5 in the tens place or a 0 in the tens place. By the looks of it, they will meet at 15$ for that to happen let x=3, which would make the taxi driver’s equation 9+2(3), 9+6=15$, and the uber driver’s equation would be 5(3)=15$. X=3 or X=distance in kilometers.

John ran for president of the chess club. Of the 325 members in the chess club, 195 members voted for John. What percent of students voted for John?

can someone help me out.

Answers

Answer:

65%

Step-by-step explanation:

325-195=130

130/200= 65

Anne plans to increase the prices of all the items in her store by 5%. To the nearest cent, how much will
an artist save if the artist buys a canvas and a frame that each measure 24 by 36 inches before the
price increase goes into effect

Answers

Answer:

Step-by-step explanation:

We don't know the first price?

A seamstress was hired to make band uniforms for Hinsdale High school. The seamstress bought 148 yards of material. There were 16 students in the concert band and 20 students in the symphonic band. How much material did she have for each uniform?
A. 36/9 yards
B. 37/9 yards
C. 35/9 yards
D. 38/9 yards

Answers

Answer:

No estoy seguro, intenta preguntarle a tu profesor

Step-by-step explanation:

The seamstress had 37/9 yards of material for each uniform.

What is division?

In mathematics, division is a process of dividing a number into equal parts and calculating the maximum number of equal parts that can be made.

How to solve it?

Given that total amount of material = 148 yards

number of students in the concert band = 16

number of students in the symphonic band = 20

Total number of students = number of students in the concert band + number of students in the symphonic band

= 16 + 20 = 36

For 36 students, there are 148 yards of material.

Then for 1 student, there are 148/36 = 37/9 yards of material.

Therefore the seamstress had 37/9 yards of material for each uniform. So, option B is correct.

Learn more about division here -

https://brainly.com/question/14692277

#SPJ2

Chapter 4, Final Chapter! - What is the Slope?

Answers

Answer:

The Slope is -1/3

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest

do i use mean and standard deviation or median and interquartile range?

Answers

Answer: median and interquartile range

Step-by-step explanation:

Use the picture below to answer Problems 1 and 2.

1. Describe a sequence of translations that would map Figure H onto Figure K.
2. Describe a sequence of translations that would map Figure ) onto itself.

Answers

Answer: 1. Describe a sequence of translations that would map Figure H onto Figure K.

⃗⃗⃗⃗⃗⃗

Translate Figure H along vector , and then

⃗⃗⃗⃗⃗⃗ translate the image along vector .

⃗⃗⃗⃗⃗⃗

Translate Figure H along vector , and then

⃗⃗⃗⃗⃗⃗ translate the image along vector .

2. Describe a sequence of translations that would map Figure J onto itself.

⃗⃗⃗⃗⃗⃗

Translate Figure J along vector , and then

⃗⃗⃗⃗⃗⃗ translate the image along vector .

⃗⃗⃗⃗⃗⃗

Translate Figure J along vector , and then

⃗⃗⃗⃗⃗⃗ translate the image along vector .

Step-by-step explanation:

A calculator screen shows a number in scientific notation as 4.67e-8 write this number in standard form

Answers

Answer:

467 000 000

Step-by-step explanation:

4.67e-8 is rewritten as 4.67 x 10^-8.

Negative -> decimal with lots of places, Positive -> big, big number

Move the decimal place right 8 times so you end up with a small decimal.

4.67 -> 467000000

State the minimum monthly income and hourly wage per worker needed to cover monthly expenses for the family you used in part a. Then, explain how to calculate the hourly wage based on the monthly income and state the hourly wage. Assume that each full-time worker works four 40-hour work weeks per month, and each part-time worker works two 40-hour weeks per month.
HOUSING $1,386

FOOD $804

CHILD CARE $1,709

Transportation $1,235

HEALTH CARE $908

OTHER NECESSITIES $884

TAXES $1,483

Monthly Total $8,409

Annual Total $100,909

Answers

Answer:

these teachers b expectin u to do this bs

Step-by-step explanation:

I Need A Expert To Answer This! Find The Measure Of The indicated Angle In The Diagram.

Answers

Answer:

So,you're answer will be 21°{degree}..

Answer:

  m∠YPQ = 159°

Step-by-step explanation:

m∠QRP = 107

m∠RQP = 52

m∠RPQ = x

m∠QRP + m∠RQP + m∠RPQ = 180°

107 + 52 + x = 180

159 + x = 180

x = 21°

m∠RPQ = x = 21°

m∠RPQ + m∠YPQ = 180°

21° + m∠YPQ = 180°

m∠YPQ = 159°

On average, Johanna drinks 2/3 of a 12 ounce can of soda in one hour.

How much does she drink in one and a half hours?

Answers

Answer:

12oz or a whole can of soda in 1 hour 30 minutes.

Step-by-step explanation:

[tex]\frac {2} {3}[/tex] of 12 is 8, so that means the Johanna drinks 8oz of soda in 1 hour, this means that Johanna also drinks 12oz of soda in 1 hour 30 minutes.

The graph of a linear function is shown.


Which word describes the slope of the line?

positive
negative
zero
undefined

Answers

the answer is negative slope

What is the sign of the product if you multiplied three negative integers?

Answers

Answer:

negative

Step-by-step explanation:

Answer:

negative

Step-by-step explanation:

negative times negative is positive

then, the positive times negative is negative

Complete the factorization of 3x2 – 10x + 8.

3x^2 – 10x + 8 = (x – _ )( _ x – 4)

Answers

(3x-4)(x-2) is the answer

Answer:

picture of answer on edge 2023.

Step-by-step explanation:

write four integers between -10 and 3​

Answers

Answer:

-4, -3, -2, -1

Step-by-step explanation:

all the integers between -10 and 3

-9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2

Answer:

-9, -8, 2, 1

Step-by-step explanation:

Integers are whole number that can either be positive or negative.

2. Tina uSUally brings her children every Sunday afternoon at the children's park in their barangay. The park is 350m Iong and 200m wide complete with slides and
swings for children to play. If is surounded by a pathway of unifom width for children who loves biking and jogging. Suppose the total area of the park and the pathway is 74,464 m2.


a. How wide is the pathway of the park?
b. If you were Tina, woulad you like your children fo go biking and jogging in that park?​

Answers

Answer: kindly check explanation

Step-by-step explanation:

Given the following :

Total area of parknand path way = 74,464 m2.

Dimension of park = 350m by 200m

Using the area of rectangle formula:

Area = Length * width

Area of park = 350m * 200m

Area of park = 70,000

Area of path = (74,464 - 70,000) = 4,464m2

Since path has uniform width, then width of the the path is sqrt(4464) = 66.8m

2.) the path of the park seems a bit narrow, hence, I wouldn't love children to bike and jog in such a narrow path

Help!!!!!!!!!!!!!!!!
Find the values of the letters​

Answers

Answer:

A = -3

B = 5

Proof:

A ⇒ -3+5 = 2

B ⇒ 3+2 = 5

Answer:

7=A 6=B

Step-by-step explanation: 37+25=62

are irrational numbers intergers

Answers

Answer:

No they are not intergers

Step-by-step explanation:

Hope this helps

PLEASE HELP
-1 2/3 + (-2 1/6) A. Use the real number properties to write an equivalent expression for this sum.
B. Find the sum. Express your answer as a mixed number in lowest terms. ​

Answers

Answer:

-3 5/6

Here is what i did to solve it.:

-1 2/3 = -5/3, and -2 1/6 = -13/6.  The LCD is 6.

We convert -5/3 to -10/6 and combine this result with -13/6:

-10/6 - 13/6 = -23/6

This last result can be rewritten as -3 5/6.

Hope this help, stay safe and have a nice day! :))))))

Answer:

-3 5/6

Here is what i did to solve it.:

-1 2/3 = -5/3, and -2 1/6 = -13/6.  The LCD is 6.

We convert -5/3 to -10/6 and combine this result with -13/6:

-10/6 - 13/6 = -23

larry gets a 5% wage rise. his new wage is £252 per week. what was larrys wage before his wage rise

Answers

The raise was 5% which is 0.05 as a decimal.

For his new rate his original rate was multiplied by 1.05 ( original + 5%)

To find original amount, divide new amount by 1.05:

252 / 1.05 = 240

His original pay was £240

You can check by multiplying the original pay by 5% and adding:

240 x 0.05 = 12

240 + 12 = 252

What is the equation of the line?

Answers

Answer:

y = 2/3x + 4

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest!

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