The vertices of a figure are FC -9,- 9),G-3, -6),H(-3,-9). Find the coordinates of the image after a dilation with a scale factor of 2 3 and then a translation 6 units up.​

Answers

Answer 1

Transformation involves changing the size and position of a figure.

The new coordinates of the figure is:

[tex]\mathbf{F" = (-6,0)}[/tex]

[tex]\mathbf{G" = (2,2)}[/tex]

[tex]\mathbf{H" = (-2,0)}[/tex]

The coordinates are given as:

[tex]\mathbf{F = (-9,-9)}[/tex]

[tex]\mathbf{G = (3,-6)}[/tex]

[tex]\mathbf{H = (-3,-9)}[/tex]

When the figure is dilated by 2/3, the new coordinates are:'

[tex]\mathbf{F' =\frac 23 \times (-9,-9) = (-6,-6)}[/tex]

[tex]\mathbf{G' =\frac 23 \times (3,-6) = (2,-4)}[/tex]

[tex]\mathbf{H' =\frac 23 \times (-3,-9) = (-2,-6)}[/tex]

When the figure is further translated up by 6 units, the new coordinates are:

[tex]\mathbf{F" = (-6,-6 + 6) = (-6,0)}[/tex]

[tex]\mathbf{G" = (2,-4 + 6) = (2,2)}[/tex]

[tex]\mathbf{H" = (-2,-6 + 6) = (-2,0)}[/tex]

Hence, the new coordinates are:

[tex]\mathbf{F" = (-6,0)}[/tex]

[tex]\mathbf{G" = (2,2)}[/tex]

[tex]\mathbf{H" = (-2,0)}[/tex]

Read more about transformation at:

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Answer 2

Answer:

F is (-6,0) and G is (-2,2) and H is (-2,0) I'm only putting my answer too because the other person said 2,2 and its -2,2

Step-by-step explanation:


Related Questions

BM bisects ABC. If m ABC = 39°, what is the measure of ABM?

Answers

Answer:

stgfdbvfg

Step-by-step explanation:

sgsgdgdbccbctrerrgdgdg

help someone pls !!!

Answers

Answer:

its A

Step-by-step explanation:

There are 216 identical plastic chips numbered 1 through 216 in a box. What is the probability of reaching into the box and randomly drawing the chip numbered 170? Express your answer as a simplified fraction or a decimal rounded to four decimal places.

Answers

Answer:

The probability of randomly drawing the chip numbered 170 is 1/216 or 0.0046

Step-by-step explanation:

Probability is the likelihood or chance of an event occurring. Probability can be determined using the formula below

Probability = Number of favorable outcome / Total number of possible outcomes.

From the question, we are to determine the probability of reaching into the box and randomly drawing the chip numbered 170.

Here, the number of favorable outcome is 1 (which is the chip numbered 170)

Total number of possible outcomes is 216 ( all the 216 identical plastic chips)

Therefore,

Probability = 1/216 or 0.0046

This is the probability of randomly drawing the chip numbered 170.

The probability of randomly drawing the chip numbered 170 is 1/216 or 0.0046

What do you learn at pirate school?

Answers

1.) x=20
2.) x=11/3
3.) x=21
4.) x=-12
5.) x=19/21
6.) x=-2/5
10.) x=13/12
11.) x=5/4

answer: the three arrrs

The product of two radicals is always an irrational number.
AIways True
Never True
Sometimes True

Answers

Answer:

The answer is Sometimes True.

Step-by-step explanation:

Radicals are number that have roots (√) .

Irrational are numbers that cannot be written in a form of fraction (a/b) .

I will show you some examples :

√2 × √2 = 2 (rational)

√2 × √5 = √10 (irrational)

Therefore, the products of 2 radicals will sometimes give rational or irrational numbers.


Find the value of x in the given figure using properties of parallel lines.
OA) 36°
B) 54°
C) 18°
D) 27°

Answers

Answer:

C

Step-by-step explanation:

The Answer would be c have a great day!!

There are 4 white and 8 red roses in a bouquet. Find the ratios.
1b). The ratio of the numbers of red roses to the number of all roses

Answers

Answer:

1a) 1:2

1b) 2:3

Step-by-step explanation:

1a) 4:8 = 1:2

1b) 4 white and 8 red means 12 total so ratio for red would be 2:3

Answer:

1 ÷ 22 ÷ 3

Step-by-step explanation:

Given4 white and 8 red rosesTo findRatios of rosesSolution

Ratio of white roses to red roses

4 ÷ 8 = 1 ÷ 2

Ratio of red to all

Sum of roses

4 + 8 = 12

Ratio

8 ÷ 12 =2 ÷ 3

Jack earned $6.00 per hour before being given a 3% raise. What was Jack’s new wage after the raise?
Group of answer choices
$6.03

$6.18

$7.03

$7.80

Answers

I would believe that his raise is 6.18 because you see that it is 6 dollars you would put 6 x 3% and gather .18 then add .18 to the 6 that was there and you get 6.18

Therefor the answer is 6.18
Jacks new wage after the rage would be 6.18 .

Find the slope of (1,8) and (3,12) ?

Answers

Answer:

The slope is 2.

Step-by-step explanation:

Slope formula is rise/run. So in other words, it is y2-y1/x2-x1. In this case it would be 12-8/3-1. That equals 4/2. You need to simplify that by dividing both 4 and 2 by 2. So, that gives you 2/1. Whenever you have a number over 1 that is the same as saying just the numerator. So the slope would be 2.

Add −1310+25 using the number line.

Select the location on the number line to plot the sum.

Answers

Answer:

the answer is -1285

Step-by-step explanation:

unfortunately i do not have a number line but the equation -1310+25 can also be written as 25-1310.

think of it like doing 1310-25 which is positive 1285. because the negative sign is on the bigger number, the answer should be negative, making the sum -1285.

hope this helps!!

Find both of them plzzzzz

Answers

Answer:

supplement angle : 107

complement angle : 17

Step-by-step explanation:

supplement :

180 - 73 = 107

complement :

90 - 73 = 17

MODELING WITH MATHEMATICS
You design a frame to surround a rectangular photo. The width of the frame is the same on every side, as shown.

a. Write a polynomial that represents the combined area of the photo and the frame.

b. Find the combined area of the photo and the frame when the width of the frame is 4 inches.

Answers

It’s well be 2 inches ok

What is f(–2)?
help me...

Answers

Step-by-step explanation:

For examppe

f(x) = 3x + 1

f(-2) = 3(-2) + 1

= -6 + 1

= -5

it’s -2f
because multiplying a positive and a negative equals a negative.

Every 4 seconds, a ski lift chair rises 14 feet. Describe the relationship between the height of the chair and the time.

Answers

The relationship between the rise of the chair with respect to time is required.

The ski lift chair rises [tex]3.5\ \text{feet/s}[/tex]

Rate of change

Every [tex]4[/tex] seconds a ski lift chair rises [tex]14\ \text{feet}[/tex].

[tex]4\ \text{seconds}=14\ \text{feet}[/tex]

Divide by [tex]4[/tex] on both sides

[tex]1\ \text{second}=\dfrac{14}{4}=3.5\ \text{feet}[/tex]

The rate of the height increase of the ski lift chair is [tex]3.5\ \text{feet/s}[/tex]

Learn more about rate of change:

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What is the slope of the line?

Answers

Answer:

7/4

Step-by-step explanation:

For every 7 that y increases, x increases by 4.

PLEASE HELP IM BEING TIMED! Find PQW

Options: 33
35
38
27

Answers

Answer:

35

Step-by-step explanation:

BRAINLIEST ANSWER!! ASAP

3(x+1)+6=-9
PLEASE EXPLAIN HOW YOU GOT THE ANSWER

Answers

Answer:

x=-6

Step-by-step explanation:

use distributive property on the () and times x and 1 by three

then you subtract 6 from both sides

then subtract three from both sides

then divide both sides by 3

your work would look like this:

3(x+1)+6=-9

3x+3+6=-9

3x+3=-15

3x=-18

x=-6

Hope this helps!

Answer:

X=6

Step-by-step explanation:

3(x+1)+6=−9

Step 1: Simplify both sides of the equation.

3(x+1)+69(3)(x)+(3)(1)+6=−9

(Distribute)

3x+3+6=−9(3x)+(3+6)=−9

(Combine Like Terms)

3x+9=−93x+9=−9

Step 2: Subtract 9 from both sides.

3x+9−9=−9−93x=−18

Step 3: Divide both sides by 3.

3x3=−18/3

x=−6

in the diagram shown what is the ratio of shaded parts to unshaded parts?​

Answers

Answer:

you didnt put the diagram

Answer:

I am pretty sure this is the picture for this and I need help to ASAP tysm if u help me I have time on this test

Step-by-step explanation:

Hope this helped to see what picture it was :)

Help me with this please

Answers

Answer:

a -30

b - 40

c - 40

d - 40

e - 110

f - 110

g - 30

h - 140

i - 70

j - 70

I believe all of these are right. Sorry if they are not. I hope this helps!

8n + 4(1+5n) = -6n -14

Answers

Answer:

n = -.55

Step-by-step explanation:

8n + 4(1+5n) = -6n -14

8n + 5+20n = -6n -14

28n + 5 = -6n -14

34n + 5 = -14

34n = -19

n = -.55

Answer:

34n = -18/ 17n = 9

Step-by-step explanation:

Multiply (1+5) by 4. Combine like terms. Divide.

slope of 1/2 that passes through the point (6,-4) in slope-intercept form

Answers

Answer:

y=1/2x-7

Step-by-step explanation:

slope intercept form: y=mx+b

mx= slope

b= y-intercept

y=1/2x+b

Now plug in 6 for x and -4 for y bc 6 is in the x-value and -4 is in the y-value.

-4=1/2(6)+b

-4=3+b

Subtract 3 from both sides

b=-7

y=1/2x-7

The equation of the line with a slope of 1/2 that passes through the point (6, -4) in slope-intercept form is y = 1/2x - 7.

To find the equation of a line with a slope of 1/2 that passes through the point (6, -4), we can use the point-slope form of a linear equation, which is:

y - y₁ = m(x - x₁)

Plugging in the values, we have:

y - (-4) = 1/2(x - 6)

y + 4 = 1/2(x - 6)

Now, let's convert the equation to slope-intercept form, which is in the form of y = mx + b, where m represents the slope and b represents the y-intercept.

Expanding and rearranging the equation:

y + 4 = 1/2x - 3

y = 1/2x - 7

Therefore, the equation of the line with a slope of 1/2 that passes through the point (6, -4) in slope-intercept form is y = 1/2x - 7.

Learn more about the equation here:

brainly.com/question/10413253

#SPJ6

PLEASE help!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: 11

Step-by-step explanation: 5x-15= 3x+7

Combine like terms: 2x= 7+15

Add = 2x= 22

Divide: equals 11

round 75.0794 to 2 decimal places​

Answers

Answer:

75.08

Step-by-step explanation:

Focus on the 2nd digit to the right of the decimal point (it is 7).  The next digit is 9.  Because of this (nex digit 5 or greater), we round the 7 up to 8 and obtain the answer

75.08

i need help finding the answer​

Answers

X is greater than or equal to 0

What is the y-intercept?
What’s the slop.? What is the equation of the line?

Answers

y intercept= -4

slope=1

equation=    y=x-4

Answer:

Y intercept= -4

Slope= 1

Step-by-step explanation:

2x - 1y = 6
-3y = -6x + 18

please explain how you got the answer, thank you :)

Answers

Answer: {y,x}={2,8}

// Solve equation [2] for the variable  y

 [2]    y = -2x + 18

// Plug this in for variable  y  in equation [1]

  [1]    (-2x+18) - x = -6

  [1]     - 3x = -24

// Solve equation [1] for the variable  x

  [1]    3x = 24

  [1]    x = 8

// By now we know this much :

   y = -2x+18

   x = 8

// Use the  x  value to solve for  y

   y = -2(8)+18 = 2

Solution :

{y,x} = {2,8}

What is the equation of a line PARALLEL to y = 1/3x – 4 that passes through (9, 8)?

Answers

Answer:

[tex]y=\frac{1}{3} x+5[/tex]

Step-by-step explanation:

We know that since the equation of the line that we need to find has to be parallel, it must have the same slope. Also, the slope-intercept formula is:

[tex]y=mx+b[/tex]

Plugging in the values we know:

[tex]8=\frac{1}{3} (9)+b[/tex]

We solve for [tex]b[/tex] and get:

[tex]b=5[/tex].

So, the equation of our new line must be:

[tex]y=\frac{1}{3} x+5[/tex]

Help please giving 30 points

Answers

Answer:

B = 146 deg

Step-by-step explanation:

firstly, for angle FEB, do this formula:

180-34=146

FEB would be alternate with B, making them equal, therefore:

B = 146

alguien que me ayude por favor

Answers

i can't see the paper

Jon has a $21.61 balance on a gift card that can be used to purchase online music. Each song download costs $1.29. Jon wants to maintain a $10 balance to purchase a new album that releases next month. How many songs can Jon purchase?

Answers

Answer: Jon can purchase 9 songs.

Step-by-step explanation: $21.61 - $10.00 = $11.61

$1.29 · 9 = $11.61

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