What is the image of (x,y) after a translation of 3 units left and 7 units down?

Answers

Answer 1

Answer:

[tex](x + 3, y - 7)[/tex]

Step-by-step explanation:

Given

[tex]Function = (x,y)[/tex]

Translation:

[tex]Left = 3\ units[/tex]

[tex]Down = 7\ units[/tex]

Required

Determine the image of the function

Apply the first translation

[tex]Left = 3\ units[/tex]

When function (x,y) is 3 units translated left, we add the units to the x value.

The new function becomes:

[tex](x,y) -> (x + 3, y)[/tex]

Apply the second translation

[tex]Down = 7\ units[/tex]

We subtract 7 units from the y value

[tex](x,y) -> (x + 3, y)[/tex]

becomes:

[tex](x + 3, y) ->(x + 3, y - 7)[/tex]

Hence:

The image of the function is:

[tex](x + 3, y - 7)[/tex]


Related Questions

Kaitha wanted to buy a laptop. she saved 1/3 of the cost of the laptop in the first month. In the second month, she saved $125 less than what she saved in the first month. she saved the remaining $525 in the third month. how much did the laptop cost.

Answers

Answer:

It costed $1200

Step-by-step explanation:

First Month Saved 1/3 of total cost

Second Month (1/3 of total cost) - 125

Third Month 525

525-125= 1/3 of total (If she saved the same amount the second month as the first month, then she's already saved 2/3 of the money)

400 = 1/3 of total cost

3X400=1200

Why do people at school think I'm not very smart when I get A's in every class? I don't really raise my hand a lot in class...... maybe that's why? I also am kind of quiet around some people but I don't act d/umb and whenever I do speak to some of those people, it's always intelligent. I'm the new kid, and at my old school, I was always called smart..... so why do they call me du/mb?

Answers

Answer:

Honestly, I feel you. I've been there. Being the new kid not also brings problems related to your character, but to your feelings. I totally think you're smarter than all your other classmates! :D. Keep being yourself and never let them bring you down. If you fall down and don't feel like getting back up, remember this message!

- Benji :)

Answer:

They may not know very much about you and assume things about you based on things they see and perceive that are separate from the grades that you get and/or they think you aren't intelligent on something to do with your emotions/behavior and/or someone or some amount of people have developed something against you, these are just potential situations.

Step-by-step explanation:

Regardless of what the reason is, move forward with what you do and meet people who enjoy your company. Those who treat you badly are not worth your time. Best of luck!

Neal deposited $5,000 into an account that earns 6. 5% simple annual interest. Aleli deposited $5,000 into an account that earns 4% compound interest,

compounded annually. Which investment earns more interest after 3 years? How much more?

Aleli's investment: $375. 00

Neal's investment; S375. 00

Neal's investment: $350. 68

O Aleli's investment: $350. 68

Answers

Answer:

if jhonny had one apple how many apple does the chicken have in the basement across the road in his house under the bed??

Step-by-step explanation:

After school one night, I had to stop at the local office supply store and pick up a few items. I bought 2 packages of page dividers. They each cost $3.79. I bought one package of Post-It Tabs that cost $6.79. Finally, I bought a large binder for $11.99. Sales tax was 7.5% and I paid with a 50 dollar bill. How much change did I receive?

Answers

Answer:

25.74 ?

Step-by-step explanation:

can anyone tell me what to shade bc I'm still confused-​

Answers

Answer:You are correct but you need to shade in one more square.

Step-by-step explanation:

Answer:you got it right dude shade in 5 tho

Complete the explain on why x + 4 ≥ 7 and x − 4 ≥ −1 have the same solutions.

Answers

Step-by-step explanation:

[tex]x + 4 \geqslant 7 \\ x \geqslant 7 - 4 \\ x \geqslant 3[/tex]

[tex]x - 4 \geqslant - 1 \\ x \leqslant - 1 + 4 \\ x \leqslant 3[/tex]

Can u help me please I would appreciate it

Answers

Answer:

A 13°

Step-by-step explanation:

We need to know the measure of angle LMN.

The angle measures of a triangle add up to 180°.

MLN=15°

LNM=180-28=152° (LNM and MNP are supplementary, meaning they add up to 180°)

LMN=15+152=167 180-167=13

Hope this helps :-)

Please Help!!

Use the graph of the equation to solve: -2x - 5 = 3

Answers

Answer:

x = -4

Step-by-step explanation:

-2x - 5 = 3

Add 5 to both sides

-2x - 5 + 5 = 3 + 5

Simplify

-2x = 8

Divide both sides by -2

-2x/-2 = 8/-2

Simplify

x = -4

1. Wendy wants to find the width, AB, of a river. She walks along the edge of the river 300 ft and marks point C. Then she walks 80 ft further and marks point D. She turns 90° and walks until her location, point A, and point C are collinear. She marks point E at this location, as shown.













(a) Can Wendy conclude that ΔABC and ΔEDC are similar? Why or why not?
(b) Suppose DE = 50 ft. Calculate the width of the river, AB. Show all your work.

Answer:

Answers

It can be deduced that the triangles are similar because the three internal angles are equal for both triangles.

How to solve the triangle?

It should be noted that the triangles are similar because the three internal angles are equal.

In this case, the ratio of the corresponding sides are equal and the corresponding angles are congruent.

The width of the river will be:

300/80 = AB/50

AB = (300 × 50)/80

AB = 187.50 feet.

Learn more about triangles on:

https://brainly.com/question/17335144

PLEASE HELP ASAP 30 PTS I NEED TO GIVE MY HOMEWORK Find the magnitude of the vector <5, −3>.
5.8
4
6.1
5.2
WILL GIVE BRAINLIEST

Answers

Answer:

5.8

Step-by-step explanation:

[tex]\sqrt{5^{2} +( -3)^{2} }[/tex]

[tex]\sqrt{25 + 9}[/tex]

[tex]\sqrt{34}[/tex]

5.83

Im confused how to convert the equation ​

Answers

Answer:

0

Simplify trigonometry:

[tex]\frac{cos\ \pi+sin(\frac{\pi}{4})}{sec\ (\frac{\pi}{4})}+\frac{tan(\frac{\pi}{4})-cos\ 0}{cos\ (\frac{\pi}{4})}[/tex]

Evaluate the expression

[tex]\frac{-1+sin(\frac{\pi}{2})}{sec\ (\frac{\pi}{4})}+\frac{tan\ (\frac{\pi}{4})-cos\ 0}{cos\ (\frac{\pi}{4})}\\ \frac{-1+1}{sec\ (\frac{\pi}{4})}+\frac{tan(\frac{\pi}{4})-cos\ 0}{cos(\frac{\pi}{4})}\\ \frac{-1+1}{\sqrt2}+\frac{tan(\frac{\pi}{4})-cos\ 0}{cos\ (\frac{\pi}{4})}\\ \frac{-1+1}{\sqrt2}+\frac{1-cos\ 0}{cos\ (\frac{\pi}{4})}\\ \frac{-1+1}{\sqrt2}+\frac{1-1}{cos\ (\frac{\pi}{4})}\\ \frac{-1+1}{\sqrt2}+\frac{1-1}{\frac{\sqrt2}{2}}[/tex]

Apply the Inverse Property of Addition

[tex]\frac{0}{\sqrt2}+\frac{0}{\frac{\sqrt2}{2}}[/tex]

Apply Zero Property of Multiplication

[tex]0[/tex]

I hope this helps you

:)

The freshman class is selling candy bars to raise money. They purchased 3100 candy bars and paid a delivery fee of $35. The total cost, including the delivery fee, was $1430. What was the cost of each candy bar?

Answers

Answer:

$0.45

Step-by-step explanation:

To answer this question, we first have to subtract the delivery fee from the total cost:

1430 - 35 = 1395

Now, we divide this number by the total amount of candy bars:

1395 / 3100 = 0.45

So, each candy bar costs $0.45

Hope this helps :)

Each candy bar would be 45 cents

Write the compound inequality shown by the graph.

Answers

9 > x >= 2 is the answer

write 9.6 x 10^9 as a normal number

Answers

Answer:

Step-by-step explanation:

9.6×10^9=96/10 ×10^9=96×10^8=9,600,000,000

the function c(x) 3x-4 determines how many cupcakes need to be purchased for a birthday party, where x is the number of kids at the party. the party planner uses d(c(x)) to find the amount of money to bing for the cupcakes purchase. the function d(x)=2x+5. solve for how much money to bring when there are 7 kids at the party.

Answers

See picture for math work and answer.

How many different outcomes are possible when 3 coins are flipped at once?​

Answers

6 there are 3 coins with 2 sides and 3x2=6

Observe the following sets and complete the statement below.
Set A - 1, 2, 3, 4, 5, 6, 7, 8, 9,0
Set B - 2, 3, 4, 5

“Set ___ is a ___ of set ___.”

Answers

Set _2__ is a _4__ of set __6_.”

The Davis family drove a total of 587 miles, starting on Friday and ending on Sunday. They drove 182 miles on Friday and 260 miles on Saturday. How many miles did they drive on Sunday?

Answers

Answer:

145

Step-by-step explanation:

Because what you want to do is add 260 to 182 then subtract from 587. I hope that helped! :)

Find the slope of the line between (19,–27) and (34, 15)

Answers

Answer:

K

Step-by-step explanation:

Answer:

The answer is 14/5

Step-by-step explanation:

I Hope this helps

I need help. Can u help me before tomorrow?​

Answers

Answer:

250/100 x 72 = 180

She has completed 180 invitations

Step-by-step explanation:

Decimal multiplication problem:

250 x 0.72 = 180

4. 2/3 of the students in Sarah’s class are boys. Of the boys, 13 of them wear glasses. What fraction of the students are boys that wear glasses? Choose the model that matches the situation.

Answers

Yes let's find

The fraction is

[tex]\\ \rm\Rrightarrow 13/2/3[/tex]

[tex]\\ \rm\Rrightarrow 13(3)/2[/tex]

[tex]\\ \rm\Rrightarrow 39/2[/tex]

Answer:

39/2 of the class are boys that wear glasses

Step-by-step explanation:

[tex]\dfrac23 \textsf{ of the class are boys.}[/tex]

[tex]\textsf{If 13 of them wear glasses, then} \dfrac{13}{\frac23}} \textsf{ wear glasses.}[/tex]

[tex]13 \div \dfrac23 =13 \times \dfrac32=\dfrac{39}{2}[/tex]

Plssss what is the answer

Answers

Answer:

=> The answer is 16

Step-by-step explanation:

Given :

a = -2

b = 3

c = -1

Answer:

2

Step-by-step explanation:

substitute the given values into the expression

[tex]\sqrt[4]{(3-(-2))(\frac{-2(3)^2(-1)}{3+3})+1 }[/tex]

= [tex]\sqrt[4]{(3+2)(\frac{18}{6})+1 }[/tex]

= [tex]\sqrt[4]{5(3)+1}[/tex]

= [tex]\sqrt[4]{16}[/tex]

= 2

(2m -3)^2 pls answer fast

Answers

Answer:

4m^2-12m+9

Step-by-step explanation:

[tex](2m -3)^2[/tex]

[tex]\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a-b\right)^2=a^2-2ab+b^2[/tex]

[tex]\left(2m-3\right)^2=\left(2m\right)^2-2\cdot \:2m\cdot \:3+3^2[/tex]

[tex]=\left(2m\right)^2-2\cdot \:2m\cdot \:3+3^2[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]=4m^2-12m+9[/tex]

~Learn with Lenvy~

Answer:

[tex] \bf \longrightarrow \: ( {2m - 3)}^{2} [/tex]

Using Identity

[tex] \bf \longrightarrow \:(a - b) {}^{2} = { a}^{2} + {b}^{2} - 2ab[/tex]

Let,

a = 2m

b = 3

Now

[tex] \sf \longrightarrow \:(2m) {}^{2} + {3}^{2} - 2(2m \times 3) \\ \\ \\ \sf \longrightarrow \:4 {m}^{2} + 9 \: - 2(6m) \\ \\ \\ \sf \longrightarrow \:4 {m}^{2} + 9 \: - 12m[/tex]

Therefore,

Your answer is 4m² + 9 - 12m .

Someone pls help me

Answers


I think the answer is (3,10)

A car has a displacement of 220 kilometers to the north in 3.5 hours. What is its velocity in kilometers per hour?​

Answers

Answer:

62.8km/hr

Step-by-step explanation:

Given parameters:

Displacement  = 220km due north

Time taken = 3.5hrs

Unknown:

Velocity in km/hr = ?

Solution:

Velocity is the rate of displacement per unit of time. This physical quantity is a vector which has both magnitude and directional attributes.

 So, mathematically;

           Velocity  = [tex]\frac{displacement}{time taken}[/tex]

Insert the parameters and solve;

          Velocity  = [tex]\frac{220}{3.5}[/tex]   = 62.8km/hr

anybody know this answer?​

Answers

Answer:

y = -4/5x + 3

Step-by-step explanation:

Chose any two points on the line:

(5, -2)

(-5, 6)

Slope = (y2 - y1) / (x2 - x1)

6 -(-2) / -5 - 5

8 / -10

-4/5

Equation:

y = mx + b

Plug in x and y using any coords and then plug in m (the slope):

-2 = -4/5 * 5 + b

-2 = -20/4 + b

-2 = -5 + b

Add 5 on both sides:

3 = b

Now our equation is:

y = -4/5x + 3

Please let me know if I've done something wrong!

Albert and Mark are candidates. Albert received 2,500 votes while Mark received 3,000 votes. What is the ratio of albert's vote against Mark's?

Answers

Answer:

albert 2500:3000 mark/÷100

25÷30 /÷5

5:6

their ratio is 5:6

Can you find the AREA of this shape please, thank you! ​

Answers

Answer:

40.81125m²

Step-by-step explanation:

Hello!

Step 1: Rectangle

We can find the area of the rectangle by multiplying the base by the height.

A = base * heightA = 5m * 2mA = 10m²

Step 2: Area small semicircles

If we add the two semicircles, we can see that it's actually 1 whole circle.

So we can simply find the area of the whole circle.

radius = 1/2 * diameter

A = πr²A = (3.14)(1m)²A = 3.14m²

Step 3: Large semicircle

Now for the last part, the large semi-circle at the top.

Since it's half a circle, we can manipulate the formula by finding half of it.

A = (1/2)πr²A = (1/2)(3.14)(2.5m)²A = (1/2)19.625m²A = 9.8125

Step 4: Total Area

Total area = 10m² + 3.14m² + 9.8125m²

                 = 40.81125m²

Austin wants to buy a new hat and to get his name embroidered onto it. The hat costs $18 and each letter costs $.75. How much will Austin have to pay to buy the hat and get his name put on it? (enter your answer as a decimal without dollar sign)

Answers

Answer:

22.50

Step-by-step explanation:

Hat = $18

Austin - 6 letters

0.75 x 6 = 4.5

Letters cost $4.50

18 + 4.5 = 22.5

He'll have to pay 22.50 dollars.

Hope this helps!

NEED HELP NOW!! FOR MATH 10PTS

Answers

Answer:

a)

Step-by-step explanation:

Cost function = revenue function - profit function

   = -0.3x² + 150x - [-0.5x² + 250x - 300]

   = -0.3x² + 150x + 0.5x² - 250x +300

  = -0.3x² + 0.5x² + 150x - 250x + 300   {Combine like terms}

  = 0.2x² - 100x + 300

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