Point W(-4, 7) was translated as follows: W(-4, 7) – W'(-2, 4). A student wrote the algebraic rule to describe the
translation as (x,y) → (x-3.y+2). Evaluate the student's answer.
A. Incorrect; the student should add 2 to the x-coordinate and subtract 3 from the y-coordinate.
B. Incorrect; the student should add-4 +-2 to calculate the x-coordinate and add 7 + 4 to calculate
the y-coordinate.
C. Incorrect; the student should add 3 to the x-coordinate and subtract 2 from the y-coordinate.
D. The student's answer is correct.

Answers

Answer 1

Answer:

A

Step-by-step explanation:

W (- 4, 7 ) → W' (- 2, 4 )

- 4 → - 2 in the x- directions is a shift of + 2

7 → 4 in the y- direction is a shift of - 3

then translation rule should be

(x, y ) → (x + 2, y - 3 )


Related Questions

If you want to buy an item in a store that costs $50 and is on sale for 10% off, then
how much would the item actually cost you after the discount? Round to the nearest
cent.

Answers

Answer:

It would be $45.00.

Step-by-step explanation:

50 divided by 10 would be 5. Subtract that from 50 to get 45.

Answer:

$45.00

Step-by-step explanation:

If an item cost $50 and the discount is 10% then:

Convert 10% to a decimal

10/100 = .1

.1 * $50 = $5

The discount is $5, subtract the discount from the original amount.

$50 - $5 = $45

The item would cost $45.00 after the discount.

Tom host a new program the kitchen gladiator, wants to mix a dip containing 5% horseradish with one containing 20% horseradish to obtain a 24 ounce dip containing 10% horseradish, how many ounces of the 5% dip should he use?

Answers

Answer:

16 ounces

Step-by-step explanation:

x, quantity of the 5%

24-x, quantity of the 20%

5%x + 20%(24-x) = 10% of 24

.05x + .20(24-x) = .10 * 24

.05x + 4.8 - .20x = .10 * 24

4.8 -.15x = 2.4

2.4 = .15x

.15x = 2.4

x = 2.4/.15

x = 16

463.70
500.45
218.70
253.10​

Answers

Answer:

463.70 or 500.45

I think it is 500.45

Match each statement with its symbolic notation.​

Answers

Answer:

4. F

5.C

6.G

7.D

8.A

9.E

10.B

Step-by-step explanation:

Of the relations graphed below, three are functions and one is not.
Which of the relations is NOT a function?

a.

b.

c.

d.




Please select the best answer from the choices provided


A
B
C
D

Answers

The one who isn’t a function is graph B

mom bought a dress for 320 dollars during the big sale its original price is 400 yuan how much is the discount

Answers

Answer:

20% discount

Step-by-step explanation:

Given the following question:

20% of 400

To find the answer we will use the formula to calculate percentages, once we have that answer we then subtract it from the original price to see if we have the same new price as the question.

[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{20\times40}{100}[/tex]
[tex]20\times40=8000[/tex]
[tex]8000\div100=80[/tex]
[tex]=80[/tex]

Subtract from the original price:
[tex]400[/tex]
[tex]400-80=320[/tex]
[tex]=320[/tex]

The dress has a "20% discount."

Hope this helps.

As a member of a dance troupe, Anita has a costume wardrobe that consists of 2 pairs of tights (1 white pair and 1 black pair), 3 T-shirts (1 pink, 1 blue, and 1 green), and 3 scarves (1 silver, 1 gold, and 1 white). If a costume consists of either a pair of tights and a T-shirt with a scarf or a pair of tights and a T-shirt without a scarf, how many different costumes are possible?

Answers

Answer:

24

Step-by-step explanation:

24

The total number of different costumes possible is 24 if  Anita has a costume wardrobe that consists of 2 pairs of tights, 3 T-shirts, and 3 scarves.

What are permutation and combination?

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have:

Anita has a costume wardrobe that consists of 2 pairs of tights (1 white pair and 1 black pair), 3 T-shirts (1 pink, 1 blue, and 1 green), and 3 scarves (1 silver, 1 gold, and 1 white).

The costume consists of either a pair of tights or a T-shirt with a scarf:

In this case total number of ways = 2×3×3 = 18

Pair of tights and a T-shirt without a scarf:

In this case total number of ways = 2×3 = 6

Total number of different costumes are possible:

= 18 + 6

= 24

Thus, the total number of different costumes possible is 24 if  Anita has a costume wardrobe that consists of 2 pairs of tights, 3 T-shirts, and 3 scarves.

Learn more about permutation and combination here:

https://brainly.com/question/2295036

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What is 125.315 in standard form?

Answers

Answer: 1.25315*102

Step-by-step explanation:

What is the sum of -7 and its additive inverse?

Answers

Answer:

The sum of a number and its additive inverse is equal to 0.

Step-by-step explanation:

-
A geometric
sequence is defined
recursively by
an = 3an-7. The 1st
term of the
sequence is 2.7.
Write the explicit
formula for the
sequence.

HELP PLEASE

Answers

Answer:

2.7n=8.1^n-7

thank you for the lovely question

If a = -4 and b= -3, work out the value of a/2+b

Answers

Given Equation Is:

[tex] \: \: [/tex]

[tex] \sf \large \frac{a}{2} + b[/tex]

[tex] \: \: [/tex]

Now, Put the value of a = -4 and b = -3 in given eqn .

[tex] \: \: [/tex]

[tex] \sf \large \: \frac{ - 4}{2} - 3[/tex]

[tex] \: \: [/tex]

[tex] \sf \large \cancel \frac{ - 4}{ \: \: 2} - 3[/tex]

[tex] \: \: [/tex]

[tex] \sf \large \: - 2 - 3[/tex]

[tex] \: \: [/tex]

[tex] \boxed { \sf \large \color{pink} \: \: \: \: \: \: \: 5 \: \: \: \: \: \: \: }[/tex]

[tex] \: \: [/tex]

Hope Helps!:)

The solution to the equation takes the form a/2+b, where, a = -4 and b= -3, is 4 or -5 depending on the equation used.

What is the substitution of variables into an equation?

The substitution of variables takes a defined pattern. In the given question, we are to replace the following values for a and b. i.e. a = -4 and b = -3 into the equation a/2+b.

So,

If a = - 4;and b = -3

Then, using the expression:

[tex]\mathbf{=\dfrac{a}{2+b}}[/tex]

The solution to the equation can be calculated as:

[tex]\mathbf{=\dfrac{-4}{2+(-3)}}[/tex]

[tex]\mathbf{=\dfrac{-4}{-1}}[/tex]

Divide both the numerator and denominator by (-1)

= 4

However, if the equation is [tex]\mathbf{\dfrac{a}{2}+b}[/tex]

The solution to the equation will be as follows:

[tex]\mathbf{\dfrac{-4}{2}+(-3)}[/tex]

= -2 - 3

= -5

Learn more about variables here:

https://brainly.com/question/24751617

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Quentin recorded the weather for the past days. It rained on 28 of the days. Which fraction and decimal represent how many days it rained? 28 O A 2.8 and 100 O'B. 0-28 and 210 OC. 0.28 and 28 100 O D. 0.28 and​

Answers

Answer:

I don't know which letter answer it is because it is unclear in the question, but the answer is:

28/100 for the fraction

0.28 for the decimal

solve pls brainliest

Answers

Answer:

100

Step-by-step explanation:

Lets solve this the easiest way possible :)

120/6 = 20

Now since they sold 5/6 of these copies, lets multiply the 20 by 5 to figure out how much they sold.

20 x 5 = 100

They sold 100 copies :)

Hope this helps!!!

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

100

Step-by-step explanation:

5     120

-----   ------

6          1

=

600

-------   =  100

6

How do I write an inequality for this?

Answers

Answer:

[tex] - 2 \leqslant x < 5[/tex]

Step-by-step explanation:

The shaded part is after - 2 and the circle is shaded which indicate that x is greater than or equal to - 2. The shaded part before the 5 and the open circle indicate that x is also less than 5.

Each of 4 gift bags contains X pencils. Tyler adds 3 more pencils to each bag. Altogether, the gift bags contain 36 pencils. What is the answer as an equation

Answers

Hello and Good Morning/Afternoon

Let's take this problem step-by-step:

Let's consider the information given:

there are 4 gifts bags that contain 'x' pencil

            Total number of pencils = 4 * x = 4x

3 more pencils are added to each bag

             Total number of pencils = 4 * (x + 3)

in total there are 36 pencils

              4(x+3) = 36

Answer: 4(x+3) = 36

Hope that helps!

#LearnwithBrainly

I need help with this!

Answers

1) Slope equals -0.667/2.000=-0.333
x-intercept =12/1=12.00000
y-intercept =12/3=4
x+3y=12
Answer: 4

2) Slope equals 2
x-intercept=5/2=2.5000
y-intercept=5/-1=-5.00000
Answer: -5.00000

Answer:

Dear Friend here is your answer.

Select the correct answer from each drop-down menu.
The figure shown consists of a square pyramid on top of a square prism. The surface area of the figure is 432 cm2. The height of the prism is three times the height of the pyramid.


Find the heights of the pyramid and the prism.

The height of the pyramid is
cm.

The height of the prism is
cm.

Answers

Answer:

height of pyramid = 3 cm

height of prism = 9 cm

Step-by-step explanation:

Square Pyramid

surface area of 4 triangular sides of the pyramid = [tex]2a\sqrt{\dfrac{a^2}{4}+h^2}[/tex]

(where [tex]a[/tex] is the base edge and [tex]h[/tex] is the height)

Given [tex]a[/tex] = 8 cm

[tex]\implies \textsf{SA}=2\cdot8\sqrt{\dfrac{8^2}{4}+h^2}[/tex]

            [tex]=16\sqrt{16+h^2}[/tex]

Square Prism

surface area of square prism with one base = [tex]a^2+4ah[/tex]

(where [tex]a[/tex] is the base edge and [tex]h[/tex] is the height)

Given [tex]a[/tex] = 8 cm and [tex]h[/tex] = 3h

[tex]\implies \textsf{SA}=8^2+4\cdot 8\cdot 3h[/tex]

            [tex]=64+96h[/tex]

Total surface area

total SA = SA of pyramid + SA of square prism

Given total SA = 432 cm²

[tex]\implies 432=16\sqrt{16+h^2}+64+96h[/tex]

[tex]\implies 368=16\sqrt{16+h^2}+96h[/tex]

[tex]\implies 368=16(\sqrt{16+h^2}+6h)[/tex]

[tex]\implies 23=\sqrt{16+h^2}+6h[/tex]

[tex]\implies 23-6h=\sqrt{16+h^2}[/tex]

[tex]\implies (23-6h)^2=16+h^2[/tex]

[tex]\implies 529-276h+36h^2=16+h^2[/tex]

[tex]\implies 35h^2-276h+513=0[/tex]

[tex]\implies (h-3)(35h-171)=0[/tex]

[tex]\implies h=3, h=\dfrac{171}{35}[/tex]

Inputting both values of [tex]h[/tex] into the equations for SA:

when [tex]h = 3[/tex]:

[tex]\textsf{pyramid}=16\sqrt{16+3^2}=80 \ \sf cm^2[/tex]

[tex]\textsf{square prism}=64+96(3)=352 \ \sf cm^2[/tex]

[tex]\textsf{total SA}=80+352=432 \ \sf cm^2[/tex]

when [tex]h=\dfrac{171}{35}[/tex]:

[tex]\textsf{pyramid}=16\sqrt{16+(\frac{171}{35})^2}=101.0285714... \sf cm^2[/tex]

[tex]\textsf{square prism}=64+96(\frac{171}{35})=533.0285714... \ \sf cm^2[/tex]

[tex]\textsf{total SA}=101.0285714...+533.0285714... =634.0571428... \ \sf cm^2[/tex]

Therefore, h = 3 only (since the total area is 432 cm²)

⇒ height of pyramid = 3 cm

⇒ height of prism = 3h = 3 × 3 = 9 cm

i need answer now asap plzzz 25 points

Enzo is making a scale drawing of the rectangle below.


A rectangle has a length of 8 centimeters and width of 5 centimeters.


Enzo says that he can draw an enlarged rectangle that is 16 centimeters by 13 centimeters. Which explains whether Enzo is correct?

Enzo is correct because he used a factor of 2 to enlarge the rectangle.

Enzo is correct because he doubled one dimension and added the two lengths to get the other dimension.

Enzo is not correct because the enlarged rectangle should be 16 centimeters by 5 centimeters.

Enzo is not correct because he did not multiply the length and width by the same factor.

Answers

Answer:

Tjats is baout the circumfrence of nonsensical poop

Step-by-step explanation:

Answer:

what ever the first person have answer

What are the values of x and y?

Answers

Answer:

Y=45 X=90

Step-by-step explanation:

B is equal to C so it would be 45. Since the whole triangle must be 180 you subtract 45 and 45 from 180 and you get 90. Another way to tell C and B are the same is the 2 little lines on the sides.

Answer:

y=45°(angles opposite to equal sides are equal)

x+y+45=180(sum of the interior angles of a triangle is 180)

x+45+45=180

y+90=180

y=180-90

y=90

Step-by-step explanation:

ONLY URSONET ANSWER|||||||






53 + 47 = 100 : simples? But those itching for their Good Will Hunting moment, the Guinness Book of Records puts Goldbach's Conjecture as the current longest-standing maths problem, which has been around for 257 years. It states that every even number is the sum of two prime numbers: for example, 53 + 47 = 100.

Answers

It's tricky because everybody is used to seeing 50+50=100

50+50=100 Its simple but when u put it like that it makes at trickier and people think its 90 or 103

Find the area of the parallelogram.
-
14 cm
14 cm
A= | cm2

Answers

Answer:

= 196 cm^2

Step-by-step explanation:

A= bh

= 14X14

= 196 cm^2

Question in photo! (Please help with other questions!)

Answers

Answer:

b) [tex]a_{n}[/tex] = 2 + 2/5n

Step-by-step explanation:

Given :-

a = 12/5

d = 2/5

To Find :-

[tex]a_{n}[/tex]

Solving :-

[tex]a_{n}[/tex] = a + (n - 1)d

= 12/5 + 2/5n - 2/5

= 2 + 2/5n

Solution :-

b) [tex]a_{n}[/tex] = 2 + 2/5n

Is Y = 8 proportional

Answers

Answer:

yes it is

Step-by-step explanation:

it can be written as a  fraction

Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options.
a.18 x minus 15 = 72
b.50 x minus 25 = 72
c.18 x minus 9 = 72
d.3 (6 x minus 3) = 72
e.x=4.5

Answers

Answer:

C, D and E

Step-by-step explanation:

Given equation:

[tex]\dfrac35(30x-15)=72[/tex]

Use the distributive law  [tex]a(b-c)=ab-ac[/tex]:

[tex]\implies \dfrac35\cdot30x- \dfrac35\cdot15=72[/tex]

[tex]\implies \dfrac{3 \cdot30}5x- \dfrac{3 \cdot15}5=72[/tex]

[tex]\implies \dfrac{90}5x- \dfrac{45}5=72[/tex]

[tex]\implies 18x- 9=72[/tex]  ←  option c

Factor out common term 3:

[tex]\implies 3(6x- 3)=72[/tex]  ←  option d

Solve [tex]18x- 9=72[/tex]:

[tex]\implies 18x- 9+9=72+9[/tex]

[tex]\implies 18x=81[/tex]

[tex]\implies \dfrac{18x}{18}=\dfrac{81}{18}[/tex]

[tex]\implies x=4.5[/tex]  ←  option e

f(x) = -7x - 1
f() = -8

Answers

Answer:

Step-by-step explanation:

How to make 2.5 a fraction

Answers

2 1/2 or 5/2

2 is a whole number and .5 multiplied by 10, then divided by 100, then simplify

The table gives the value of bianca’s savings account at the end of each of the first four years.

which best describes the terms of this investment?

Answers

The savings account of a person shows the amount which is immediately available to the person and this helps to create budgets and control spending.

What are Tables?

This refers to the way data is arranged by showing the figures in columns for easy reading and calculations.

Please note that your question is incomplete so I gave you a general overview to help you get a better understanding of the concept.

Read more about tables here:

https://brainly.com/question/24040786

Hailey went to Frank's Market and bought 1 3/4 pounds of coffee at $13 a pound and 8 1/2 pounds of rice at $0.45 pero pound. If Hailey paid with a $50 Bill how much chance did she receive?

Answers

Answer: She received $18.42 as change.

Step-by-step explanation:

Given: Cost of coffee per pound = $13

[tex]1\dfrac34[/tex] pounds of coffee costs [tex]=1\dfrac34\times 13=\dfrac{4+3}{4}\times 13[/tex]

[tex]=\dfrac74\times 13\\\\=\$ 22.75[/tex]

Cost per pound of rice = $0.45

[tex]8\dfrac12[/tex]  pounds of rice costs = [tex]8\dfrac12\times 0.45=\dfrac{17}{2}\times0.45[/tex]

[tex]=\$3.825[/tex]

Bill amount = $ (22.75+8.825) = $ 31.575≈ $31.58

If Hailey paid $50, then she will receive = $(50-31.58)

= $ 18.42

Hence, She received $18.42 as change.

Answer: She received $18.42 as change.

Step-by-step explanation:

Given: Cost of coffee per pound = $13

pounds of coffee costs  

Cost per pound of rice = $0.45

 pounds of rice costs =  

Bill amount = $ (22.75+8.825) = $ 31.575≈ $31.58

If Hailey paid $50, then she will receive = $(50-31.58)

= $ 18.42

Hence, She received $18.42 as change.

Find the surface area of the figure below.

Answers

Answer:

108 i think

Step-by-step explanation:

Answer:

108 inch.

Step-by-step explanation:

To make it a bit easier, I calculated the area of each side of the prism that was shown.

1. Start with the triangular sides: 3 × 4/2 = 6. Since there are two triangular surfaces, you add them together. In the end, you have 12 inch.

2. Calculate the surface with the dimensions 8 in. with 5 in.: 8 × 5 = 40 inch.

3. Calculate the surface with the dimensions 4 in. with 8 in.: 4 × 8 = 32 inch.

4. Calculate the surface with the dimensions 3 in. with 8 in.: 3 × 8 = 24 inch.

5. Last step - add all the results together: 12 + 40 + 32 + 24 = 108 inch.

Hope it helped!!

Helpppppp!!!!!!!!!!!$

Answers

It’s A, because multiplying the ‘y’ values by a fraction would make them smaller, therefore making all of the y-values (that affect the vertical size of a graph) compress
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