4

Choose the rule to describe the transformation:

butalik [34]

<h3><u>We are given:</u></h3>

The initial points: T(2 , 3) U(5, 4) V(2, 0)

The transformed points: T'(-1, 2) U'(2,3) V'(-1, -1)

<h3><u>Identifying the Transformation rule:</u></h3>

Since all these points will follow the same rule, we will take a pair of initial and transformed points and compare them

T(2, 3) → T'(-1, 2)

We can see that these points are not reflected across the y-axis

<u>Checking if they have a dilation of 0.25 about the origin:</u>

Dilation of 0.25 about the origin basically means if the Initial x and y coordinates are multiplied by 0.25 to form the transformed points

So, if the points have a dilation of 0.25:

x (initial) * 0.25 = x(final)

2*0.25 = -1

0.5 ≠ -1

Hence, there is no dilution of 0.25

<u>Checking if the given points are translated:</u>

To check this, we will take 2 pairs of initial and transformed points

T(2,3) → T'(-1,2)

U(5,4) → U'(2,3)

To check if there is transformation, we need to check if the difference between the x and y coordinates of initial and transformed points is equal

<u>Change in coordinates of T:</u>

x-coordinates:

x(final) - x(initial) = x(change)

x(change) = -1 - (2)

x(change) = -3

y-coordinates:

y(change) = y(final) - y(initial)

y(change) = 2 - (3)

y(change) = -1

<u>Change in coordinates of U:</u>

x-coordinates:

x(change) = x(final) - x(initial)

x(change) = 2 - 5

x(change) = -3

y-coordinates:

y(change) = y(final) - y(initial)

y(change) = 3 - 4

y(change) = -1

Since there is the same change in x and y coordinates of the initial and transformed points, we know that Translation took place

Since the change in x is -3 and the change in y is -1, the translation will look like:

(x-3 , y-1)

Which is also option d.

Hence, option d is the correct answer

3 0

3 years ago

A warehouse contains 7250 books in it. Books are being shipped from the warehouse such that the number of books decreased by 150

Lapatulllka [165]

Using an linear function, we have that:

The inequality is: $-150D + 7250 < 2000$

The warehouse will start printing more books on the 35th day, hence it won't be printing on the 30th day.

<h3>What is a linear function?</h3>

A linear function is modeled by:

$y = mx + b$

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem:

A warehouse contains 7250 books in it, hence b = 7250.

Books are being shipped from the warehouse such that the number of books decreased by 150 per day, hence m = -150.

Thus, the number of books each day is modeled by the following function:

$B(D) = -150D + 7250$

It will begin to print more books when the warehouse contains less than 2000 books, hence, the inequality is:

$B(D) < 2000$

$-150D + 7250 < 2000$

Then:

$-150D < -5250$

$150D > 5250$

$D > \frac{5250}{150}$

$D > 35$

The warehouse will start printing more books on the 35th day, hence it won't be printing on the 30th day.

More can be learned about linear functions at brainly.com/question/24808124

7 0

2 years ago

Jada was using square stickers that were 3/4in long to decorate the spine of a photo album. The spine is 10 and 1/2in long. If s

nevsk [136]

Answer:

13

Step-by-step explanation:

Given:

Square stickers that were 3/4 in long
The spine is 10 and 1/2 in long

If she laid the stickers side by side without gaps or overlaps so the number of sticker to cover the length of the spine:

$\frac{The length of the spine}{the length of the sticker}$

10 : $\frac{3}{4}$ ≈13

She needs 13 stickers cover the length of the spine

7 0

3 years ago

Read 2 more answers

What is the way to best choose the answers

Sunny_sXe [5.5K]

The B option is the correct answer

7 0

3 years ago

Read 2 more answers

I need help in finding these diagrams. Geometry.

SashulF [63]

I hope this helps you

56+35+CB=180

CB=91

AE=117

AEC=180+56=236

BDA=89+56+180=325

8 0

3 years ago