Rotate the rectangle 90° clockwise about the origin.

Mathematics

1 answer:

WINSTONCH [101]2 years ago

3 0

The coordinates of the new rectangle formed after transformation are; A'(3, -1); B'(6, -1); C'(6, 4); D'(3, 4)

<h3>How to carry out rotational transformation?</h3>

We are told that the original rectangle which I labelled ABCD in the attached image is rotated 90° clockwise about the origin.

Now, from the translation of Rectangle ABCD into A'B'C'D' using the transformation rule in the question, the new coordinates are;

A'(3, -1)

B'(6, -1)

C'(6, 4)

D'(3, 4)

Read more about Rotational Transformation at; brainly.com/question/4289712

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Use graphing to find the solutions to the system of equations.

Galina-37 [17]

In order to utilize the graph, first you have to distinguish which graph accurately pertains to the two functions.

This can be done by rewriting the equations in the form y = mx + b which can be graphed with ease; where m is the slope and b is the y intercept.

-x^2 + y = 1
y = x^2 + 1

So this will be a basic y = x^2 parabola where the center intercepts on the y axis at (0, 1)

-x + y = 2
y = x +2

So this will be a basic y = x linear where the y intercept is on the y axis at (0, 2)

The choice which depicts these two graphs correctly is the first choice. The method to find the solutions to the system of equations by using the graph is by determining the x coordinate of the points where the two graphed equations intersect.

3 0

2 years ago

the cost of printing a store flyer is 440 for 1000 copies and 880 for 2000 copies. write a linear equation for modeling this dat

Anna35 [415]

Since they tell us that this is linear, having a constant rate of change, we can express this as a line:

y=mx+b, where m=slope (change in y divided by change in x) and b=y-intercept (value of y when x=0)

First find the slope, or m, which mathematically is:

m=(y2-y1)/(x2-x1), in this case:

m=(880-440)/(2000-1000)

m=440/1000

m=0.44, so far our line is:

y=0.44x+b, now we can use either data point to solve for b, I'll use (1000,440)

440=0.44(1000)+b

440=440+b

0=b, so our line is just:

y=0.44x

7 0

3 years ago

Read 2 more answers

Use what you've learned in this unit to model the population of Western

azamat

The population function of the Western Lowland Gorillas can either represent population growth or population decay

<h3>How to model the population</h3>

The question is incomplete, as the resources to model the population of the Western Lowland Gorillas are not given.

So, I will give a general explanation to solve the question

A population function can be represented as:

$y = a(1 \pm r)^x$

Where:

The initial population of the Western Lowland Gorillas is represented by (a)
The rate at which the population changes is represented by (r)
The number of years since 2022 is represented by (x)
The population in x years is represented by (y)

From the question, we understand that the population of the Western Lowland Gorillas decreases.

This means that the rate of the function would be an exponential decay i.e. 1 -r

Take for instance:

$y = 2000 * 0.98^x$