Functions W and Z are both linear functions of x. Which statement comparing the functions is true?

Bond [772]

Finally figured it out :D

The function rules is:
y = -5x - 1

9 = -5(-2) - 1
4 = -5(-1) - 1
-1 = -5(0) - 1
-6 = -5(1) - 1
-11 = -5(2) - 1

4 0

2 years ago

??????????????????????

11Alexandr11 [23.1K]

The answer is a
hope this helps

7 0

2 years ago

Complete the coordinate proof of the theorem.

mojhsa [17]

C(a,b), because the x-coordinate( first coordinate) is a (seeing as it is situated directly above point B, which also has an x-coordinate of a) and the y-coordinate ( second coordinate) is b (seeing as it is situated on the same horizontal level as point D, which also has a y-coordinate of b)

the length of AC can be calculated with the theorem of Pythagoras:

length AB = a - 0 = a
length BC = b - 0 = b

seeing as the length of AC is the longest, it can be calculated by the following formula:

It is called "Pythagoras' Theorem" and can be written in one short equation:

a^2 + b^2 = c^2 (^ means to the power of by the way)

in this case, A and B are lengths AB and BC, so lenght AC can be calculated as the following:

a^2 + b^2 = (length AC)^2
length AC = √(a^2 + b^2)

Extra information: Seeing as the shape of the drawn lines is a rectangle, lines AC and BD have to be the same length, so BD is also √(a^2 + b^2). But that is also stated in the assignment!

3 0

3 years ago

Read 2 more answers

A container built for transatlantic shipping is constructed in the shape of a right rectangular prism. Its dimensions are 7.5 ft

Yuri [45]

Considering the definition of right rectangular prism and its volume, the total weight of the contents is 38.81 pounds.

<h3>Right rectangular prism</h3>

A right rectangular prism (or cuboid) is a polyhedron whose surface is formed by two equal and parallel rectangles called bases and by four lateral faces that are also parallel rectangles and equal two to two.

<h3>Volume of right rectangular prism</h3>

To calculate the volume of the rectangular prism, it is necessary to find the product of its dimensions, or of the three edges that converge at a certain vertex.

That is, to calculate the volume of a rectangular prism, multiply its 3 dimensions: length×width×height.

<h3>Volume of the container </h3>

In this case, you know that:

the dimensions of the container built are 7.5 ft by 11.5 ft by 3 ft.
the container is entirely full and, on average, its contents weigh 0.15 pounds per cubic foot.

So, the volume of the container is calculated as:

7.5 ft× 11.5 ft× 3 ft= <u><em>258.75 ft³</em></u>

Then, the total weight of the contents is calculated as:

258.75 ft³× 0.15 pounds per cubic foot= <u><em>38.8125 pounds≅ 38.81 pounds</em></u>

Finally, the total weight of the contents is 38.81 pounds.

Learn more with this similar problems:

<u>brainly.com/question/13962136</u>

<u>brainly.com/question/7171617</u>

8 0

2 years ago

Simplify<br> Square root of 224

Mariulka [41]