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2 years ago

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A group of students is arranging squares into layers to create a project. The first layer has 5 squares. The second layer has 10

squares. Which formula represents an arithmetic explicit formula to determine the number of squares in each layer ?

1 answer:

Andreyy892 years ago

7 0

Answer: Its B i just took the test

Step-by-step explanation:

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Find the slope between the two points given. Then, use the slope and one of the points to write the

IrinaVladis [17]

Answer:

The slope is -2

y =-2x - 1

Step-by-step explanation:

The slope is -2 or -2/1.

The slope is the change in y over the change in x. The ordered pair is written in the form (x,y) The first number is the x coordinate and the second number is the y coordinate.

(1, -3) (0, -1) The -1 and the -3 are the y coordinates. We subtract these.

-1 -(-3) is the same as

- 1 + 3 which is 2.

(1, -3) (0, 1,) the 1 and the 0 are the x coordinates. We subtract these

0 - 1 is -1

The change in y is 2 and the change in x is -1, so our slope is -2/1 which is the same as -2.

To write the equation we need the slope and the y intercept. We have the slope now. We need to find the y-intercept. We will use the slope and one of the points to find the y-intercept. It does not matter which of the two points (1,-3) or (0,-1). I will use (0,-1)

y = mx + b The b is the y-intercept which is what we are looking for

-1 = -2(0) + b

-1 = 0 + b

-1 = b

y = -2x -1

3 0

1 year ago

Find cos ⁡ ( 2 ⋅ ∠ A B C ) cos(2⋅∠ABC)

Pavlova-9 [17]

The value of the cosine function is -0.385

<h3>How to determine the measure of the cosine function?</h3>

The figure that completes the question is added as an attachment

From the figure, we have the following sides

AB = √13

AC = 3

BC = 2

The triangle is a right triangle.

The angle B is calculated as:

cos(B) = 2/√13

Evaluate

cos(B) = 0.5547

Take the arccos of both sides

B = 56.31

This means that:

cos(ABC) = cos(56.31)

Multiply ABC by 2.

So, we have:

cos(ABC * 2) = cos(56.31 * 2)

Evaluate the product

cos(ABC * 2) = cos(112.62)

Evaluate the cosine

cos(ABC * 2) = -0.385

Hence, the value of the cosine function is -0.385

Read more about cosine function at

brainly.com/question/17075439

#SPJ1

3 0

1 year ago

What is an equation for the following transformation of y=x: a vertical stretch by a factor of six.

BaLLatris [955]

Your answer is y=x-6

5 0

2 years ago

Use the formulas to generate a Pythagorean Triple with x = 5 and y = 2. The three side lengths, from smallest to largest are: a0

stiv31 [10]

<span>Perhaps you mean that for any integers x and y, x > y, xÂ˛ - yÂ˛, 2xy, and xÂ˛ + yÂ˛ form a Pythagorean triple. If GCF(x, y) = 1, the triple is primitive. For x = 5, y = 2, the triple is 21, 20, 29, or from smallest to largest, 20, 21, 29 âś Let's just check 20Â˛ + 21Â˛ = 841= 29Â˛</span>

8 0

2 years ago

Read 2 more answers

Which of the following equations, in its simplest form,

Ilya [14]

Hi there!

»»————-　★　————-««

I believe your answer is:

$\boxed{x-1+x-2+x}$

»»————-　★　————-««

Here’s why:

⸻⸻⸻⸻ $\boxed{\text{Simplifying the Expression...}}\\\\3x+2+(-5)\\----------------\\\rightarrow 3x+2-5\\\\\rightarrow\boxed{3x-3}\\\\\text{This is not an answer choice, so we would find an expression equivalent to the one above.}$ ⸻⸻⸻⸻

$\boxed{2 +3x+5}\\\\\rightarrow 3x + 5 + 2\\\\\rightarrow \boxed{3x + 7}\\\\\text{This is \textbf{NOT} equivalent.}$

⸻⸻⸻⸻

$\boxed{x-1+x-2+x}}\\\\\rightarrow x+x+x -1-2\\\\\rightarrow \boxed{3x-3}\\\\\text{This is \textbf{equivalent}.}\\\\\text{This answer choice and the expression given has the same result when simplified.}$

⸻⸻⸻⸻

$\boxed{-3-3x-1+x}}\\\\\rightarrow-3-1-3x+x\\\\\rightarrow -4-2x\\\\\rightarrow \boxed{-2x-4}\\\\\text{This is \textbf{NOT} equivalent.}$

⸻⸻⸻⸻

$\boxed{3-3x}\\\\\rightarrow{-3x+3}\\\\\text{This is \textbf{NOT} equivalent.}$

⸻⸻⸻⸻

$\text{Option B, } x-1 +x-2 + x, \text{ should be the correct answer.}$

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.

3 0

2 years ago