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Alexxandr [17]
1 year ago
11

Julie plans to put a fence around her square shaped backyard. The length of one side measures 2n-3feet. Write a simplified expre

ssion to represent the perimeter of the backyard. 
Mathematics
1 answer:
Vsevolod [243]1 year ago
5 0

We have the following:

Since it is a square, the sides are equal, and the perimeter is the sum of all the sides, therefore it would be

\begin{gathered} p=4\cdot l \\ l=2n-3 \\ \text{replacing} \\ p=4\cdot(2n-3) \\ p=8n-12 \end{gathered}

The answer is 8n - 12

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A theatre has seats arranged in rows of 24, 382 people attend a show at the theatre. What is the smallest number of rows that is
kipiarov [429]

Answer:

A minimum of 16 rows are needed

Step-by-step explanation:

Here, we want to calculate the number of rows minimum that could seat 382 people in rows of 24 seats.

Mathematically, what we need to do here is to make a division.

We shall divide the number of people by the number of seats in a row so that we can get the number of rows needed.

Mathematically, that would be; 382/24 = 15 22/24

We are looking at a minimum number.

So we can see that 15 rows will be filled, with an extra 22 seats in the next row leaving only 2 seats in the next row unoccupied.

So we can see that the minimum number of rows required is 16 rows

3 0
3 years ago
These questions are really important for me to answer please guys help me
marysya [2.9K]

Answer:

\cos(41 = adj \div hyp

\cos(41)  =  \frac{y}{30cm}

y =  \cos(41)  \times 30

y=29.62017

4 0
3 years ago
Use the grouping method to factor x^3+x^2+3x+3
maks197457 [2]

Answer:

(x^2 + 3)(x + 1).

Step-by-step explanation:

x^3 + x^2 + 3x + 3

= x^2(x + 1) + 3(x + 1)

= (x^2 + 3)(x + 1).

7 0
2 years ago
How to graph y = 2|x + 3| - 4
mr_godi [17]

The x-intercepts and the y-intercepts of the function is that determines the graph is:

  • x-intercepts = (-5,0) and (-1,0)
  • y-intercepts = (0,2)

<h3>How do we graph the function y = f(x) of an absolute equation?</h3>

The function of an absolute equation can be graphed by determining the values of x-intercepts and the y-intercepts of the function.

From the given equation:

y = 2|x+3| - 4

To determine the y-intercepts, we need to set the values of x to zero, and vice versa for x-intercepts.

By doing so, the x-intercepts and the y-intercepts of the function is:

  • x-intercepts = (-5,0) and (-1,0)
  • y-intercepts = (0,2)

Therefore, since we know the x and y-intercepts, the graph of the absolute value can be seen as plotted below.

Learn more about determining the graph of an absolute equation here:

brainly.com/question/2166748

#SPJ1

8 0
1 year ago
A square with a side length of 2 units is dilated on a coordinate plane using the origin as the center of dilation. The resultin
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I literally know that it’s that it’s that
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