Answer:

Step-by-step explanation:
Given

Required
Simplify

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So:


Here is your answer
Given area is
z^2 + 18z + 81
= z^2 + 2× z × 9 + 9^2
[using (a+b)^2= a^2 + 2ab + b^2], we get
= (z+9)^2
we know that area of a square is represented by side^2.
So, here
Side of square is

HOPE IT IS USEFUL
Answer:
Charlie has used his phone in a month for at least 1404 minutes
Step-by-step explanation:
In order to solve this problem, we must first determine what will our variable be and what it will represent.
Let's say our variable is x and it will represent the number of minutes Charlie has used his phone.
After we set our variable up, we can set our equation up. The problem states that Charlie will pay a monthly fee of $18 and additional $0.06 per minute of use. The $18 is what is called a fixed cost and the $0.06 is the variable cost, which will depend on our variable x (the number of minutes spent). Taking this into account we can build an inequality that will represent the amount of money spent in a month, which will look like this:

so now we can solve that inequality for x, we can start by subtracting 18 from both sides, so we get.

Next, we can divide both sides of the inequality by 0.06 so we get:

so that's where the answer came from. Charly has used an amount of at least 1404 minutes
Answer:
The equation
gives average time spent on 35 rehearsals.
Step-by-step explanation:
We are supposed to find that what question does the equation
finds answer of.
We can see that 35x represents time spent on 35 rehearsals and
is time spent on other responsibilities related to play. The sum of these times equals to total time spent on preparing the play.
Now let us solve our equation step by step.
After subtracting
hours from 190 hours we will get time spent on 35 rehearsals.


Time spent on 35 rehearsals is 96.25 hours and we are told that each rehearsal took different amount of time. Dividing 96.25 by 35 we will get average time spent on each rehearsal.
Therefore, equation
finds average time spent on 35 rehearsals.
Answer:
-41.328
Step-by-step explanation: