<u>Given</u>:
The given expression is 
We need to determine the factor of the given expression.
<u>Factor</u>:
Let us rewrite the given expression.
Thus, we have;

Since, the above expression is of the form
, let us apply the identity 
Thus, we have;
------ (1)
Now, we shall factor the term 


Substituting the above expression in equation (1), we have;

Therefore, the factor of the given expression is 
Hence, Option B is the correct answer.
Answer:
<h2>It takes 36 minutes to fill the bathtub using just hot water.</h2>
Step-by-step explanation:
We are gonna name V the complete volume of the bathtub, which is filled a certain amount of minutes. Each filling rate or speed is gonna be expressed as:
.
So, if we apply this consideration to each case we have:
Using cold and hot water: 
Using only cold water: 
Using only hot water:
; because we don't knot the time it takes to fill the bathtub with hot water.
Now, as you can see, Cold and Hot water is a sum of cold water only and hot water only:

Solving the equation for <em>x: </em>

Therefore, it takes 36 minutes to fill the bathtub using just hot water.
The 300th customer would be the first to recieve both. They would have given away 5 of the 20$ gift cards and 12 of the 10$ ones for a total of 17 gift cards.
Answer:
a) 6
Step-by-step explanation:
Expanding the polynomial using the formula:

Also

I think you mean 
We can deduce that this term will be located somewhere in the middle. So I will calculate
.
For 

Note that we actually don't need to do all this process. There's no necessity to calculate the binomial, just 
For 

Answer:
The correct answer is diagonals are equal and bisect each other.
Step-by-step explanation:
A rectangle is a quadrilateral with opposites sides equal in length and all interior angles equal to 90°. Opposite sides are parallel and adjacent sides are perpendicular. Diagonals in a rectangle are equal in length and they bisect each other. If we want to draw a circumcircle, then the point of intersection of these diagonals give the circumcenter.