20x^2y - 4xy
First, we look at what terms are common between each term.
There is a 4 present in the last term, and 4 is a factor of 20, so that is one factor.
Each term also includes at least one x, and one y, so x and y are also factors.
We can factor a 4, an x, and a y out of this.
<h3><u>4xy(5x - 1) is the fully factored form of this binomial. </u></h3>
Answer:
The coordinates of B are (10,2)
Step-by-step explanation:
Hi there!
We know that BC has a midpoint M, with the coordinates (6,6), and the endpoint C, with coordinates (2, 10)
We want to find the coordinates of point B
The midpoint formula is
, where
and
are points. In this case, the point C has the values of
, and B has the values of 
We know that coordinates of M equal 
In other words,

Let's plug 2 for
and 10 for 
So:

Multiply both sides by 2

Subtract 2 from both sides in the first equation to find the value of
:

Now, for the second equation, subtract 10 from both sides to find the value of 

Now substitute these values for 

So the coordinates of point B are (10, 2)
Hope this helps!
5 offices = x offices
6 hours 12 hours
quick math shows that it's 10 offices
Answer:
16
Step-by-step explanation:
use the formula (b/2)^2 to find what number to add to each side of the equation
Hi! It will be a pleasure to help you finding the solution to this problem, so let's solve each part:
<h2>PART 1.</h2><h3>Finding the correct expression.</h3><h3>Correct answer:</h3>

From the problem, we know the following data of the problem:
- Laval parked at the beach.
- Laval paid a fixed price of $4 for a pass.
- Laval paid $1.50 for each hour.
Our goal is to find the the expression for the total cost for parking at the beach for h hours. So:
Step 1: Since we have a fixed price, this value will appear in our expression:

Step 2: Since Laval paid $1.50 for each hour, this can be represented as the following expression:

Finally, we can write total cost (C) as the sum of these two expressions:

Finally, our correct option is A:

<h2>PART 2.</h2><h3>Finding h.</h3><h3>Correct answer:</h3>
5 hours
Here we have to find how many hours Laval spent at the beach knowing that he paid a total amount of $11.50. From the previous part, we know that our expression is:

Finally, he spent 5 hours at the beach