Answer:
We can describe FOIL using the distributive property of multiplication. For real numbers x, y, and z the distributive property of multiplication states that

Now let
, where v and w are real numbers.
Then 
Here, we can again use the distributive property of multiplication to get

Hence, it follows that

This is the method of FOIL (first: xv, outside: xw, inside: yv, last: yw)
For example, 
Answer:
(-2, 0)
Step-by-step explanation:
midpoint formula :)
Answer:
59.98
Step-by-step explanation:
To find the average of a set of numbers, we sum them all together and divide them by the size of the set. Here, we start out with 11 IQ scores. We don't know what they are, but we can still set up an equation with the information we do have. Let's call the sum of those 11 score <em>s</em>. The average must be s/11, which we know is 101.5. With that, we can set up and solve and equation for <em>s</em>:

Let's call the score of the reality TV star <em>r</em>. If we add their score to the set, we now have <em>12</em> scores. The sum of those scores is gonna be the sum of the previous scores, 1116.5, plus the reality TV star's score, r. To find the average, we divide the sum by 12. Finally, we're told that this average is exactly 98.04. Putting all of this into an equation gives us

We can now solve for r algebraically, first by multiplying both sides by 12:

And then subtracting 1116.5 from both sides:

Well,
For example
2.34 * 10^6 will be....
2,340,000
It is because if you have the positive powers, you move your decimal to the right. In this case the power is 6 so you move your decimal to the right 6 times.
Here's another example
1.23 X 10^-2
The answer will be 0.0123 because you move your decimal two the left two times. The power is negative 2 so you move it to the left.
Final tips: If you have positive power, move it to the right and if you have negative power, move it to the left.