You have not given us any of the steps that Ricardo took to simplify the
expression, and you also haven't given us the list of choices that includes
the description of his mistake, so you're batting O for two so far.
Other than those minor details, the question is intriguing, and it certainly
draws me in.
If Ricardo made a mistake in simplifying that expression, I'm going to say that
it was most likely in the process of removing the parentheses in the middle.
Now you understand that this is all guess-work, because of all the stuff that you
left out when you copied the question, but I think he probably forgot that the 3x
operates on everything inside the parentheses.
He probably wrote that 3x (x-3) is
either 3x² - 3
or x - 9x .
In reality, when properly simplified,
3x (x - 3) = 3x² - 9x .
Answer:
The solutions are x = -4 and x = 4.
Step-by-step explanation:
Solving a quadratic equation:
We have to find x for which 
.
In this question:
So
The solutions are x = -4 and x = 4.
Since we know that there are exactly 180 degrees in any triangle, and if each angle is equal to 45 degrees, we must add 45 to 45 and then subtract the result from 180 to find the 3rd angle. Since 45+45=90,we subtract 180-90 and get 90 degrees or a right angle.
Answer:
x = 52 degrees.
Step-by-step explanation:
Here we make use of the fact that the interior angles of any triangle add up to 180 degrees. Before this we must find an algebraic expression for interior angle RQS:
Since angle RQS + x + 72 = 180 degrees, angle RQS is equal to 180 -72 - x, or 108 - x.
The sum of the three interior angles is then
108 - x + 90 + 34, or 232 - x degrees, and this sum must equal 180 degrees.
Then 232 - x = 180. Solving for x, we get x = 52 degrees.
