Answer:
Step-by-ste
Oh, oh! This is such a tricky question...
Guess what!
Both of them are correct. Why?
Because if we simplify 3/12, we get 1/4th!
(How do you simplify?)
3/12 = 1/4
Because if we divide both "3" and "12" in 3/12 by 3, we get 1 instead of 3 and 4 instead of 12.
I hope you've got it! ;)
Hi there! The answer is A.

To get a proper idea of the type of function this formula represents we work out the parenthesis.
Working out the parenthesis can for instance be done using rainbow technique.

We can now see sinilarities between this function an the general function of a line in slope intercept form

The function t therefore describes a line with slope 2 and y-intercept 4. Therefore the answer is A.
Start by writing the system down, I will use
to represent 

Substitute the fact that
into the first equation to get,

Simplify into a quadratic form (
),

Now you can use Vieta's rule which states that any quadratic equation can be written in the following form,

which then must factor into

And the solutions will be
.
Clearly for small coefficients like ours
, this is very easy to figure out. To get 5 and 6 we simply say that
.
This fits the definition as
and
.
So as mentioned, solutions will equal to
but these are just x-values in the solution pairs of a form
.
To get y-values we must substitute 3 for x in the original equation and then also 2 for x in the original equation. Luckily we already know that substituting either of the two numbers yields a zero.
So the solution pairs are
and
.
Hope this helps :)
It's been such a long time, but I think (1) should be the addition property since your adding 5 to both sides.
And (2) should be the multiplication property due to multiplying both sides by 2.
The perimeter of a shape is the sum of the lengths of its sides.
So, to find the perimeter of this quadrilateral, all we have to do is add the side lengths and simplify.
(x² - 6) + (2x + 5) + (x² - 3x) + (4x² + 2x)
x² + x² + 4x² + (-3x) + 2x + 2x + (-6) + 5
6x² + (-3x) + 2x + 2x + (-6) + 5
6x² + x + (-6) + 5
6x² + x + (-1)
6x² + x - 1
So, the perimeter of the quadrilateral is the quantity (6x² + x - 1).
Hope this helps!