The denominator 13 cannot be factored so that only 2's and 5's show up, so this means that 2/13 is a non-terminating decimal. Therefore, this decimal repeats itself
Use a calculator to see that: 2/13 = 0.153846 153846 153846 ....
The spaces are put in to help make the number more readable. Note how the "153846" keeps repeating forever
Answer:
79 degrees.
Step-by-step explanation:
It is just a rule of trigonometry that all the angles inside ANY triangle will add up to 180 degrees.
There's only 3 possible angles in a triangle, so if you know what the sum of 2 are, its easy to find the last one.
All you have to do is 180 - 101, which equals 79 degrees.
Hope this helped : )
Answer:
(x - 2)(x + 1)(2x -1)
Step-by-step explanation:
We use synthetic division as a tool for factoring the given expression. The coefficients of the terms given are {2, -3, -3, 2}. If x - 2 is a factor of this expression, then 2 is a root. We perform synthetic division as follows:
2 / 2 -3 -3 2
4 2 -2
-------------------------------
2 1 -1 0
Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s). Using -1 as divisor, we get:
-1 / 2 1 -1
-2 1
---------------------
2 -1 0
Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor. Answer D is correct.
This question is very oddly worded. The domain is the set of x-values, but this is a set of (x,y) ordered pairs.
I'm reading this question as "Here's a function, { (1,5), (2,1), (-1,-7) }. If this is reflected over the x-axis, what's the range?"
Assuming that is the question that is meant to be asked, reflecting a function over the x-axis will just change the signs of the y-values.
(1,5) -> (1,–5)
(2,1) -> (2,–1)
(-1,-7) -> (-1,+7)
I'd pick the third option.
