Answer:
D
Step-by-step explanation:
We are given that:

And we want to find the value of tan(2<em>x</em>).
Note that since <em>x</em> is between π/2 and π, it is in QII.
In QII, cosine and tangent are negative and only sine is positive.
We can rewrite our expression as:

Using double angle identities:

Since cosine relates the ratio of the adjacent side to the hypotenuse and we are given that cos(<em>x</em>) = -1/3, this means that our adjacent side is one and our hypotenuse is three (we can ignore the negative). Using this information, find the opposite side:

So, our adjacent side is 1, our opposite side is 2√2, and our hypotenuse is 3.
From the above information, substitute in appropriate values. And since <em>x</em> is in QII, cosine and tangent will be negative while sine will be positive. Hence:
<h2>

</h2>
Simplify:

Evaluate:

The final answer is positive, so we can eliminate A and B.
We can simplify D to:

So, our answer is D.
The least common multiple would be 240.
120(2)=240 AND
80(3)=240
Answer: The first one
Step-by-step explanation:
Answer:
sorry foe being late
Step-by-step explanation:
Slope = (2 + 1) / (-5 - 10) = -3/15 = - 1/5
Equation
y - 2 = -1/5 (x + 5)
y - 2 = -1/5 x - 1
y = -1/5 x + 1
Answer
y = -1/5 x + 1