Explanation:
First, we need to find the values of the sine and cosine of x knowing the value of tan x and x being in the 3rd quadrant. Since tan x = 5/12, using Pythagorean theorem, we know that

Note that both sine and cosine are negative because x is in the 3rd quadrant. 
Recall the addition identities listed below:









Therefore, the expression reduces to



 
        
             
        
        
        
Answer:
Step-by-step explanation:
Use the slope formula:

where m = slope
Given the coordinates 
(-4, 4) ---> this means x1 = -4 , y1 = 4
(2, -5) ---> this means x2 = 2 , y2 = -5 
Substitute these values into the slope formula:


 
        
             
        
        
        
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Answer:
4
Step-by-step explanation:
2+2 is 4