Answer:
You can use Pythagoras theorem to calculate x:
 12² + 14² = x²
144 + 196 = x²
            x² = 340
            x   = √340 ≈ 18,44
 
        
             
        
        
        
You would have to use this equation : y2-y1/x2-x1 = slope
So it would be -13 +3/6-2= -10/4
Simplify it and you get : -5/2
Slope is -5/2
 
        
                    
             
        
        
        
Answer:
2
Step-by-step explanation:
loge(x) is ln(x)
f(x) × ln(x)
Differentiate using product law
[ln(x) × f'(x)] + [(1/x) × f(x)]
x = 1
[ln(1) × f'(1)] + [(1/1) × f(1)]
(0 × 4) + (1 × 2)
0 + 2
2
 
        
             
        
        
        
Answer:
 Option b) is correct.
The completed factor of given expression is  
Step-by-step explanation:
Given expression is 
To find the completed factor for the given expression:
  :
:
Taking the common number "2" outside  to the above expression we get
 
Now rewritting the above  expression as below
 (since 16 can be written as the number 2 to the power of 4)
  (since 16 can be written as the number 2 to the power of 4)

The above expression is of the form 
Here  and
 and  
Therefore it becomes

 
  
The above expression is of the form 
Here  and
 and  
Therefore it becomes
 
  
 
  
Therefore  
  
 
  
Option b) is correct.
The completed factor of given expression is  
 
        
                    
             
        
        
        
Answer:
   71°
Step-by-step explanation:
In order to be able to solve this problem, we must assume the relation between lines "a" and "b" is that they are parallel.
If a║b, then ∠1 and ∠2 are corresponding, hence congruent.
   m∠1 = m∠2 = 71°