Answer:
sin 2x + cos x =  2 sin x cos x + cos x = (2 sin x + 1)cos x
Step-by-step explanation:
Given the expression: sin 2x + cos x,
then we can use the formula: sin 2x = 2 sin x cos x, which gives:
sin 2x + cos x =  2 sin x cos x + cos x = (2 sin x + 1)cos x
So there you have two expressions in terms of sin x and cos x, as requested. :D
 
        
             
        
        
        
I would tell her that her prediction is inaccurate because it isn’t guaranteed that the coin will land on both sides an equal amount of times. It’s possible that the coin could land heads up more often than it could land tails up or the other way around.
        
             
        
        
        
Answer:
Step-by-step explanation:
To find the distance between two points,  and
 and  , you can use the following distance formula:
, you can use the following distance formula:

Plugging in the points from the problem, you'll get the following:





 
        
                    
             
        
        
        
In any equation there is a variable (usually x). In a quadratic equation there is a lot involved.
-B (+or-) sqrt of b^2 - 4 x A x C
________________________  divide it by
               2 x A
                                                   There is usually an original equation that looks like:  Ax^2 + Bx + C = 0    Use the variables from the equation to the left to fill the upper equation.  (You can also look up a better formula if confused).