Answer:

Step-by-step explanation:
I'm going to write 105 as a sum of numbers on the unit circle.
If I do that, I must use the sum identity for sine.


Plug in the values for sin(60),cos(45), sin(45),cos(60)



 
        
                    
             
        
        
        
Answer:
y = -4x+4
Step-by-step explanation:
Pick two points on the line
(0,4) and (1,0)
We can find the slope
m = (y2-y1)/(x2-x1)
    = (0-4)/(1-0)
    = -4/1 =-4
We know the y intercept is 4
The slope intercept form of the equation is y = mx+b  where m is the slope and b is the y intercept
y = -4x+4
 
        
                    
             
        
        
        
Answer:
500
Step-by-step explanation:
15% * x = 75
(15/100) * x = 75           Multiply both sides by 100/15
(15/100)*(100/15) = 75 * 100/15
x = 7500/15
x = 500
Answer 500
Proportion
15/100 = 75 / x             Cross multiply
15x = 100*75                Combine the right
15x = 7500                   Divide 15
15x/15 = 7500/15
x = 500
 
        
                    
             
        
        
        
Substituting y=6x+2 into equation 3y - 18x =12 looks like:
3(6x + 2) - 18x = 12
18x + 6 - 18x = 12  distributive property left side
6 = 12  simplifying the left side
We now see a contradiction:   6 does not equal 12  What this tells us is that there is no solutions to this equation.  So choice 'C' ...