Answer:

Explanation:
Here, we want to get the value of sine S
The sine of an angle is the ratio of the opposite side to the hypotenuse side
The hypotenuse side is the side that faces the right angle which is the small box. It is the longest side of the triangle and it measures 10
The opposite is the side that faces the angle which is 6
We have the sine as:
 
 
        
             
        
        
        
Answer:
 z = 1/4
Step-by-step explanation:
See attached image 
 
        
                    
             
        
        
        
The x coordinate of the vertex will be the average of the two zeros, here -3 and 5, so x=(-3+5)/2 = 1, f(1)=(1+3)(1-5) = -16.
Answer: (1, -16)
Let's do it some other ways.  How about completing the square to turn f in to vertex form?
f(x) = (x+3)(x-5) = x² - 2x - 15 = (x² - 2x + 1) - 1 - 15 = (x-1)² - 16
and now we can read off (1, -16) as the vertex.
The other method is the vertex is x= - b/2a =  - (-2)/2(1) = 1.
Three methods, same answer. Good.
 
        
                    
             
        
        
        
7 is in the box i believe!!