Use sine = opposite / hypotenuse
 
        
        
        
Answer:
(2,1)
Step-by-step explanation:
 
        
             
        
        
        
B
given f(x) in factored form, equate to zero for x-intercepts
(x - 8)(x - 4) = 0, hence
x = 4, x = 8 ← x- intercepts
The vertex lies on the axis of symmetry which is situated at the midpoint of the x- intercepts
x- coordinate of vertex =  = 6
 = 6
f(6) = (6 - 8 )(6 - 4 ) = -2 × 2 = - 4 ← y-coordinate
vertex = (6, - 4 ) → B
 
        
             
        
        
        
Answer:
We conclude that the equation of the line is:
Step-by-step explanation:
The slope-intercept form of the line equation

where
Given the data table
x      -3 -5 -7 -9 -11
y      -16 -26 -36 -46 -56
From the table taking two points
Determining the slope between (-3, -16) and (-5, -26)




Thus, the slope of the line is:  m = 5
substituting m = 5 and (-3, -16) in the slope-intercept form of the line equation  to determine the y-intercept b

-16 = 5(-3) + b
-16 = -15 + b
b = -16+15
b = 1
Thus, the y-intercept b = 1
now substituting m = 5 and b = 1 in the slope-intercept form of the line equation


Therefore, we conclude that the equation of the line is: