Answer:
the equation of the axis of symmetry is 
Step-by-step explanation:
Recall that the equation of the axis of symmetry for a parabola with vertical branches like this one, is an equation of a vertical line that passes through the very vertex of the parabola and divides it into its two symmetric branches. Such vertical line would have therefore an expression of the form:  , being that constant the very x-coordinate of the vertex.
, being that constant the very x-coordinate of the vertex.
So we use for that the fact that the x position of  the vertex of a parabola of the general form:  , is given by:
, is given by:

which in our case becomes:

Then, the equation of the axis of symmetry for this parabola is:

 
        
             
        
        
        
H would be your answer (9x2)+(14x4)=74
        
                    
             
        
        
        
Answer: about 16
Step-by-step explanation:
See picture for more information 
 
        
                    
             
        
        
        
Answer:
1) x = 42 ; y = 42
2) x = 72 ; y = 48 ; z = 60
Step-by-step explanation:
1)
x + 42 + 96 = 180
x + 138 = 180
x = 42
y + 42 + 96 = 180
y + 138 = 180
y = 42
2)
x + 108 = 180
x = 72
y + 132 = 180
y = 48
z + x + y = 180
z + 72 + 48 = 180
z + 120 = 180
z = 60
 
        
             
        
        
        
Answer:
Step-by-step explanation:
Given that:
The differential equation; 
The above equation can be better expressed as:

The pattern of the normalized differential equation can be represented as:
y'' + p(x)y' + q(x) y = 0
This implies that:



Also;


From p(x) and q(x); we will realize that the zeroes of (x+2)(x-2)² = ±2
When x = - 2






Hence, one (1) of them is non-analytical at x = 2.
Thus, x = 2 is an irregular singular point.