A difference of 1 foot and the shorter fence is 2 feet high so the taller fence is 2+1 = 3 feet tall
        
                    
             
        
        
        
Answer:
   y = 105x
Step-by-step explanation:
$315 ÷ 3 = $105 per hour
$525 ÷ 5 = $105 per hour
Constant of Proportionality is $105 in both cases.
y = kx
y = 105x
 
        
             
        
        
        
Answer:
dx/dt = 5√5/2
Step-by-step explanation:
Given:
dx/dt = 25 feet per second
According to Pythagoras theorem:
x² + 90² = y²
We know that x = 30 ft
So,
x² + 90² = y²
30² + 90² = y²
y = 30√10
So,
x² + 90² = y²
By taking differentiate:
2x dx/dt = 2y dy/dt
[x/y][dx/dt] = dy/dt
dx/dt = 5√5/2
 
        
             
        
        
        
Number 4 is arithmetic explicit
Number 1 is arithmetic recursive
Number 2 is geometric explicit 
Number 3 isgeometric recursive
 
        
             
        
        
        
6a^3 : 3a = 2a^3-1 = 2a^2
The quotient is 2a^2
Hope it helped