Answer:
the people would save 12 meters
Step-by-step explanation:
If it is a right triangle that has 45,45,90 angles, Than two side lengths would be the same, so there are two 30 meter side lengths. The path is 48 meters long, and the road would be 60 meters long (30+30), so you subtract 48 from 60, and get 12. You would save 12 meters
 
        
             
        
        
        
Answer:

Step-by-step explanation:
The slope can be calculated using two points, (2, 60) and (4, 50) as shown below:
, where,


Plug in the values into the equation



 
        
                    
             
        
        
        
       First we will find the derivative of each function and equate it to zero.
       f` ( x ) = 6 x + 12
       6 x + 12 = 0
       6 x = - 12
       x = - 2
       f ( - 2 ) 0 12 - 24 + 16 = 4
       f ( x ) min = 4
       g` ( x ) = 4 cos (  2 x - π )
       4 cos ( 2 x - π ) = 0
       cos ( 2 x - π ) = 0
       2 x - π = 3π / 2
       2 x = 5π /2
       x = 5π/4
       g ( 5π/4 ) = 2 sin ( 5π/2 - π ) + 4 = 2 ( sin 3π/2 ) + 4 = -2 + 4 = 2
       g ( x ) min = 2 ( this is the smallest minimum value )