Answer:
dy/dx = -1/
Step-by-step explanation:
y = 1/x
dy/dx = d/dx(1/x)
=> dy/dx = d/dx(
)
=> dy/dx = -
=> dy/dx = -1/
 
        
             
        
        
        
To determine the scale factor of the dilation, we determine the distances between the endpoints of the two lines through the equation,
                            d = √(x₂ - x₁)² + (y₂ - y₁)²
 Substituting the known values.
Line Segment 1:     d = √(1 - 2)² + (4 - 8)²  = 4.123
Line Segment 2:     d = √(18 - 14)² + (12 - 1)² = 11.70
Dividing the answers will give us 0.352
        
                    
             
        
        
        
Answer:
18.71
Step-by-step explanation:
 
        
             
        
        
        
Answer:
x=-10
Step-by-step explanation:
3x-4(2+3x)=82
3x-(4*2)+(4*3x)=82
3x-8-12x=82 
-9x-8=82
-9x-8+8=82+8
-9x=90
-9x/-9=x
90/-9=-10
x=-10