Answer:
The volume of the shoe box is 420 cubic inch 
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a righ rectangular prism 
Given data 
Length of prism l= 12inches 
Width of prism w= 7 inches
Height of prism h= 5 inches
We know that the volume of a rectangular prism is expressed as
Volume =l*w*h
Volume = 12*7*5= 420in³
 
        
                    
             
        
        
        
Here, DH = HF  
x+3 = 3y
x = 3y-3   ----(I)
GH = HE
4x-5 = 2y+3
4x = 2y+8
Substitute value of x,
4(3y-3) = 2y+8
12y-12 = 2y+8
12y-2y = 12+8
10y = 20
y = 2 
Now, substitute it in equation 1,
x = 3(2)-3
x = 6-3 = 3
So, your final answer is      x=3  & y=2
 
        
                    
             
        
        
        
Answer:
25
Step-by-step explanation:
 
        
             
        
        
        
Answer:
   1
Step-by-step explanation:
You "complete the square" by adding the square of half the x-term coefficient. Here, that is ...
  ((-2)/2)² = 1 . . . . value added to complete the square
If you want to keep 0 on the right, you must also subtract this value:
   x² -2x -36 = 0
   x² -2x +1 -36 -1 = 0 . . . . . . add and subtract 1 on the left
   (x -1)² -37 = 0 . . . . . . . . . . . written as a square