Answer:
Length = 16 inches and width = 12inches
Step-by-step explanation:
A = 192 in² . The width is 4 + 1/2x.  therefore let x = length
Area = LW
192 =  x(4 + 1/2 x)
192 = 4x + 1/2x²       
 384 = 8x  + x²                            Multiply each term by 2 to make a  
384 + 16 =  x² + 8x + 16              Complete the square
400 = (x  + 4)²         

± 20 = x + 4
 20 = x + 4  or  -20 = x + 4
20 - 4 = x     or  -20 - 4 = x
     16 = x   or   -24 = x   reject the negative amount
    Length = 16
    width = 4 + 1/2(16);   4 + 8 = 12
 
        
             
        
        
        
Answer:
No
Step-by-step explanation:
Let's find the slope of both lines and then compare these slopes:
From (-4,3) to (-5,4) entails a decrease of -1 in x and an increase of 1 in y.  Thus, the slope is m = rise / run = 1/(-1) = -1.
From (0,1) to (5,0) entails an increase of 5 in x and a decrease of 1 in y.  The slope here is m = rise / run = -1/5.
For these lines to be parallel, their slopes must be the same.  That is not the case here, so NO, the lines are not parallel.
 
        
             
        
        
        
X=4 because you combine 2+4 and subtract -6 then divide
        
             
        
        
        
Answer:
6. Actual length is 8 mm.
7. 13
8. 4
9. x=12
10. y=4
11. a=-3
12. y=-5 
Step-by-step explanation: