We are asked to express the diagonal of a rectangle in terms of the width in which the area of the polygon is equal to 13 square feet. The area of teh rectangle is equal to length times width. That is 13 = lw; diagonal using pythagorean theorem is sqrt ( l2 + w2). Thus d =  sqrt ( (13/w)2 + w2) = sqrt ( (169/w2 + w2) = sqrt ( (169 + w4)/w2) = 1/w  sqrt (169 + w4)
        
                    
             
        
        
        
The intercepts are -2 and -7 on the x-axis
        
             
        
        
        
Answer:
23
Step-by-step explanation:
5x6-c
5x6=30
30-c
c=7
30-7=23
 
        
                    
             
        
        
        
Answer:
2
Step-by-step explanation:
We can set up equation for this one.
Let's say the number is X.
the sum of X and 14 can be expressed as : X+14
five times the sum of X and 14 can be expressed as 5(x+14)
and 5(X+14) = 80

The number  is 2
 
        
             
        
        
        
1/2 ( -3/2 + 6x + 1) - 3x 
Simplify:
= 1/2 (-1/2 + 6x) - 3x
Apply distributive property:
= -1/4 + 3x -3 x
Simplify:
= -1/4