Answer:
49x + 114
Step-by-step explanation:
[   [ fireplace ] x   = area of 5 ]  x + 6
                   ]  x + 6
      5x
    patio               = area of 5 + 49x + 114
 + 49x + 114
5x + 19
  
(5x + 19) ( x + 6) = 5 + 19x + 30x + 114
 + 19x + 30x + 114
(5 + 49x + 114)                     -   (5
 + 49x + 114)                     -   (5 )                         =           49x + 114
 )                         =           49x + 114
(area of patio and fireplace) - (area of fireplace)     =       (area of patio only)
 
        
             
        
        
        
Answer:
20
Step-by-step explanation:
 the LCM of 2, 4, and 5?
2

 
        
             
        
        
        
calculate length of the sides of the rectangle and multiply then do the same with the parallelogram
 Total area is 51 square units
 
        
             
        
        
        
Answer:
<em>The domain of f is (-∞,4)</em>
Step-by-step explanation:
<u>Domain of a Function</u>
The domain of a function f is the set of all the values that the input variable can take so the function exists.
We are given the function

It's a rational function which denominator cannot be 0. In the denominator, there is a square root whose radicand cannot be negative, that is, 4-x must be positive or zero, but the previous restriction takes out 0 from the domain, thus:
4 - x > 0
Subtracting 4:
- x > -4
Multiplying by -1 and swapping the inequality sign:
x < 4
Thus the domain of f is (-∞,4)