That is point slope form
y-y1=m(x-x1)
passes through the point (x1,y1) and has  a slope that is m
        
             
        
        
        
Answer:
L = 2, 
O = 31
Step-by-step explanation:
First using the givens, write out some formulas. 
Heavy equipment operators = O
General laborers = L
- O + L = 33
- 138O + 87L = 4044
Now use substitution, it doesn't matter which one you substitute.
- O = -L +33
- 138( -L + 33 ) + 87L = 4044
Distribute and solve for L.
- -138L + 4554 + 87L = 4044
- -138L - 87L = 4044 - 4554
- -225L = -510
- L = -510/-225
- L = 2
L = 2, meaning number of laborers employed is 2.
Now plug 2 = L into one of the original equations.
- O + L = 33
- O + 2 = 33
- O = 33 - 2
- O = 31
O = 31, meaning number of heavy equip. operators employed is 31.
 
        
             
        
        
        
Answer: ALJK
Step-by-step explanation:
 
        
             
        
        
        
Answer:
54
Step-by-step explanation:
There's 27 2's, so 27 * 2 = 54. Note that multiplication exists for a reason: to avoid expression's where there's an absurd number of +'s.
 
        
                    
             
        
        
        
Using the Fundamental Counting Theorem, it is found that she can choose 180 different meals.
<h3>What is the Fundamental Counting Theorem?</h3>
It is a theorem that states that if there are n things, each with  ways to be done, each thing independent of the other, the number of ways they can be done is:
 ways to be done, each thing independent of the other, the number of ways they can be done is:

In this problem:
- For the meat, there are 3 outcomes, hence  . .
- For the two vegetables, 2 are taken from a set of 6, hence, applying the combination formula,  . .
- For the dessert, there are 4 outcomes, hence  . .
Then:

She can choose 180 different meals.
To learn more about the Fundamental Counting Theorem, you can take a look at brainly.com/question/24314866