Answer:
2np + p²
Step-by-step explanation:
The general formula for the area of a square is A = s², where s = the length of one side of the square.  In the case of the smaller square the area would be: n x n = n².  Since the side of the larger square is 'p' inches longer, the length of one side is 'n + p'.  To find the area of the larger square, we have to take the length x length or (n +p)². 
Using FOIL (forward, outside, inside, last): 
(n + p)(n+p) = n² + 2np + p²
Since the area of the first triangle is n², we can subtract this amount from the area of the larger square to find out how many square inches greater the larger square area is. 
 n² + 2np + p² - n² = 2np + p²
 
        
             
        
        
        
Answer:
300•0.15•6
Step-by-step explanation:
 
        
             
        
        
        
Answer:
The correct answer is 25.2 in.
Step-by-step explanation:
It is given that number line goes from 0 to 60 which can be used to represent a ribbon of length = 60 inches.
2 inches of the ribbon are frayed so actual length = 58 inches
Please refer to the attached image for the ribbon.
A is at 0
C is at 60
B is at 2 
P is the point to divide the remaining ribbon in the ratio 2:3.
Part AB of the ribbon is frayed.
BP: PC = 2:3
Let BP = 2 and PC = 3
 and PC = 3
Now, BP + PC = BC = 58 = 2 + 3
 + 3 = 5
 = 5
So, 

BP = 
Location of the Cut = 2 + 23.2 = <em>25.2 inches</em>
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Alternatively, we can use the formula directly:


m: n is the ratio 2:3

 
        
                    
             
        
        
        
f(0) =  ( f(k) +f(-k) ) / 2 
f(0) = (16 - 4) / 2
f(0) = 12 / 2
f(0) = 6  → ANSWER
*Remember that f(0) = m(0) + n = n
If we have f(x) = mx + n, then:
f(k)= mk + n     and       f(-k)= -mk + n
If we add them:
   f(k) + f(-k)
 = mk + n -mk + n
= 2n 
= 2f(0)
So we conclude that:
f(0) =  [f(k) + f(-k)] / 2
 
        
             
        
        
        
Answer:
Step-by-step explanation:
5x+14