Answer:
answer is B 38-18
Step-by-step explanation:
38 + (-18) 
38-18
 
        
                    
             
        
        
        
Answer:
Step-by-step explanation:
Recall that we say that d | a if there exists an integer k for which a = dk. So, let d = gcd(a,b) and let x, y be integers. Let t = ax+by. 
We know that  so there exists integers k,m such that a = kd and b = md. Then,
 so there exists integers k,m such that a = kd and b = md. Then, 
 . Recall that since k,  x, m, y are integers, then (kx+my) is also an integer. This proves that d | t.
. Recall that since k,  x, m, y are integers, then (kx+my) is also an integer. This proves that d | t. 
 
        
             
        
        
        
The graph of g is one-fifth as steep as the graph of f.
The function g basically takes the inputs for f and multiplies them by one-fifth, which means the outputs are one-fifth times those of f. Multiplying by one-fifth makes something smaller (it's the same as dividing by five). It helps to visualize this relationship, so I've attache the graphs below.
 
        
        
        
Answer:
3.75 feet
Step-by-step explanation:
The length of the frame is 3 times the width.
Let the width be x.
The length will be 3x.
Kyle uses 10 feet of wood to make the frame. This means that the perimeter is 10 feet.
The perimeter of a rectangle is:
P = 2(L + W)
=> 10 = 2(3x + x)
=> 10/2 = 4x
5 = 4x
=> x = 5/4 = 1.25 feet
The width is 1.25 feet. The length is therefore:
1.25 * 3 = 3.75 feet