The diagonal of a square is equal to the side x times square root of 2, xSqrt(2)
z = xSqrt(2), its rate of change is just Sqrt(2)
        
             
        
        
        
Answer:
Bigger size   / smaller size = 40 
Step-by-step explanation:
Notice that we      
36 / (9/10)    =    30 / (3/4)   = 40 
Therefore the proportion model would be 
Bigger size   / smaller size = 40 
 
        
             
        
        
        
Answer:
x = 6
Explanation:
y = x - 4
26 = 4x + y
If y = y, then we can rewrite this system as this: 4x + x - 4 = 26
Then we combine like terms and add 4  on both sides to give us  5  x  =  30
. Divide by 5 on both sides and we arrive at the solution: x = 6
 
        
             
        
        
        
Answer:
A
Step-by-step explanation:
Given
2k² - k - 3
Consider the factors of the product of the k² term and the constant term which sum to give the coefficient of the k- term.
product = 2 × - 3 = - 6 and sum = - 1
The factors are + 2 and - 3
Use these factors to split the k- term
2k² + 2k - 3k - 3 ( factor the first/second and third/fourth terms )
= 2k(k + 1) - 3(k + 1) ← factor out (k + 1) from each term
= (2k - 3)(k + 1) → A