Hey there!
Let's look at this one answer at a time. 
2(5 - 3) = 10 - 6 would classify as the distributive property because 2 times 5 is 10 and 2 times negative 3 equals negative 6. 
-7 + (19 + 5) = (-7 + 19) + 5 would classify as an example of the associative property of equality because both sides of the equation simplify to equal the same number, 17.
11 + (6 + 8) = 11 + (28 + 6) is not a property of equality because it simplifies out to be 25 = 45 which is not true. 25 can never be equal to 45. It's no solution.
1/3 * 3 = 1 would be a great example of the inverse property of multiplication because one third is the reciprocal of three. In other words the equation could look like this:  1/3 * 3/1 = 3/3 = 1
Hope that helps! Thanks for using Brainly!
        
                    
             
        
        
        
Answer:

Step-by-step explanation:
Given


![Interval: [1,8]](https://tex.z-dn.net/?f=Interval%3A%20%5B1%2C8%5D)

Required
Find c using Intermediate Value theorem
First, check if the value of M is within the given range:







M is within range.
Solving further:
We have:


Substitute 21 for f(x) in 

Express as quadratic function


Expand



 or
 or 
 or
 or 
The value of  is outside the
 is outside the ![Interval: [1,8]](https://tex.z-dn.net/?f=Interval%3A%20%5B1%2C8%5D)
So:

 

By comparison:

 
        
             
        
        
        
Answer:
10/7 is a simple fraction, and √2 cannot be written as a simple fraction. So, they are not the same. 
Step-by-step explanation:
10/7 is a number that has a numerator and a denominator. 
Suppose √2 = 10/7, then √2 can also be written as a number that has a numerator and a denominator. 
Since this is not the case, 10/7 cannot be the same as √2.
 
        
             
        
        
        
Answer:
a. 
b. 
Step-by-step explanation:
Given




Solving (a): Odds against winning
Since, the arrow must stop at black, then 
The odds against winning is calculated as thus:



Solving (b): Odds in favor of winning
Since, the arrow must stop at black, then 
The odds is calculated as thus:


