Answer:
The answer is (2x+3)(5x+2)
 
        
                    
             
        
        
        
For a you have to solve 2 solutions , first 2x=12
6=x then you plug that back in, 12+8y=12
8y=0
y=0
(6,0)
        
             
        
        
        
Answer:
3
Step-by-step explanation:
There is no x in the equation, so I will assume solving for m
Distribute: 
3m + 21 = 6m + 12
Subtract 3m and 12 
3m = 9
Divide by 3
m = 3
 
        
                    
             
        
        
        
Answer:
7.21
Step-by-step explanation:
use pythagoream theroem
 
        
             
        
        
        
Answer:
Therefore the variance on the data set is 8.3
Step-by-step explanation:
In order to find the variance of the set of data we first need to calculate the mean of the set, which is given by:
mean = sum of each element / number of elements
mean = (5 + 8 + 2 + 9 + 4)/5 = 5.6
We can now find the variance by applying the following formula:

So applying the data from the problem we have:
s² = [(5 - 5.6)² + (8 - 5.6)² + (2 - 5.6)² + (9 - 5.6)² + (4 - 5.6)²]/(5 - 1)
s² = [(-0.6)² + (2.4)² + (-3.6)² + (3.4)² + (-1.6)²]/4
s² = [0.36 + 5.76 + 12.96 + 11.56 + 2.56]/4 = 8.3
Therefore the variance on the data set is 8.3