Answer:

Step-by-step explanation:
arithmetic sequence formula:  
where 
 is the first term and 
 is the common difference
Given:
   
 
⇒ 
⇒ 
Given:
     
⇒ 
⇒ 
Rearrange the first equation to make 
 the subject:
a = 32 - 9d
Now substitute into the second equation and solve for 
     (32 - 9d) + 11d = 106
⇒ 32 + 2d = 106
⇒ 2d = 106 - 32 = 74
⇒ d = 74 ÷ 2 = 37
Substitute found value of 
 into the first equation and solve for 
:
a + (9 x 37) = 32
a + 333 = 32
a = 32 - 333 = -301
Therefore, the equation is: 
 
        
             
        
        
        
The three consecutive integers are: x, (x+1) and (x+2).
We can suggest this equation:
x+(x+1)+(x+2)=126
3x+3=126
3x=126-3
3x=123
x=123/3
x=41
x=41
(x+1)=41+1=42
(x+2)=41+2=43
Answer: the three consecutive integers would be: 41,42 and 43. 
        
             
        
        
        
Answer:
6 km
Step-by-step explanation:
Start by finding the circumference of the circle
C = 2πr 
C = 1.256
Multiply by 3
3.768
Convert to km
3.768 * 1.6 = 6.0288
Round to nearest whole km
6
Sorry if this is late!
 
        
                    
             
        
        
        
Answer:
Absolute value means how far are you from zero on the number line.
absolute value of | -18| for example is 18  
this means that you are at -18 on the number line that is 18 points away from zero.
and absolute value of |18 | is 18 
this means that you are at point 18 on the positive direction on the number line. That is 18 points away from zero.
Step-by-step explanation:
 
        
             
        
        
        
In expanded form, the answer would look like this:
100,000 + 10,000 + 4,000 + 6