Answer:

Step-by-step explanation:
The given function is 

To find k(-5), we put x=-5 into the given function to get;

Multiply out to obtain;

This is the same as;

This simplifies to

 
        
             
        
        
        
Answer:
<h3>9.43</h3>
Step-by-step explanation:
The formula for calculating the distance between two points is expressed as 
D =√(x2-x1)²+(y2-y1)²
Given the coordinates (0,0) and (8,5)
D = √(5-0)²+(8-0)²
D = √5²+8²
D = √25 + 64
D = √89
<em>D = 9.43</em>
<em>Hence the distance between the life guard and the swimmer is 9.43</em>
<em></em>
 
        
             
        
        
        
Acc. to midpoint theorem,
15={(2x+9) + (4x-15)}/2
⇒ 30=2x+9+4x-15
⇒ 30-9+15=6x
⇒ 36/6=x
⇒6=x
WZ= 4x-15
 =4*6-15
 =24-15=9
 
        
        
        
Answer:

Step-by-step explanation:
So we have the system: 

If we isolate the x-variable in the first equation: 

Subtract 2y from both sides: 

Divide both sides by -1: 

Therefore, we would substitute the above into the second equation: 

The answer is 2y+6
Further notes: 
To solve for the system, distribute: 

Simplify: 

Subtract: 

Divide: 

Now, substitute this value back into the isolated equation:

 
        
                    
             
        
        
        
Answer: $1.33
Step-by-step explanation:
4 divided by 3