First, let 

 be a point in our parabola. Since we know that the focus of our parabola is  the point (0,8), we are going to use the distance formula to find the distance between the two points:

Next, we are going to find the distance between the directrix and the point in our parabola. Remember that the distance between a point (x,y) of a parabola and its directrix, 

, is: 

. Since our directrix is y=-8, the distance to our point will be:


Now, we are going to equate those two distances, and square them to get rid of the square root and the absolute value:



Finally, we can expand and solve for 

:




We can conclude that t<span>he standard form of the equation of the parabola with a focus at (0, 8) and a directrix at y = -8 is </span>
 
 
        
        
        
Step-by-step explanation:
the total cost is, of course, first the cost to buy the copier, and then the running costs per copy made.
it is really that easy.
the equations just put this into mathematical form :
A
y = 0.02×x + 800
B
y = 0.06×x + 600
please notice, we put $600 or $800 in as constant term, because these costs are the starting costs that we have, even if we never make a single copy (x = 0).
and then the total cost goes up with every copy we make.
I cannot draw here.
so, to find the number of copies where both copier systems would cost the same, means we have to say both equating deliver the same result :
0.02×x + 800 = 0.06×x + 600
200 = 0.04×x
x = 200 / 0.04 = 5000
when making 5000 copies both costs are the same. 
 
        
             
        
        
        
Step-by-step explanation:
Correct option is C)
41− 
21+ 
19− 
9
 
 
 
 
= 
41− 
21+ 
19−3
 
 
 
= 
41− 
21+ 
16
 
 
 
= 
41− 
21+4
 
 
= 
41− 
25
 
 
= 
41−5
 = 
36
 =6
 
        
                    
             
        
        
        
Answer:
whatttt!!!!!!!!!!
Step-by-step explanation:
 
        
             
        
        
        
Answer:
Exact form:
x= 16/3
Decimal form:
x=5.3
Mixed form:
x= 5 1/3
Step-by-step explanation:
Move all terms that don't contain x to the right side and solve.