Answer:

Step-by-step explanation:
1) Use Division Distributive Property: (x/y)^a = x^a/y^a.

2) Multiply both sides by 27^x - 8.

3) Use the product rule: x^a x^b = x^a+b.

4) Simplify 1 + x - 8 to x - 7.

5) Use Definition of Common Logarithm: b^a = x if and only if log<u>b</u><u> </u>(x) = a.

6) Use Change of Base Rule.

7) Use rule of 1: log 1 = 0.

8) Simplify 0/log_27 to 0.

9) Add 7 to both sides.

10) Switch sides.

<u>Therefor</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>7</u><u>.</u>
 
        
             
        
        
        
The equation of a line in the slope intercept form is expressed as
y = mx + c
where
m represents slope
c represents y intercept
The given equation is
12x + 2y = 6
we would make this equation to look like the slope intercept equation. 
12x + 2y = 6
If we subtract 12x from both sides of the equation, it becomes
12x - 12x + 2y = 6 - 12x
2y = 6 - 12x
2y = - 12x + 6
Dividing both sides of the equation by 2, it becomes
y = - 6x + 3
Thus, by comparing with the slope intercept equation, 
slope = - 6
y intercept = 3
 
        
             
        
        
        
9514 1404 393
Answer:
   focus: (0, -5.5)
   directrix: y = 5.5
Step-by-step explanation:
The equation compares to the form ...
   x² = 4py
where 4p = -22   ⇒   p = -22/4 = -5.5.
The value of p is the distance from the vertex to the focus. The negative value means the focus is below the vertex at (0, -5.5).
The directrix is above the vertex by the same amount, so is y = 5.5.
 
        
             
        
        
        
collect the like terms:
Solution: x^2-5xy+4y
P.S
get the photo math app. :)
Hope that helps. 
 
        
             
        
        
        
Answer:
Step-by-step explanation:
$19.50
-$15.50=
$4.00
1slice of pizza and 1soda is $4
so 2slices of pizza and 2 sodas is $8
$15.50-$8=$7.50
Now you have 3 slices of pizza left
$7.50/3slices=$2.50
1slice of pizza is $2.50