Answer:
18
Step-by-step explanation:
The formula X/6 - 11 = -8
Add 11 to both sides of the equation X/6 = 3
Multiply by 6 both sides to cancel out the division 
X = 18
 
        
             
        
        
        
The quadratic equation in its generic form is:
 ax2 + bx + c
 To complete squares we must add the following term:
 (b / 2) ^ 2
 The equation is:
 ax2 + bx + c + (b / 2) ^ 2
 We have the following equation:
 x ^ 2 - 5x + k = 7
 By completing squares we have:
 x ^ 2 - 5x + (-5/2) ^ 2 = 7 + (-5/2) ^ 2
 Rewriting:
 x ^ 2 - 5x + 6.25 = 7 + 6.25
 Answer:
 A constant term should be used to complete the square is:
 6.25
        
             
        
        
        
The equation of a line starting from two points is:

From the first point you get: x1 = -1, y1 = -2
From the second point you get: x2 = 3, y2 = 10
Replace x1, y1, x2, y2 in the equation of the line and you get:



From this you get the equation of your line:
 
 
        
        
        
Answer:
16
Step-by-step explanation:
Dealing with a fraction exponent on hand can be converted by using the fractional exponents rule where the fraction exponent is converted to something like this: 
![64^\frac{2}{3} = \sqrt[3]{64^{2}}\\](https://tex.z-dn.net/?f=64%5E%5Cfrac%7B2%7D%7B3%7D%20%3D%20%5Csqrt%5B3%5D%7B64%5E%7B2%7D%7D%5C%5C)
As you can see, the denominator of the fractional exponent is now the index of the radical. Here is a guide to know what goes where.
![64^\frac{x}{y} = \sqrt[y]{64^{x}}](https://tex.z-dn.net/?f=64%5E%5Cfrac%7Bx%7D%7By%7D%20%3D%20%5Csqrt%5By%5D%7B64%5E%7Bx%7D%7D)
Both the original problem (64^2/3) and the converted formula can be put into a calculator.
<u>Simplify (if you want to)</u>
<u />![\sqrt[3]{64^{2}}\\\sqrt[3]{4096}\\16](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B64%5E%7B2%7D%7D%5C%5C%5Csqrt%5B3%5D%7B4096%7D%5C%5C16) <u />
<u />
<u />
64 to the power of 2/3 is 16.
 
        
             
        
        
        
Answer:
B  
Step-by-step explanation:
In order to get the same denominator, we need to multiply the second fraction by (b+2) in the numerator and denominator. 
We will end up in something like this :
I just timed the second fraction by b+ 2 and then i added them together.
Therefore, we will get 
now factoring the numerator we will end like this 

we will then end up with the answer. 
Hope this helps.