Hello from MrBillDoesMath!
Answer:
x = 1/2 (1 +\- i sqrt(23))
Discussion:
x \3x - 2 =   (x/3)*x - 2   =  (x^2)/3 - 2     (*)
1 \3x - 4   =  (1/3)x - 4                               (**)
(*) = (**)   =>
(x^2)/3 -2 = (1/3)x - 4        => multiply both sides by 3
x^2 - 6 = x - 12                 => subtract x from both sides
x^2 -x -6 = -12                   => add 12 to both sides
x^2-x +6  = 0
Using the quadratic formula gives:
x = 1/2 (1 +\- i sqrt(23))
Thank you,
MrB
 
        
             
        
        
        
Answer: 20 weeks in 1 week
in 2 weeks 40
Step-by-step explanation:
This proves that the equation is true
 
        
             
        
        
        
Answer:
.9
Step-by-step explanation:
do 4.50 divided by 5 to get .9
 
        
                    
             
        
        
        
Since they are right triangles use Pythagorean Theorem.
a^2 + b^2 = c^2 where c is the hypotenuse.
a.  12^2 + b^2 = 13^2
144 + b^2 = 169
subtract 144 from both sides
b^2 = 25
take the square root of both sides
t = 5  This is also know as a Pythagorean Triple 5-12-13
b.  a^2 + 9^2 = 12^2
     a^2 + 81 = 144
subtract 81 from both sides
a^2 = 63
take the square root of both sides
a = √63
a = √(9 * 7)
a = 3√7
c.   6^2 + 9^2 = c^2
    36 + 81 = c^2
117 = c^2
take the square root of each side
c = √117
c = √(9*13)
x = 3√13