Answer:
x1 =2-5i*sqrt(2)
x2 =2+5i*sqrt(2)
Step-by-step explanation:
-x^2 +4x-54=0 (quadratic equation) 
a=-1, b=4, c=-54
x1=(-b+sqrt(b^2-4ac))/2a
x1=(-4+sqrt(4^2 - 4*(-1)(-54))/2*(-1)
x1=(-4+sqrt(16-216))/(-2)
x1 =(-4+sqrt(-200))/(-2)
x1 =(-4+sqrt(200i^2))/(-2) i^2=-1
x1 =(-4+sqrt(100*2*i^2))/(-2)
x1 =(-4+10i*sqrt(2))/(-2)
x1 =2-5i*sqrt(2)
x2 =(-b-sqrt(b^2-4ac))/2a
x2 =(-4-10i*sqrt(2))/(-2)
x2 =2+5i*sqrt(2)
 
        
                    
             
        
        
        
694.407 and there is a cap over the three numbers at the very end
        
                    
             
        
        
        
Answer:
C. 73 if I have read the given angle measurements correctly.
The angle measurements I see are:


 .
.
Step-by-step explanation:
Those angles together form a full rotation. A full rotation is equal to 360 degrees.
So we have the following equation to solve:

Combine like terms:

Simplify:


Divide both sides be 2:

Subtract 107 on both sides:


 
        
                    
             
        
        
        
Answer:
Option E.
Step-by-step explanation:
Let the intended length of Rebecca's swimming is = x units
and we assume the length of the pool = l units
Now it is given in the question that " She covers one fifth of her intended distance "
That means distance covered = 
" After swimming six more lengths of the pool she had covered one quarter of her intended distance"
So 


x = 20×(6l) 
x = 120l
Therefore, Rebecca has to complete 120 lengths of the pool.
Option E is the answer.