Rewrite the expression as

Factor 2a from the first two terms and 3b from the last two:

Factor a-2b

 
        
             
        
        
        
The rule for a 270° counterclockwise rotation is (x, y) ---> (y, -x).
So if you rotated (-5,5) 270° counterclockwise around the origin the new coordinates would be (-5,-5).
Hope this Helps!!
 
        
                    
             
        
        
        
Given that the roots of the equation x^2-6x+c=0 are 3+8i and 3-8i, the value of c can be obtained as follows;
taking x=3+8i and substituting it in our equation we get:
(3+8i)^2-6(3+8i)+c=0
-55+48i-18-48i+c=0
collecting the like terms we get:
-55-18+48i-48i+c=0
-73+c=0
c=73
the answer is c=73
        
             
        
        
        
Answer:
Opt. 1 -3 ≤ x ≤ 3
Step-by-step explanation:
Inequalities are regions, the attached picture shows us a region located between -3 and 3, the dots used are solid, this means that the value '3' is include in the region.
Hence the variable is narrowed to -3 and 3.
 
        
             
        
        
        
Using the Pythagorean Theorem, we can tell that there is 10 units between the two points.