Answer:
A u B = {3,5,6,7,8,11,12}
Step-by-step explanation:
A = {3,6,7,11}
B = {3,5,7,8,12}
A u B = {3,5,6,7,8,11,12}
 
        
             
        
        
        
Similarities: They both are polynomials of degree 2, both of their graphs is a parabola, both have either 2 or 0 real solutions, they are both continuous functions over R 
<span>(DOS= difference of two squares, PST=perfect square trinomial </span>
<span>Differences: PST has three terms, whereas the difference of squares has 2. PST's factors are both the same, whereas DOS's elements are conjugates of each other. DOS can always be factored into two distinct polynomials with rational coefficients, whereas PST has two same polynomial factors.</span>
        
             
        
        
        
We know that
Applying the Pythagoras Theorem
c=²=a²+b²
where c is the diagonal of the wall
a=12 ft
b=6 ft
c²=12²+6²-----> c²=144+36-----< c²=180-----> c=√180------> c=6√5 ft
the answer is
<span>the exact length of the brace is 6</span>√5 ft
        
             
        
        
        
Answer:
derivative of the vector function given = ( -16-22t, 14-36t, -2-16t )
Step-by-step explanation:
given data:
vector function : r(t) = ta*(b+tc) 
a = ( 2,-3.4) .   b = (-4,5,-1).  c = ( -2,-1,5) 
to find the derivative of the vector function we will differentiate with respect to x attached below is the detailed solution