Answer:

Step-by-step explanation:
1) 
Rearrange the expression.
2) 
Solve.
3) 
Answer:
-32/9
Step-by-step explanation:
4/9=w+4
4/9-4/1=w
4-36/9=w
w=-32/9 or w=-3.56
Answer:
Midpoint of a segment in the complex plane with endpoints at 6 -2i and -4 + 6i is:
1+2i
Step-by-step explanation:
The midpoint of a segment in the complex plane with endpoints at 6 -2i and -4 + 6i is:

Hence, midpoint of a segment in the complex plane with endpoints at 6 -2i and -4 + 6i is:
1+2i
We have
<span>y=cos x/(x</span>²+x+2) <span>on the closed interval [-1, 3]
</span><span>
we know that
</span>The average value of f(x) on the interval [a, b] is given by:
<span>F(avg) = 1/(b - a) ∫ f(x) dx (from x=a to b).
(b-a)=(3+1)------> 4
</span>= 1/4 ∫ cos(x)/(x² + x + 2) dx (from x=-1 to 3).
Note that [cos(x)/(x² + x + 2)] does not have an elementary anti-derivative.
By approximating techniques:
1/4 ∫ cos(x)/(x^2 + x + 2) dx (from x=-1 to 3) ≈ 0.182951
the answer is
<span>the average value of y = cos(x)/(x</span>²<span> + x + 2) on [-1, 3] is approximately 0.182951</span>
About 1.6 miles.
You divide the 4 by 30 to get the distance per minute and multiply it by 12.