Answer:
2 sqrt(3) -2i
Step-by-step explanation:
If we have the magnitude and the theta
z = |z| cos theta + i |z| sin theta
= 4 cos 330 + i 4 sin 330
=4 (sqrt(3)/2) + 4i (-1/2)
= 2 sqrt(3) -2i
Answer:
-2
Step-by-step explanation:
The slope of a line is given by
m = (y2-y1)/(x2-x1)
= (-3 -5)/(2- -2)
= -8/(2+2)
-8/4
-2
Answer:
and 
Step-by-step explanation:
we have

we know that
Compound inequality can be divided into two inequalities
so

rewrite

and

therefore
An equivalent form of the compound inequality is
and 
a < -9
Rearrange:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
5*a+18-(-27)<0
Step by step solution :
Step 1 :
Pulling out like terms :
1.1 Pull out like factors :
5a + 45 = 5 • (a + 9)
Equation at the end of step 1 :
Step 2 :
2.1 Divide both sides by 5
Solve Basic Inequality :
2.2 Subtract 9 from both sides
a < -9