Answer:
-8i
Step-by-step explanation:
To multiply numbers is polar form
z1 = r1 ( cos theta 1 + i sin theta 1)
z2 = r2 ( cos theta 2 + i sin theta 2)
z1*z2 = r1*r2 (cos (theta1+theta2) + i sin (theta1+theta2)
z1 = 2(cos 70° + i sin 70°)
z2 = 4(cos 200+ i sin 200)
z1z2 = 2*4 (cos (70+200) + i sin (70+200)
z1z2 = 8 (cos(270) + i sin (270))
= 8 (0 + i (-1))
=-8i
Since the graph is a straight line, we know that this equation follows some sort of y = mx + b format.
Let's take the points that are on the axes (-4,0) and (0,-3)
use them to find the slope = (0 - (-3))/(-4 - 0) = 3/(-4) = -3/4
this is our m in the general equations above
we now have y = (-3/4)x + b
b is the y-intercept which is where x = 0 we already have that point in (0,-3)
plug the -3 in for b to give as a final answer:
y = (-3/4)x - 3
Answer:
3:5 <em>the colon is needed to represent the ratio</em>
Step-by-step explanation:
r = 10
g = 4
y = 30 - 14 = 6
y = 6
so ratio of total balls is 10:4:6
and ratio of y:r is
6:10
simply by dividing by 2
3:5
Answer:
Option D is correct
Step-by-step explanation:
Using the given diagram, we want to know the equation that is true
Option A is wrong as both are on a straight line and in fact should add up to equal 180 and not be equal to each other
Option B is not correct as both are supplementary and does not equal each other
Option C is not correct, both are corresponding to each other and should not add up to 90
Option D is correct
Both angles are supplementary as they are exterior angles that add up to 180
50 (1/3) mph
47 (1/2) = 47.5 mph
47.5 / 50 (1/3) =
<span>
<span>
<span>
0.943708609271523
</span>
</span>
</span>
hours
times 60 =
<span>
<span>
<span>
56.6225165563
</span>
</span>
</span>
minutes =
56 minutes <span><span><span>37.3509933775
</span>
seconds
</span></span>
