In the expression, the real number a equals 12 and the real number b equals -16.
<h3>How to explain the information?</h3>
It should be noted that the expression given is:
= (4 - 2i)²
Therefore, we need to expand the expression. This will be:
= (4 - 2i)(4 - 2i)
= 16 -8i -8i + 4i²
= 16 -16i +4i²
Substitute -1 for i²
= 16 - 16i + 4(-1)
= 16 - 16i - 4
= 12 - 16i
Therefore, the value of the expression is 12 - 16i.
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Evaluate the expression ( 4 − 2 i )² and write the result in the form a + b i.
Answer:
15 kilometers
Step-by-step explanation:
So we know:
For 4 days she runs 1500 meters each day.
For 3 days she runs 3 kilometers each day.
First off, lets convert 1500 meters into kilometers.
There are 1000 meters in a kilometer, so pluggin in 1500 meters:
1500/1000 = 1.5
So for 4 days she runs 1.5 kilometers each day.
Now, to find the total kilometers, we must find multiply the 1.5 kilometers by the 4 days, the 3 kilometers by the 3 days, then add those two together.
So lets do this:
1.5*4 = 6
So she ran 6 kilometers in the first 4 days.
Next we have:
3*3 = 9
So she ran 9 kilometers in the last 3 days.
Now finally add them together:
6 + 9 = 15
So she ran a total of 15 kilometers.
Hope this helps!
There are web sites and videos that stand ready to show you how to bisect an angle.
The basic idea is that you draw an arc through both rays so that the points of intersection are the same distance from the vertex. Then, you construct a perpendicular bisector of the segment between those intersection points. That will bisect the angle.
For (3), you bisect each of the angles made by the original bisector. (1/2 of 1/2 = 1/4)
Answer:
a = 10.36m
B = 47.7º
C = 90º
Step-by-step explanation:
we know the angle of A so we do the sin of A; Spoiler: its 0.67
0.67 = a / 15.4
0.67 * 15.4 = a
a = 10.36
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B = 90 - 42.3 = 47.7º
Answer:
5
Step-by-step explanation:
You <em>multiply</em> the number of people by the number of each slices each person gets. Which is 100; 50x2.
Each cake has 20 slices so you <em>divide</em> 100 by 20. Which equals 5.
It would take 5 cakes to feed all 50 people 2 slices each.
<em>Hope this helps</em>. :)
