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Novay_Z [31]
3 years ago
13

Simplify (10 + 3i)(5 − 2i).

Mathematics
2 answers:
Romashka [77]3 years ago
6 0
The answer I think is D but use the app photo math very useful:)
kirza4 [7]3 years ago
6 0

Answer:  The correct option is

(C) 56-5i.

Step-by-step explanation:  We are given to simplify the following product of complex numbers :

P=(10+3i)(5-2i)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

To simplify the given product, we must multiply each term of the first factor each term of the second factor and will be using the following vale of i :

i=\sqrt{-1}~~~~\Rightarrow i^2=-1.

From (i), we get

P\\\\=(10+3i)(5-2i)\\\\=10(5-2i)+3i(5-2i)\\\\=50-20i+15i-6i^2\\\\=50-5i-6(-1)\\\\=50-5i+6\\\\=56-5i.

Thus, the required simplified form is 56-5i.

Option (C) is CORRECT.

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Step-by-step explanation:

5 0
3 years ago
Need help with number 4 plz
katrin [286]

Remark

The first thing you should do is get a graph for this, so you can actually see what is going on. Then solve for slope y intercept. I put the graph into Desmos without a solution expression for y.

Graph Solution

The graph 3x - y + 1  = 0 shows you were the y intercept is. You can use this graph to draw your own along with a table.

Find slope y intercept form

3x - y + 1 = 0             Add y to both sides.

3x - y + y + 1 = y

y = 3x + 1

Answer

m is always the number in front of x when written in the slope intercept form.


8 0
3 years ago
(03.01)
Troyanec [42]
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Step-by-step explanation:

To find the missing angle you will have to use the angles that are provided for you so if there is a square in any of the corners that automatically equals 90 degrees, once you add that with the other number degrees just subtract their sum from 180 degrees. BUT if that is not the case and i only gives you on angle that you will just need to use critical thinking to see what is left in the equation and see how it plays out with the angle given and the other angle that you need to find to see if it gives you 180 degrees.

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