Express each of the following in a+bi form. a)(2 +5i)+(4 +3i)b)(−1+2i) − (4 − 3i)c)(5+3i)(3 +5i)d)(1 +i)(2 − 3i) +3i(1− i) − i
1 answer:
Answer:
a 6+ 8i
b -5 + 5i
c 34i
d 8 + i
Step-by-step explanation:
<h3>a)(2 +5i)+(4 +3i)</h3><em>Add them together </em>6 + 8i
<h3>b)(−1+2i) − (4 − 3i)</h3><em>Add them together </em>-5 + 5i
<h3>c)(5+3i)(3 +5i)</h3><em>Multiply it out</em> 15 + 25i + 9i + 15
<em>Add them together ( = the number times -1) </em> 34i
<em>Multiply it out</em> (2 - 3i + 2i - 3) + (3i - 3
) - i
<em>Add what is in the parenthesis together ( = the number times -1) </em>(5 - i) + (3 + 3i) - i
<em>Add them together </em>8 + i
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The number of possible groups or combination of three men can be formed from 10 is 120.
According to the given question.
Total number of men in a company, n = 10.
Number of men to be selected, r = 3
As we know that, What is a combination in math?
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A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Therefore, the number of possible groups or combination of three men can be formed from 10
=
= 10!/ 3!7!
= 10(9)(8)/3(2)
= 5 × 3 × 8
= 120
The number of possible groups or combination of three men can be formed from 10 is 120.
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