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likoan [24]
2 years ago
9

Evaluate (6 +2i) / (3-i).

Mathematics
2 answers:
Anuta_ua [19.1K]2 years ago
4 0

Answer:

(6 +2i) / (3-i) = (6+2i)/(3-i) x (3+i)/(3+i) = (6+2i)(3+i) / (3-i)(3+i) = 6(3+i)+2i(3+i) / (3)^2-(i)^2 = 18+6i+6i+2i^2 / 9-i^2 = 18+12i+2i^2 / 9-i^2 = 6+12i+2i^2 / 3-i^2 = 2+12i+2i^2 / 1-i^2 = 2+12i+2 / 1 = 4+12ianswer.

qwelly [4]2 years ago
3 0

Answer:

2(4 + 3i) / 5

Step-by-step explanation:

(6 + 2i) (3 + i) / (3 - i) (3 + i)

=> 18 + 12i + 2i² / 9 - i²

=> 16 + 12i / 10

=> 8 + 6i / 5

=> 2(4 + 3i) / 5

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Answer:

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Step-by-step explanation:

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Leya [2.2K]
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2 years ago
30 points please..I will report your answer if not right Thanks​
ella [17]
<h3>Answer:  SAS</h3>

=================================

How to get this answer:

We're told that AD = BC, so that is one pair of sides that are congruent. This forms the first "S" in "SAS"

The "A" refers to the congruent angles, which happen to be angle DAB and angle CBA, both are 90 degrees

The second "S" in "SAS" is the second pair of congruent sides. Those two sides are the overlapping shared side of AB. It might help to peel the two triangles apart to get a better look.

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4 0
3 years ago
Which simplifications of the powers of i are correct? There may be more than one correct answer.
fredd [130]

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\bf i^{21}\implies i^{(4\cdot 5)+1}\implies (i^4)^5 i\implies 1^5(i)\implies i~\dotfill \checkmark \\\\\\ i^{12}\implies i^{3\cdot 4}\implies i^3 i^4\implies (-i)(1)\implies -i\dotfill \bigotimes \\\\\\ i^{20}\implies i^{4\cdot 5}\implies (i^4)^5\implies 1~\dotfill \checkmark \\\\\\ i^{26}\implies i^{(4\cdot 6)+2}\implies (i^4)^6 i^2\implies 1^6(-1)\implies -1\dotfill \checkmark \\\\\\ i^{27}\implies i^{(4\cdot 6)+3}\implies (i^4)^6 i^3 \implies 1^6(-i)\implies -i\dotfill \bigotimes

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densk [106]

Answer:

I would answer but I cannot see it sorry :D

Step-by-step explanation:

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