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Effectus [21]
2 years ago
11

2+6i/2-4i = a + bi What is the value of a? What is the value of b?

Mathematics
1 answer:
Talja [164]2 years ago
6 0

\dfrac{2+6i}{2-4i}\\\\\\=\dfrac{2(1+3i)}{2(1-2i)}\\\\\\=\dfrac{1+3i}{1-2i}\\\\\\=\dfrac{(1+3i)(1+2i)}{(1-2i)(1+2i)}\\\\\\=\dfrac{1+2i+3i+6i^2}{1-(2i)^2}\\\\\\=\dfrac{1+5i-6}{1+4}~~~~;[i^2=-1]\\\\\\=\dfrac{5i-5}{5}\\\\\\=\dfrac{5(i-1)}5\\\\=i-1\\\\=-1+i\\\\\text{It is in a form of a +bi so,}~ a = -1~ \text{and}~ b = 1

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It takes 15 minutes to solve 2 problems. How many minutes does it take to solve 6 problems?
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8 0
3 years ago
Sam buys
mariarad [96]

Answer:

no

Step-by-step explanation:

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3 0
2 years ago
Joan drew a rectangle that is 4 centimeters by 10 centimeters. It has an area of 40 square centimeters and a perimeter of 28 cen
matrenka [14]
Hello!

First you find what numbers give you the same perimeter

9 + 9 + 6 + 6 = 30

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6 + 6 + 8 + 8 = 28

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Hope this helps!
7 0
3 years ago
1/2+1/5 using standard algorithm
scZoUnD [109]
1/2=5/10
1/5=2/10
1/2+1/5
=5/10+2/10
=7/10
So your answer is 7/10
8 0
3 years ago
Read 2 more answers
You get 15 points for this question :) can you please explain step by step or do it in the 2 step equation format please? Thank
miss Akunina [59]

Answer:

t=3

Step-by-step explanation:

6t= 36+7-25

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7 0
3 years ago
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