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astra-53 [7]
3 years ago
6

3+5i/-2+3i perform operation

Mathematics
1 answer:
melisa1 [442]3 years ago
4 0

Answer:

\dfrac{9}{13}-\dfrac{19}{13}i

Step-by-step explanation:

Remember i^2=-1

You are given the fraction \dfrac{3+5i}{-2+3i}

First, multiply the numerator and the denominator by -2-3i:

\dfrac{3+5i}{-2+3i}=\dfrac{(3+5i)(-2-3i)}{(-2+3i)(-2-3i)}=\dfrac{(3+5i)(-2-3i)}{(-2)^2-(3i)^2}=\dfrac{(3+5i)(-2-3i)}{4-9i^2}=\dfrac{(3+5i)(-2-3i)}{4+9}

This gives you 13 in denominator, now multiply two complex numbers in numerator:

(3+5i)(-2-3i)=-6-9i-10i-15i^2=-6-19i+15=9-19i

Thus, the initial fraction is

\dfrac{9-19i}{13}=\dfrac{9}{13}-\dfrac{19}{13}i

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What statement is true? 1) 5 is a whole and not a integer. 2) 5 is a integer and not a whole. 3) 5 isn't a integer or whole 4) 5
Lorico [155]

Answer:

4

Step-by-step explanation:

5 is  an integer as well as a whole number. A whole number is one which has no fraction with it. And clearly, 5 is a positive integer. Hence, option 4 is correct that is  5 is a integer and a whole

7 0
4 years ago
Two containers designed to hold water are side by side, both in the shape of a
Arisa [49]

Answer:1564cm cube

Step-by-step explanation: v=\pir2h

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3 0
3 years ago
Read 2 more answers
Radical 8 plus radical 18
maxonik [38]

Answer:

5√2

Step-by-step explanation:

√8 + √18

We first have to find what is the largest perfect square that goes into √8:

4 is the largest, so therefore → √8 gives you 2√2:

Work: √4 * √2 → 2 * √2 → 2√2

Now we have to find what is the largest perfect square that goes into √18:

9 is the largest, so therefore → √18 gives you 3√2:

Work: √9 * √2 → 3 * √2 → 3√2

Because 2√2 and 3√2 have the same "base" of √2, they can be added together:

2√2 + 3√2 = 5√2 (The "bases" are to be left alone!)

7 0
3 years ago
When the sum of twice a number and 4 is tripled the result is 72?
mafiozo [28]
The unknown value can be called x.
3(2x +4) = 72
6x +12 = 72
72 - 12 = 6x
6x = 60
x = 6x / 6 
x = 10

Hope This Helps You!
<span>Good Luck Studying :)</span>
7 0
3 years ago
34. Which is the rule for the linear<br> function graphed below?
Ivahew [28]

Answer:

We can note that this part of the graph is a linear function. This means that is has a general form: y = mx + c where m is the slop and c is the y-intercept (value of y at x=0). For the slope, we will use the points (0,2) and (3,5) to calculate it as follows: m = (y2-y1)/(x2-x1) = (5-2)/(3-0) = 1 For the y-intercept, we can note that at x=0, the value of y is 2. This means that the equation of the first part of the graph is: y = x + 2

Read more at Answer.Ya.Guru – https://answer.ya.guru/questions/703068-which-rules-define-the-function-graphed-below.html

8 0
3 years ago
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