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Zarrin [17]
3 years ago
14

When 3+4i2+i is expressed in the form a+bi, what is the value of a?

Mathematics
1 answer:
mart [117]3 years ago
7 0
Multiplying and dividing with conjugate of 2+i in the given expression, we get(3+ 4i)(2-i)/(2+i)(2-i)=(6-3i+8i-4i^2)/(4-i^2)=(10+5i)/(4+1)=(10+5i)/5=2+i=a+bi<span>Thus a=2</span>
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5) Allison plays a card game. She picks a card at random. Then without putting
SashulF [63]

Answer:

1/51

Step-by-step explanation:

3 0
3 years ago
Rasheed bought two kinds of candy bars, chocolate and toffee, that came in packages of 2 bars each. He handed out 2/3 of the cho
Contact [7]

Answer:

9 packages of chocolate bars

Step-by-step explanation:

Let he bought c packages of chocolate bars and t packages of toffee bars,

Since, he bought 1 fewer package of chocolate bars than toffee bars.

⇒ c = t - 1  -----(1)

Also, he handed out out \frac{2}{3} of the chocolate bars and \frac{3}{5} of the toffee bars,

If he handed out the same number of each kind of candy bar.

\implies \frac{2}{3}\times c=\frac{3}{5}\times t

10c = 9t     ( By cross multiplication )

\implies t=\frac{10}{9}c    ( Division property of equality )

From equation (1),

c=\frac{10}{9}c-1

1=\frac{10}{9}c-c

1=\frac{10c-9c}{9}

1=\frac{c}{9}

\implies c = 9

Hence, he bought 9 packages of chocolate bars.

4 0
3 years ago
21 = m + 9 m = 11 is it a solution
Zarrin [17]
No because 21=(11)+9
21 can’t equal to 20
7 0
3 years ago
Two brothers have a total age of 28 if one brother is older by 20 years how old is the second brother
svlad2 [7]

Answer:

8

Step-by-step explanation:

Total meaning addition, you would use the opposite operation to find the answer.  

28 - 20 = 8

And to check your work you would add;

20 + 8 = 28

which is the brothers total combined age.  

6 0
3 years ago
Read 2 more answers
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C.) 4(2x-6) and 8x-24
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3 years ago
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