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Vladimir [108]
3 years ago
5

Write (1/3i)-(-6+2/3i) as a complex number in standard form

Mathematics
1 answer:
Eddi Din [679]3 years ago
7 0

Answer:

6+\frac{i}{3}

Step-by-step explanation:

\frac{1}{3\imath}-(-6+\frac{2}{3\imath})

\frac{1}{3\imath}+6-\frac{2}{3\imath}

taking like terms together

\frac{1}{3\imath}-\frac{2}{3\imath}+6

taking LCM

\frac{1-2}{3\imath}+6

\frac{-1}{3\imath}+6

taking LCM

\frac{-1+18\imath}{3\imath}

splitting the term

\frac{-1+18\imath}{3\imath}

splitting the term

-\frac{1}{3\imath}+\frac{18\imath}{3\imath}

-\frac{1\times3\imath}{3\imath \times \imath}+6

-\frac{i}{3\imath^2}+6

we know that

\imath^2=-1

putting this value in above equation

\frac{\imath}{3}+6

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Base conversion. Perform the following conversion <br><br> 675_10= ?___6
Delvig [45]

Answer:

3043 (base 6)

Step-by-step explanation:

<u>216      36    6    1</u>

3           0      4  3

216* 3 = 648

6*4 = 24

1*3 = 3

648+24+3 = 675

4 0
2 years ago
Simplify.
liraira [26]
2x + 7y + 3x - 4y

Collect all the like terms:

2x + 3x = 5x

7y - 4y = 3y

And you end up with 5x + 3y as your final answer :)

8 0
2 years ago
Read 2 more answers
RS bisects QRT, mangleQRS = (3x + 8), and mangleSRT = (5x − 4).
Leya [2.2K]

Bisect typically means half but since we aren't given angle at the start so we can just have to solve for x.

(3x + 8) = (5x - 4)

3x = 5x - 12

-2x = -12

x = 6

Best of Luck!

5 0
3 years ago
Chad and Victoria are playing a game with a quarter and a spinner divided into sixths numbered one through six each player spins
rodikova [14]
The simple way to do this is to multiply the number of outcomes of one object times the number of outcomes in the other object. In this case a quarter has 2 sides, heads and tails. Since the spinner has 6 sections, there are 6 outcomes.


With this we can do, 2x6=12.

Therefore there are 12 outcomes
8 0
2 years ago
Liam rode his bike to the store every day. It took him 45 minutes to get to school and 45 minutes to get home. If he rode for 3
Elza [17]

Answer:

1,890 minuts

Step-by-step explanation:

3 weeks = 7 days x 3 = 21 days

He rides his bike for "45 minutes to get to school and 45 minutes to get home" which is 90 minutes per day.

Therefore, in total, he rode for 21 days x 90 minutes per day = 1,890 minutes

5 0
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