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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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An estate of $686,000 is left to three siblings. The eldest receives 2 times as much as the youngest. The middle sibling receive
gregori [183]

Answer:

The oldest gets -> $335,500

The middle gets -> $182,750

The youngest gets -> $167,750

Step-by-step explanation:

<u>Step 1:  Make an equation</u>

<em>686,000 = 2y + (15,000 + y) + y</em>

<u>Step 2:  Solve for y</u>

686,000 - 15,000 = 2y + 15,000 + y + y - 15,000

671000 / 4 = 4y / 4

<em>167,750 = y</em>

<u>Step 3:  Figure the amount of money the middle sibling gets</u>

m = y + 15,000

m = 167,750 + 15,000

<em>m = 182,750</em>

<u>Step 4:  Figure the amount of money the oldest sibling gets</u>

o = 2y

o = 2(167,750)

<em>o = 335,500</em>

Answer:  The oldest gets -> $335,500

                The middle gets -> $182,750

                The youngest gets -> $167,750

3 0
3 years ago
Read 2 more answers
Molly had already read 6 books this year before joining a book club, and she plans to read 3 books every month now that she has
tatuchka [14]

Answer:

12 months

Step-by-step explanation:

Given data:

Before joining club 6 books read

3 books every month

total books read 42

books read after joining the club = 42 - 6

books read after joining the club = 36

Months she has in book club = 36/3

Months she has in book club = 12 months

7 0
3 years ago
What the answer to this question
Sonja [21]

To solve this, you need to isolate/get the variable "u" by itself in the inequality:            u = unknown number

2u - 3 < 1       Add 3 on both sides

2u - 3 + 3 < 1 + 3

2u < 4        Divide 2 on both sides to get "u" by itself

u < 2       (u is any number less than 2)

When the inequality sign is >/< (greater than/less than), the dot/endpoint is an open/unfilled circle.

When the inequality sign is ≥/≤ (greater than or equal to/less than or equal to), the dot is a closed/filled circle.

u < 2        

Start making a ray by placing an open circle on 2(click on the dot/endpoint to change it to be open if it isn't already), then have the ray point left where the numbers would be decreasing because "u" is any number less than 2. If you can place the end of the ray at the end of the number line.

3 0
3 years ago
The number f of miles a helicopter is from its destination x minutes after takeoff is given by f(x)=75−1.5x. The number f of mil
soldier1979 [14.2K]

Answer:

9

Step-by-step explanation:

10-1=9

5 0
3 years ago
if you put $1650 into a saving account with a simple interest rate of 2.3%, how much interest would you accrue after 7 years
Ber [7]
You would recieve $37.95 a year then multiply that by 7 years to get $265.65
6 0
3 years ago
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