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3 years ago

How would you simplify (3+i)(4+2i)?

Mathematics

2 answers:

const2013 [10]3 years ago

7 0

Answer:

Step-by-step explanation:

Use FOIL: (a + b)(c + d) = ac + ad + bc + bd

and i² = -1

$(3+i)(4+2i)\\\\=(3)(4)+(3)(2i)+(i)(4)+(i)(2i)\\\\=12+6i+4i+2i^2\qquad\text{combine like terms}\\\\=(12-2)+(6i+4i)\\\\=10+10i$

Lunna [17]3 years ago

7 0

Answer:

11 + 10i

Step-by-step explanation:

Note that we're multiplying two binomials here, and thus may use the FOIL method. This requires four multiplications, as follows:

3*4 + 3*2i + 4i - 1 (The last term is 1 because i(i) = i^2 = -1.)

Simplifying, we get:

12 + 6i + 4i -1, or:

11 + 10i

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Klio2033 [76]

Answer:

First arrange the data in an order

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a.) Q1 = (N + 1)/4th item = (15 + 1)/4 = 4th item = 7

Q2 = 2(16)/4 = 16/2 = 8th item = 12

Q3 = 3(16)/4 = 3(4) = 12th item = 17

IQR = (Q3 - Q1)/2 = (17 - 7)/2 = 10/2 = 5

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Step-by-step explanation:

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3 years ago

Miguel biked 14 km in the same amount of time that linda hiked 10 km. Miguel's rate was 4 km/h more than linda's. How fast did e

matrenka [14]

The first thing we must do is define a variable.

We have then:

x: Linda's speed.

Then, by definition, the time traveled is equal to the distance between the velocity.

We have then:

For Linda:

$t = \frac{10}{x}$

For Miguel:

$t = \frac{14}{x + 4}$

Then, since time is the same, then:

$\frac{10}{x} = \frac{14}{x + 4}$

Clearing Linda's speed we have:

$10 (x + 4) = 14x$

$10x + 40 = 14x$

$40 = 14x-10x$

$40 = 4x$

$x = \frac{40}{4}$

$x = 10$

Then, Miguel's speed is:

$x + 4 = 10 + 4 = 14$

Answer:

Linda's speed is 10 Km/h

Miguel's speed is 14 Km/h

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3 years ago

5 - 3(6 - 2y)

saul85 [17]

Answer:

6y - 13

Step-by-step explanation:

5 - 3(6 - 2y)

Distribute;

5 - 18 + 6y

-13 + 6y <em>OR</em> 6y - 13

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3 years ago

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In the figure, m<1=7x+8, m<2=4x+11, and m<4=12x+7. What is the m<1?

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Answer:

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3 years ago

How would you simplify (3+i)(4+2i)?​

How would you simplify (3+i)(4+2i)?