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Pavlova-9 [17]
2 years ago
9

How would you simplify (3+i)(4+2i)?​

Mathematics
2 answers:
const2013 [10]2 years ago
7 0

Answer:

<h2>(3 + i)(4 + 2i) = 10 + 10i</h2>

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]2 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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muminat

Answer:

9 to 4

Step-by-step explanation:

If you divide each of the first numbers on the answers by each of the second numbers they all become a ratio of 2 to 1 except for 9 to 4.

7 0
3 years ago
Read 2 more answers
The taxi fare in Metropolis is $3.75 for the first mile and additional mileage charged at the rate of $0.30 for each additional
Alexxx [7]

Answer:

Total charge

=

$

4.25

+

$

1.50

(

m

−

1

)

Total charge for 12 miles  

=

 

$

20.75

Explanation:

Building the rule

The trick with algebra is to think what you would do with numbers, then substitute letters.

Mile number 1 costs

$

4.25

The rest of the miles

⇒

(

total miles

−

1

)

×

$

1.50

Putting this all together we have:

$

4.25

+

(

total miles

−

1

)

×

$

1.50

The question instructs that we are to use the letter m for the total miles so we now have:

$

4.25

+

(

m

−

1

)

×

$

1.50

This would be written as:

$

4.25

+

$

1.50

(

m

−

1

)

So

 Total charge

=

$

4.25

+

$

1.50

(

m

−

1

)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Determine the charge for 12 miles

Total charge

=

$

4.25

+

$

1.50

(

12

−

1

)

Total charge

=

$

4.25

+

$

1.50

(

11

)

Total charge for 12 miles

=

$

4.25

+

$

16.50

 

=

 

$

20.75

Hope this helps you...

:)

7 0
2 years ago
Read 2 more answers
A number sentence is shown below:
d1i1m1o1n [39]

Number sentence is simply a sentence, that uses numbers and arithmetic signs.

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<em />

Given

32\frac 14 \div \frac 18 = 258

<u />

<u>(a) Context or story</u>

A context is as follows:

<em>There are 8 bits in a byte; How many bits are there, in </em>32\frac 14 bytes

<u />

<u>(b) As a multiplication</u>

32\frac 14 \div \frac 18 = 258

Change the <em>division to multiplication </em>as follows:

32\frac 14 \times \frac 81 = 258

<u />

<u>(c) Verbal explanation how the numbers are related</u>

When 32\frac 14 is divided by \frac 18, the result is 258

Read more about number sentence at:

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4 0
2 years ago
5. Car rental company A charges $30 a days and
olga nikolaevna [1]

Answer:

Step-by-step explanation:

I need  the answer for same question pleas

5 0
3 years ago
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Oduvanchick [21]
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