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3 years ago

How do you find (2+4i)^3 in rectangular form?

Mathematics

2 answers:

marshall27 [118]3 years ago

8 0

$(2+4i)^3=8+48i-96-64i=-88-16i$

Paha777 [63]3 years ago

4 0

note that (a + b)³ = a³ + 3a²b + 3ab² + b³

(2 + 4i)³ ← with a = 2 and b = 4i noting that i² = (√-1)² = -1

= 2³ + (3 × 4 × 4i ) + ( 3 × 2 × 16i² ) + ( 4i )³

= 8 + 48i - 96 - 64i

= - 88 - 16i

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polet [3.4K]

Answer:

Step-by-step explanation:

Area is l x h. If that's the case then we need to do the oposite of multiplication to get the answer we need. Divide 375cm an 25cm to get your answer.

Original Equation:

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New Equation:

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8 0

3 years ago

Write the first three terms in the following sequences. Identify them as arithmetic or geometric

vaieri [72.5K]

Answer:

$A(1)=9$

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Step-by-step explanation:

We are given that

$A(n+1)=A(n)-5 \;for\;n\geq 1$ A(1)=9

We have to find first three terms and identify the sequence is geometric or arithmetic.

Substitute n=1

Then, we get

$A(2)=A(1)-5=9-5=4$

For n=2

$A(3)=A(2)-5=4-5=-1$

For n=3

$A(4)=-1-5=-6$

$d_1=A_2-A_1=4-9=-5$

$d_2=A_3-A_2=-1-4=-5$

$d_3=A_4-A_3=-6+1=-5$

$d_1=d_2=d_3=-5$

When the difference of consecutive terms are constant then the sequence is arithmetic sequence.

Therefore, given sequence is arithmetic sequence.

8 0

3 years ago

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Airida [17]

Answer:

The answer is in the attachment!

Step-by-step explanation:

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4 years ago

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Answer:

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Step-by-step explanation:

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2 years ago