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2 years ago

How do I simplify the following to "a+bi" form: (1+2i)^3

Mathematics

1 answer:

damaskus [11]2 years ago

7 0

Answer:

Expand it.

(1+2i)^3 is equal to (1+2i)(1+2i)(1+2i).

Multiply everything out (being sure to multiply <em>every</em> term. (1+2i) * (1+2i) = 1+2i+2i+4i^2.

i is the square root of negative one, so i^2 is just -1. 1+2i+2i-4 is what you get from the first two, so now simplify that:

1-4 + 2i+2i = (-3+4i) and now multiply that by (1+2i):

(-3+4i) * (1+2i) = -3 - 6i +4i +8i^2.

Simplify again, and the answer is: -11-2i

Step-by-step explanation:

I hope this helps - really my only tip is don't spend time thinking about what i is, that just hurts your brain. Just remember that i^2 is equal to negative one, and treat it like regular multiplication and you will be fine.

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If A and B are independent events with P( A) = 0.60 and P( A| B) = 0.60, then P( B) is: a. 0.60 b. cannot be determined with the

Simora [160]

Answer:

<h2>B. cannot be determined</h2>

Step-by-step explanation:

For two events A and B to be independent, it means they can occur at the same time i.e the occurrence of one does not affect the other occurring. It is represented as P(A∩B) = P(A)P(B)

Given P( A) = 0.60 and P( A| B) = 0.60, to find P(B), we will use the formula for the conditional probability P( A| B) = P(A∩B) /P(B)

P( A| B) = P(A)P(B) /P(B)

P( A| B) = P(A)

Since P( A| B) = 0.60, therefore P(A) is also equal to 0.60 and P(B) cannot be determined since they cancelled out already

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3 years ago

In the following activity, match each pair of equivalent expressions.

Vilka [71]

Answer:

1. -8+3x

2. 51x-2+4x2 (squared)

3. 66x +324

4. 6x+2

5. 13 +13x

Step-by-step explanation:

I don't think I really understand the question but I tried to simplify the equations

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3 years ago

Un poste de luz tiene un cable en la punta con el que forma un ángulo de 60°. Indique la longitud del poste sabiendo que el cabl

posledela

Answer:

4.04 metros

Step-by-step explanation:

Resolvemos la pregunta anterior usando la función trigonométrica de

tan θ = Opuesto / Adyacente

θ = 60 °

Frente = 7 metros

Adyacente =? = x

Por eso

bronceado 60 = 7 / x

Multiplicar cruzada

= tan 60 × x = 7

x = 7 / tan 60

x = 4.0414518843 metros

Aproximadamente = 4.04 metros

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3 years ago

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3 years ago

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ryzh [129]

Answer:

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Step-by-step explanation:

7 + 1/2 × h

7 + 1h/2

find the LCM of 1 and 2

the LCM =2

multiply via by their LCM

14 + h

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3 years ago