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nevsk [136]
3 years ago
10

How to solve a complex number

Mathematics
1 answer:
Leno4ka [110]3 years ago
4 0
Hey Sweetie! I'll gladly answer this question for you!


Complex numbers are "binomials" of a sort, and are added, subtracted, and multiplied in a similar way. (Division, which is further down the page, is a bit different.) First, though, you'll probably be asked to demonstrate that you understand the definition of complex numbers.

<span><span>Solve <span>3 – 4i = x + yi</span></span>Finding the answer to this involves nothing more than knowing that two complex numbers can be equal only if their real and imaginary parts are equal. In other words, <span>3 = x</span> and <span>–4 = y</span>.</span>

To simplify complex-valued expressions, you combine "like" terms and apply the various other methods you learned for working with polynomials.

<span>Simplify (2 + 3i) + (1 – 6i).</span>

(2 + 3i) + (1 – 6i) = (2 + 1) + (3i – 6i) = 3 + (–3i) = 3 – 3i

<span>Simplify (5 – 2i) – (–4 – i).</span><span>(5 – 2i) – (–4 – i)<span>= (5 – 2i) – 1(–4 – i) = 5 – 2i – 1(–4) – 1(–i)= 5 – 2i + 4 + i= (5 + 4) + (–2i + i)= (9) + (–1i) = 9 – i</span></span>

You may find it helpful to insert the "1" in front of the second set of parentheses (highlighted in red above) so you can better keep track of the "minus" being multiplied through the parentheses.

<span>Simplify<span> (2 – i)(3 + 4i).</span></span><span>(2 – i)(3 + 4i) = (2)(3) + (2)(4i) + (–i)(3) + (–i)(4i)<span>= 6 + 8i – 3i – 4i2 = 6 + 5i – 4(–1)= 6 + 5i + 4 = <span>10 + 5i</span>
<span>

That is your answer....


Hope I helped!



</span></span></span>
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Find the scale factor of the dilation shown<br><br> A. 1/2<br> B. 3/2<br> C. 2<br> D. 2/3
AleksandrR [38]

Answer:

B

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To go from 6 to 9 you'd first have to divide 6 by 2 and the multiply by 3,

so \frac{1}{2} x 3 = \frac{3}{2}

8 0
3 years ago
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a diver went down 25.55 feet below the surface of the ocean and then 19.5 feet the fruther down he then rose 12.75 feet and solv
Elza [17]
-24.3 feet

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6 0
3 years ago
The number and frequency of Atlantic hurricanes annually from 1940 through 2007 is shown here:
klio [65]

Answer:

The probability table is shown below.

A Poisson distribution can be used to approximate the model of the number of hurricanes each season.

Step-by-step explanation:

(a)

The formula to compute the probability of an event <em>E</em> is:

P(E)=\frac{Favorable\ no.\ of\ frequencies}{Total\ NO.\ of\ frequencies}

Use this formula to compute the probabilities of 0 - 8 hurricanes each season.

The table for the probabilities is shown below.

(b)

Compute the mean number of hurricanes per season as follows:

E(X)=\frac{\sum x f_{x}}{\sum f_{x}}=\frac{176}{68}=  2.5882\approx2.59

If the variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 7.56 then the probability function is:

P(X=x)=\frac{e^{-2.59}(2.59)^{x}}{x!} ;\ x=0, 1, 2,...

Compute the probability of <em>X</em> = 0 as follows:

P(X=0)=\frac{e^{-2.59}(2.59)^{0}}{0!} =\frac{0.075\times1}{1}=0.075

Compute the probability of <em>X</em> = 1 as follows:

\neq P(X=1)=\frac{e^{-2.59}(2.59)^{1}}{1!} =\frac{0.075\times7.56}{1}=0.1943

Compute the probabilities for the rest of the values of <em>X</em> in the similar way.

The probabilities are shown in the table.

On comparing the two probability tables, it can be seen that the Poisson distribution can be used to approximate the distribution of the number of hurricanes each season. This is because for every value of <em>X</em> the Poisson probability is approximately equal to the empirical probability.

5 0
3 years ago
Solve for x<br><br><br> I really need to pass this class
S_A_V [24]
X=2
Explanation:

2x+14=18
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2x=4

Divide 2 with 4 which makes the 2 with the x cancel out. The two 14s cancel out by the way.
So 4 divided by 2 equals 2.
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