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maxonik [38]
3 years ago
8

How you do multiply complex numbers ? Example : (9 - 4i) (8 + 6i)

Mathematics
1 answer:
Andrew [12]3 years ago
6 0

You multiply them just as you would multiply any normal polynomials, except there is a special rule. Since we know that i = √-1, the rule is that i² = -1. So, let's multiply:

(9-4i)(8+6i) = 72+54i-32i-24i^2

Let's simplify this:

72+22i+(-24*-1)

72+22i+24 = 96+22i

Therefore, your answer is 96 + 22i.

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How much greater than m2+3mn−n2 is 4m2+5mn+6n2?<br> PLEASE HELP
tiny-mole [99]

Answer:

3m² + 2mn + 7n²

Step-by-step explanation:

Subtract m² + 3mn - n² from 4m² + 5mn + 6n², that is

4m² + 5mn + 6n² - (m² + 3mn - n²)

= 4m² + 5mn + 6n² - m² - 3mn + n² ← collect like terms

= 3m² + 2mn + 7n²


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3 years ago
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il63 [147K]
The sum of 433 and 27 is 460.

I hope this is helpful! :D
5 0
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Answer:

D

Step-by-step explanation:

104/16=6.5

6.5 rounds up to 7

3 0
3 years ago
(-19, -12), (-9, -15)
Jlenok [28]

Answer:

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5 0
2 years ago
If a hypothesis is not rejected at the 0.10 level of significance, it: a. may be rejected at the 0.05 level. b. must be rejected
mariarad [96]

Answer:

Option D - Will not be rejected at the 0.05 level.

Step-by-step explanation:

The significance level, which is denoted as "α", is a measure of the strength of the evidence that must be present in a sample before we can reject the null hypothesis and conclude that the effect is statistically significant. Now, this significance level must be determined before conducting an experiment.

Now, in the context of this question, the significance level is the probability of rejecting the null hypothesis when it is true. For example, a significance level of 0.05 means a 5% risk of concluding that a difference exists when there is no actual difference. Now, lower significance levels will indicate that we require stronger evidence before we can reject the null hypothesis.

Thus, if we don't reject at α = 0.1,we obviously will not reject at higher values.

Thus, looking at the options, we will not reject at 0.05 significance level.

4 0
3 years ago
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