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Bogdan [553]
3 years ago
13

What is the equation of the line with a y-intercept of 4 and a point (8,8)

Mathematics
1 answer:
vladimir2022 [97]3 years ago
5 0

Answer:

y=1/2x+4

Step-by-step explanation:

to find the slope you need to know the change in y over the change in x

(0,4) and (8,8)

8-4/8-0

slope is 1/2

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Suppose z = . What is z4?<br><br> on EDGE 2020
Free_Kalibri [48]

Answer:

z^{4} = \cos \frac{8\pi}{3}+i\,\sin \frac{8\pi}{3}

Step-by-step explanation:

We can determine the power of a complex number by the De Moivre's Theorem, which states that for all z = r\cdot (\cos \theta + i\,\sin\theta), where a, b \in \mathbb{R}, the power of the complex number is:

z^{n} = r^{n}\cdot (\cos n\theta + i\,\sin n\theta) (1)

Where:

r - Magnitude of the complex number, dimensionless.

\theta - Direction of the complex number.

If we know that r = 1, n = 4 and \theta = \frac{2\pi}{3}, then the fourth power of the complex number is:

z^{4} = 1^{4}\cdot \left[\cos\left(\frac{8\pi}{3} \right)+i\,\sin\left(\frac{8\pi}{3}\right)\right]

z^{4} = \cos \frac{8\pi}{3}+i\,\sin \frac{8\pi}{3}

5 0
3 years ago
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Answer: 183.26

Explanation: see below

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3 years ago
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What is 2 3/8 as an improper fraction?<br><br> Give answers, please.
m_a_m_a [10]

To convert a mixed fraction into an improper fraction, we must follow some steps.

First, we take the whole part and multiply it by the denominator of the fraction.

In this case, we take 2 and multiply it by 8.

Now we add the numerator:

16+3=19

The denominator stays the same:

\frac{19}{8}

Hope it helps! :)

3 0
2 years ago
3) Two of these numbers are the same value, which ones are<br> they? 40%, .44, 14, .04, 4/10?
baherus [9]

Answer:

40% and 4/10

Step-by-step explanation:

If you convert them into decimals, they will both give the same decimals which gives 0.4

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2 years ago
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