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Dmitry [639]
3 years ago
5

Rewrite each expression by combining like terms. 13p - 4p + 6q

Mathematics
2 answers:
Dovator [93]3 years ago
7 0

Answer:

You answer would be 15p

Step-by-step explanation:

13p - 4p + 6p

9p + 6p

15p

mash [69]3 years ago
6 0

Answer:

9p + 6q

Step-by-step explanation:

Rewrite each expression

Combine like terms

13p - 4p + 6q

_____________________

When we have like terms, we can only add the ones that have the same symbols as endings, such as variables, exponents, etc. Therefore :

Add "p" values together :

13p - 4p

9p.

Now rewrite the expression, we cannot combine like terms with "p" and "q" because they are not the same variable :

9p + 6q

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:


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What is the modulus and argument after (StartRoot 3 EndRoot) (cosine (StartFraction pi Over 18 EndFraction) + I sine (StartFract
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Answer:

|z| = 27 -- Modulus

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Step-by-step explanation:

Given

((\sqrt 3)(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18}))^6

Required

Determine the modulus and the argument

We have that:

z = ((\sqrt 3)(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18}))^6

Expand:

z = (\sqrt 3)^6(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})^6

z = 27(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})^6

A complex equation can be expressed as:

z = |z| e^{i\theta}

Where

|z| = modulus

\theta = argument

Where

e^{i\theta} = (cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})

So:

z = 27(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})^6 becomes

z = 27(e^{i\frac{\pi}{18}})^6

By comparison:

e^{i\theta} = (e^{i\frac{\pi}{18}})^6

This gives:

{i\theta} = i\frac{\pi}{18}}*6

{i\theta} = i\frac{6\pi}{18}}

{i\theta} = i\frac{\pi}{3}}

Divide through by i

\theta = \frac{\pi}{3}

Hence, the modulus, z is:

|z| = 27

And the argument \theta is

\theta = \frac{\pi}{3}

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