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4 years ago

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Mathematics

2 answers:

rodikova [14]4 years ago

8 0

Answer:

X = 6

Step-by-step explanation:

17 - 5 = 12

12/2 = 6

hope this helps...

lidiya [134]4 years ago

3 0

Answer:

Step-by-step explanation:

Find x

Try to get x by itself

2x + 5 = 17

subtract 5 on both sides

2×+5(-5)=17(-5)

by subtracting 5 from its opposite, it turns to 0

now we are left with

2x=12

Next we need to divide

2x is like 2(x) which is multiplication

the inverse is division

when we divide, whatever u do to one side u do to the other

2x/2=12/2

×=12/2

we finally got x by itself

we can break 12/2 even further by dividing and you'd get

×= 6

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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fgiga [73]

Answer:

$|z| = 27$ -- Modulus

$\theta = \frac{\pi}{3}$ --- Argument

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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