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3 years ago

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Mathematics

1 answer:

aivan3 [116]3 years ago

6 0

What is this caption

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(3-x)(x-5)<br> Hurry PLZ

marshall27 [118]

Answer:

-3x^2 + 15x

Step-by-step explanation:

(3 - x) (x - 5)

=> (3x - 15) ( -x)

=> -3x^2 + 15x

3 0

3 years ago

Please help it’s 1: 40 am and this takes years to finish please help

never [62]

The answer was is 11 + 21*5

7 0

4 years ago

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Answer asap<br> pic below

GaryK [48]

Answer:C

Step-by-step explanation:

6 0

3 years ago

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

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

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

4 0

3 years ago

If 4 tomatoes are needed to make 7 cups of salsa, exactly how many cups of salsa can be made with 18 tomatoes.

bezimeni [28]

Answer:

31.5 cups of salsa can be made

Step-by-step explanation:

4 x 4.5 =18

7 x4.5=31.5

5 0

3 years ago

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