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wlad13 [49]
3 years ago
7

This is about exponents

Mathematics
1 answer:
bulgar [2K]3 years ago
6 0

Answer:

B

Step-by-step explanation:

Using the rules of exponents

a^{m} × a^{n} ⇔ a^{(m+n)} and

a^{0} = 1, then

9^{x} × 9^{-x}

= 9^{(x-x)}

= 9^{0} = 1 → B

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Plz help I do not wanna get grounded​
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A chef bought some green and red peppers. She bought 18 green peppers, which was 3/4 the total number.
Nezavi [6.7K]
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Express the complex number in trigonometric form.<br> -6 + 6 sqrt3 i
11Alexandr11 [23.1K]

Answer:

The trigonometric form of the complex number is 12(cos 120° + i sin 120°)

Step-by-step explanation:

* Lets revise the complex number in Cartesian form and polar form

- The complex number in the Cartesian form is a + bi

-The complex number in the polar form is r(cosФ + i sinФ)

* Lets revise how we can find one from the other

- r² = a² + b²

- tanФ = b/a

* Now lets solve the problem

∵ z = -6 + i 6√3

∴ a = -6 and b = 6√3

∵ r² = a² + b²

∴ r² = (-6)² + (6√3)² = 36 + 108 = 144

∴ r = √144 = 12

∵ tan Ф° = b/a

∴ tan Ф = 6√3/-6 = -√3

∵ The x-coordinate of the point is negative

∵ The y-coordinate of the point is positive

∴ The point lies on the 2nd quadrant

* The measure of the angle in the 2nd quadrant is 180 - α, where

  α is an acute angle

∵ tan α = √3

∴ α = tan^-1 √3 = 60°

∴ Ф = 180° - 60° = 120°

∴ z = 12(cos 120° + i sin 120°)

* The trigonometric form of the complex number is

  12(cos 120° + i sin 120°)

 

4 0
3 years ago
Read 2 more answers
Solutions of the equation 4x2-7x=3x+24
Naily [24]
<span><span> x = -3/2 = -1.500
</span><span> x = 4</span></span>
3 0
3 years ago
Read 2 more answers
Help me please it is due today
kap26 [50]

Answer:

$0.33

Step-by-step explanation:

If three packs cost 0.98, one pack costs about 0.33

This is not exact though. I rounded it to the nearest hundredth.

3 0
3 years ago
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