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2 years ago

write the following integers in ascending order (smallest to biggest).1._5,2,1,_8 2. _4,_3,_5,2 3._10,_15,-7

Mathematics

1 answer:

Bond [772]2 years ago

7 0

Answer:

1.1,2,5,8

2.2,3,4,5

3.-7,10,15

Step-by-step explanation:

hope help

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Precal help if you could could you answer both. Me finishing this helps me graduate.

oee [108]

Exercise 1:

The easiest way to compute powers of complex numbers is to write them in the form

$z = \rho e^{i\theta} = \rho(\cos(\theta)+i\sin(\theta))$

In this form, you have

$z^n = \rho^n e^{in\theta} = \rho^n(\cos(n\theta)+i\sin(n\theta))$

The magnitude of the number is given by

$z=a+bi \implies \rho = \sqrt{a^2+b^2}$

So, we have

$z=-1+\sqrt{3}i \implies \rho = \sqrt{1+3}=2$

As for the angle, we have

$z=a+bi \implies \theta = \text{atan2}\dfrac{b}{a}$

So, we have

$z=-1+\sqrt{3}i \implies \theta = \text{atan2}\left(\dfrac{-\sqrt{3}}{-1}\right) = -\dfrac{2\pi}{3}$

Finally,

$z=-1-\sqrt{3}i = 2\left(\cos\left( -\dfrac{2\pi}{3}\right) + i\sin\left( -\dfrac{2\pi}{3}\right)\right) \implies z^6 = 2^6\left(\cos\left( -4\pi\right) + i\sin\left(-4\pi\right)\right) = 64$

Exercise 2:

You simply have to compute the trigonometric function:

$\cos\left(-\dfrac{\pi}{4}\right) = \dfrac{\sqrt{2}}{2},\quad \sin\left(-\dfrac{\pi}{4}\right) = -\dfrac{\sqrt{2}}{2}$

So, we have

$z = \sqrt{2}\left(\dfrac{\sqrt{2}}{2} - i\dfrac{\sqrt{2}}{2}\right) = 1-i$

7 0

2 years ago

Mount Everest is over 2.9 × 10 4 feet tall. In standard form, that is

just olya [345]

Answer:

29000 feet

Step-by-step explanation:

Move decimal points 4 places to the right.

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3 years ago

Which drawing is a construction of a quadrilateral with one pair of parallel sides of lengths p and q? (second picture is A, thi

kenny6666 [7]

The 3rd illustration from the left would be your answer.. You can see the quadrilateral is a trapezoid having the one pair of parallel sides constructed.

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2 years ago

Due today pls help me

Goshia [24]

Answer:

Step-by-step explanation:

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2 years ago

16x2 – 25

valkas [14]

Answer:

Step-by-step explanation:

=16x²-25

=(4x)²-(5)²

Using formula a²-b²=(a+b)(a-b)

=(4x+5)(4x-5)

6 0

2 years ago

write the following integers in ascending order (smallest to biggest).1._5,2,1,_8 2. _4,_3,_5,2 3._10,_15,-7​

write the following integers in ascending order (smallest to biggest).1._5,2,1,_8 2. _4,_3,_5,2 3._10,_15,-7