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2 years ago

What is the x-value of point A? Please answer quick I am timed Thank you!

Mathematics

2 answers:

Anon25 [30]2 years ago

8 0

Answer:

A = (5, 3), so the x-value is 5

Step-by-step explanation:

Brilliant_brown [7]2 years ago

8 0

Answer:

(5, 3), so the x-value is 5

Step-by-step explanation:

Person above me right thank you person above me

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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

3 years ago

An airplane needs to head due north, but there is a wind blowing from the northeast at 50 km/hr. The plane flies at an airspeed

laiz [17]

Answer: $\theta =2.415^{\circ}$

Step-by-step explanation:

Using vector method to solve it

Resultant can be given by

$R^2=700^2+40^2+2\times 700\times 40cos135$

$R^2=450,408$

R=671.12 Km/hr

The angle made by resultant with 700 km/hr is $\theta$

using sine rule

$\frac{40}{sin\theat }=\frac{R}{sin45}$

$sin\theta =0.0421509$

$\theta =2.415^{\circ}$

8 0

2 years ago

Simplify the expression

cestrela7 [59]

It would come out as 1

7 0

2 years ago

Please help they’re 2 questions

IgorLugansk [536]

i think it’s is a for the first one

4 0

3 years ago

A ____ compares two numbers by division?

barxatty [35]

Usually a ratio will compare two numbers by division

4 0

2 years ago