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Dimas [21]
2 years ago
6

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
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