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Afina-wow [57]
3 years ago
10

Rewrite the equation in Ax+By=C form.Use integers for A, B, and C.y-1=-5(x-5)​

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
7 0

Answer:

5x + y = 26

Step-by-step explanation:

Step 1: Distribute

y - 1 = -5x + 25

Step 2: Add 1 to both sides

y = -5x + 26

Step 3: Move 5 to the other side

5x + y = 26

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Exercise 1:

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

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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
PLEASE ANSWER RN!! Which statement can be represented by the equation Two-fifths x + 9 = 9? Two-fifths of nine is a number. Two-
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Answer:

Step-by-step explanation:

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3 years ago
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Answer:

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y ----> the distance remaining in kilometers

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