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3 years ago

√-1 factor completely without any 'i'

Mathematics

1 answer:

Tanzania [10]3 years ago

8 0

Answer:

the root of -1 is -1

Step-by-step explanation:

When multiplied by itself, the root is typically a specified number of times gives a specified number or quantity. So -1 × -1 = -1

So there you go

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4q-2q+1

sineoko [7]

This is deceptively simple: there are only three terms, one is a constant (1) and two are coefficients of q (4q, -2q). To simplify the like terms, just simplify the terms containing q.

6 0

3 years ago

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Use DeMoivre's Theorem to find the indicated power of the complex number. Write answers in rectangular form. [one half (cosine

Morgarella [4.7K]

Answer:

$(\, \cos(\frac{\pi}{16}) + i\sin(\frac{\pi}{16}) \,)^{1/2} = \cos(\frac{\pi}{32}) + i\sin(\frac{\pi}{32}) = 0.99 + i0.09$

Step-by-step explanation:

The complex number given is

$z = (\, \cos(\frac{\pi}{16}) + i\sin(\frac{\pi}{16}) \,)^{1/2}$

Now, remember that the DeMoivre's theorem states that

$( \cos(x) + i\sin(x) )^n = \cos(nx) + i\sin(nx)$

Then for this case we have that

$(\, \cos(\frac{\pi}{16}) + i\sin(\frac{\pi}{16}) \,)^{1/2} = \cos(\frac{\pi}{32}) + i\sin(\frac{\pi}{32}) = 0.99 + i0.09$

7 0

3 years ago

Find a8 of the sequence 10,9.75,9.5,9.25,

borishaifa [10]

Answer:

7.25

Step-by-step explanation:

10,9.75,9.5,9.25,

the rest of the sequence would look like

8, 7.75, 7.5, 7.25, 7, 6.75, 6.5, 6.25, 6 etc.

(the pattern is - .25 from the previous number.

so the 8th number in this sequence is 7.25

hope this helps!!:)

6 0

3 years ago

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X/4+36+x/3=100<br> What is x?

AlekseyPX

X=7/64 you multiply them by x first then do the math

8 0

3 years ago

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Which equation has a graph that goes through the points (4, -6) and (0, 6)?

Ugo [173]

Answer:

$y = -3x + 6\\$

Step-by-step explanation:

Find the gradient of the equation

$\frac{Difference in y}{Difference in x} \\\\\frac{6 - - 6}{0 - 4} = \frac{12}{-4} = -3$

The equation will have the gradient -3x

Use the general equation of a line, and substitute the coordinates in to find the y-intercept.

$y = x + c\\ y = -3x + c\\$

(4, -6)

$-6 = -3(4) + c\\ -6 = -12 + c\\ -6 + 12 = c\\ c = 6$ $6 = -3(0) + c\\ 6 = 0 + c\\ c = 6$

(0, 6)

$6 = -3(0) + c\\ 6 = -0 + c\\ c = 6$

The equation of the line is

$y = -3x + 6\\$

4 0

3 years ago