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4 years ago

Find all solutions of the equation. leave answers in trigonometric form x^3-8=0 2cis

Mathematics

1 answer:

Lera25 [3.4K]4 years ago

7 0

$x^3-8=0$

$x^3=8=8\mathrm{cis}\,0^\circ$

By DeMoivre's theorem, we have

$x=8^{1/3}\mathrm{cis}\left(\dfrac{0^\circ+360^\circ k}3\right)$

with $k=0,1,2$ . Then we have three solutions,

$x=2\mathrm{cis}\,0^\circ=2$

$x=2\mathrm{cis}\,120^\circ$

$x=2\mathrm{cis}\,240^\circ$

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Z=y/xm , solve for x

fgiga [73]

Answer:

y/mz

Step-by-step explanation:

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3 years ago

Help ASAP! And explain!

stich3 [128]

Answer:

Option (2)

Step-by-step explanation:

Given:

AC is an angle bisector of ∠DAB and ∠DAB

m∠BCA ≅ m∠DCA

m∠BAC ≅ m∠DAC

To Prove:

ΔABC ≅ ΔADC

Solution:

Statements Reasons

1). m∠BCA ≅ m∠DCA 1). Given

2). m∠BAC ≅ m∠DAC 2). Given

3). AC ≅ AC 3). Reflexive property

4). ΔABC ≅ ΔADC 4). ASA property of congruence

Therefore, Option (2) will be the correct option.

4 0

3 years ago

(Solve and write addition Equations) Zacarias and Paz together have $756.80. If Zacarias has $489.50, how much does Paz have? Wr

serious [3.7K]

$489.50+x=$756.80

x=amount paz has.

756.80-489.50 = 267.3

so Paz has $267.30

4 0

3 years ago

Read 2 more answers

What is 2/5 divided by 3/4

Triss [41]

It’s 8/15 decimal form it’ll be 0.53 hope this helped !

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3 years ago

Write the equation of a possible rational

kondor19780726 [428]

Answer:

The graph has a removable discontinuity at x=-2.5 and asymptoe at x=2, and passes through (6,-3)

Step-by-step explanation:

A rational equation is a equation where

$\frac{p(x)}{q(x)}$

where both are polynomials and q(x) can't equal zero.

1. Discovering asymptotes. We need a asymptote at x=2 so we need a binomial factor of

$(x - 2)$

in our denomiator.

So right now we have

$\frac{p(x)}{(x - 2)}$

2. Removable discontinues. This occurs when we have have the same binomial factor in both the numerator and denomiator.

We can model -2.5 as

$(2x + 5)$

So we have as of right now.

$\frac{(2x + 5)}{(x - 2)(2x + 5)}$

Now let see if this passes throught point (6,-3).

$\frac{(2x + 5)}{(x - 2)(2x + 5)} = y$

$\frac{(17)}{68} = \frac{1}{4}$

So this doesn't pass through -3 so we need another term in the numerator that will make 6,-3 apart of this graph.

If we have a variable r, in the numerator that will make this applicable, we would get

$\frac{(2x + 5)r}{(2x + 5)(x - 2)} = - 3$

Plug in 6 for the x values.

$\frac{17r}{4(17)} = - 3$

$\frac{r}{4} = - 3$

$r = - 12$

So our rational equation will be

$\frac{ - 12(2x + 5)}{(2x + 5)(x - 2)}$

$\frac{ - 24x - 60}{2 {x}^{2} + x - 10}$

We can prove this by graphing

5 0

3 years ago