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2 years ago

12

Find Z1 in trig form z1= (-3+4i)

1 answer:

Eva8 [605]2 years ago

8 0

Answer:

i = $\frac{1}{4} z +\frac{3}{4}$

Step-by-step explanation:

$z^{1}$ =−3+4i

4i−3=z

4i−3+3=z+3

4i=z+3

$\frac{4i}{4}$ = $\frac{z+3}{4}$

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Identify as a direct variation, inverse variation or neither. The number of tons of coal burned by an old coal burning locomotiv

Lynna [10]

The answer for the question shown above is the first option, which is:
- Direct.

The explanation is shown below:
1. The problem says that <span>The number of tons of coal varies as the number of hours.
2. Therefore, you can write the following equation:
number of tons:x
number of hours:y
x=ky
Where k is the constant of variation.
3. Therere the variation is direct.</span>

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2 years ago

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What is the volume of the oblique cube

serious [3.7K]

Answer:

$\large\boxed{V=\dfrac{1600\pi}{3}\ cm^3}$

Step-by-step explanation:

The formula of a volume of a cone:

$V=\dfrac{1}{3}\pi r^2H$

r - radius

H - height

We have r = 10cm and H = 16cm. Substitute:

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2 years ago

BD is the angle bisector of

AlexFokin [52]

Note: Let us consider, we need to find the $m\angle ABC$ and $m\angle DBC$ .

Given:

In the given figure, BD is the angle bisector of ABC.

To find:

The $m\angle ABC$ and $m\angle DBC$ .

Solution:

BD is the angle bisector of ABC. So,

$m\angle ABD=m\angle DBC$

$3x=x+20$

$3x-x=20$

$2x=20$

Divide both sides by 2.

$x=\dfrac{20}{2}$

$x=10$

Now,

$m\angle DBC=(x+20)^\circ$

$m\angle DBC=(10+20)^\circ$

$m\angle DBC=30^\circ$

And,

$m\angle ABC=(3x)^\circ+(x+20)^\circ$

$m\angle ABC=(4x+20)^\circ$

$m\angle ABC=(4(10)+20)^\circ$

$m\angle ABC=(40+20)^\circ$

$m\angle ABC=60^\circ$

Therefore, $m\angle DBC=30^\circ,m\angle ABD=30^\circ$ and $m\angle ABC=60^\circ$ .

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2 years ago

John's mother is three less than four times John's age. Their combined age is 37. What is John's age?

Komok [63]

I think the answer is 8

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2 years ago

Need hello fast I don’t know what to do

Free_Kalibri [48]

35 + 14
The greatest common factor for both is 7. Factor out 7

7(5 + 2) is your answer

Hope this helps

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3 years ago