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4 years ago

Which statements correctly compares the two numbers?

Mathematics

1 answer:

brilliants [131]4 years ago

4 0

Answer:

Step-by-step explanation:

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When converting the equation of a line

zheka24 [161]

Answer:

Step-by-step explanation:

In the standard form Ax + By = C, the A can only be any positive integer and B and C can be any integer.

3 0

3 years ago

Which expression is a cube root of -1+i√3?

Tpy6a [65]

Answer:

<em>The correct option is C.</em>

Step-by-step explanation:

<u>Root Of Complex Numbers</u>

If a complex number is expressed in polar form as

$Z=(r,\theta)$

Then the cubic roots of Z are

$\displaystyle Z_1=\left(\sqrt[3]{r},\frac{\theta}{3}\right)$

$\displaystyle Z_2=\left(\sqrt[3]{r},\frac{\theta}{3}+120^o\right)$

$\displaystyle Z_3=\left(\sqrt[3]{r},\frac{\theta}{3}+240^o\right)$

We are given the complex number in rectangular components

$Z=-1+i\sqrt{3}$

Converting to polar form

$r=\sqrt{(-1)^2+(\sqrt{3})^2}=2$

$\displaystyle tan\theta=\frac{\sqrt{3}}{-1}=-\sqrt{3}$

It's located in the second quadrant, so

$\theta=120^o$

The number if polar form is

$Z=(2,120^o)$

Its cubic roots are

$\displaystyle Z_1=\left(\sqrt[3]{2},\frac{120^o}{3}\right)=\left(\sqrt[3]{2},40^o\right)$

$\displaystyle Z_2=\left(\sqrt[3]{2},40^o+120^o\right)=\left(\sqrt[3]{2},160^o\right)$

$\displaystyle Z_3=\left(\sqrt[3]{2},40^o+240^o\right)=\left(\sqrt[3]{2},280^o\right)$

Converting the first solution to rectangular coordinates

$z_1=\sqrt[3]{2}(\ cos40^o+i\ sin40^o)$

The correct option is C.

8 0

3 years ago

Waise got 12, or 3/5 of her answers on the test right. How many questions were on the test?

zhannawk [14.2K]

There were 20 questions on the test because 3/5 x 4 = 12/20
hope this helped:)

4 0

4 years ago

Read 2 more answers

Write 4/3 as a mixed number

lara31 [8.8K]

Answer:

1 1/3

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

What is 2/3 divided by 1/6 ( show your work )

Slav-nsk [51]

Answer:

Step-by-step explanation:

2/3÷1/6

Flip the 1/6 to make it a reciprocal and then multiply

2/3•6/1

simplify by crossing out

2•2 =4

8 0

3 years ago