please help me answer this!! i will give brainliest and 5 star rating!!

Answer:

It is B.

Step-by-step explanation:

Edge2021

[tex]w -z =\sqrt{2}(cos(\frac{3\pi}{4} )+i~sin(\frac{3\pi}{4} ))[/tex]

"The number of the form a + ib where a, b are real numbers and [tex]i=\sqrt{-1}[/tex] "

"The polar form of complex number z = x + iy is [tex]z=r~(cos\theta+i~sin\theta)[/tex] where [tex]r=\sqrt{x^{2} +y^{2} }[/tex] and [tex]\theta=tan^{-1}(\frac{y}{x} )[/tex]"

For given question,

We have been given two complex numbers in polar form.

[tex]w=\sqrt{2}(cos(\frac{\pi}{4} )+i~sin(\frac{\pi}{4} ))[/tex] and [tex]z=2(cos(\frac{\pi}{2} )+i~sin(\frac{\pi}{2} ))[/tex]

We simplify above complex numbers.

[tex]w=\sqrt{2}(cos(\frac{\pi}{4} )+i~sin(\frac{\pi}{4} )) \\\\w=\sqrt{2}(\frac{1}{\sqrt{2} } +i~ \frac{1}{\sqrt{2} } ) \\\\w=1+i[/tex]

And the second complex number is,

[tex]z=2(cos(\frac{\pi}{2} )+i~sin(\frac{\pi}{2} ))\\\\z=2(0+i~1)\\\\z=0+2i[/tex]

Now if we find the value of w - z

⇒ w - z = (1 + i) - (0 + 2i)

⇒ w - z = 1 - i

Now we find the polar form of complex number.

[tex]r=\sqrt{1^{2} +(-1)^{2} } \\\\r=\sqrt{2}[/tex]

And the value of [tex]\theta[/tex] would be,

[tex]\theta=tan^{-1}(\frac{-1}{1} )\\\\\theta=tan^{-1}(-1)\\\\\theta=\frac{3\pi}{4}[/tex]

So, w - z in the polar form would be [tex]1+i=\sqrt{2}(cos(\frac{3\pi}{4} )+i~sin(\frac{3\pi}{4} ))[/tex]

Therefore, [tex]w -z =\sqrt{2}(cos(\frac{3\pi}{4} )+i~sin(\frac{3\pi}{4} ))[/tex]

Learn more about the complex numbers here:

https://brainly.com/question/17162901

#SPJ3

Answer:

848.97

Step-by-step explanation:

[tex]800(1 \ + \frac{2}{100} ) {}^{3} [/tex]

= 848.9664

Answer:

You keep the inequality sign.

Step-by-step explanation:

Please mark brainliest.

Answer: you would keep the sign

Answer: I believe the answer is $822.56.

Step-by-step explanation: Hope this helps :)

Answer:

its positive

Step-by-step explanation:

because the line going upward

Answer:

positive

Step-by-step explanation:

Answer:

(-8,-6)

Step-by-step explanation:

Answer:

So... the factored answer is -5(7+x) Simplified it is -35-5x

Step-by-step explanation:

Calculate the sum then factor! Hope this helps :D

Answer:

Christmas is in 10 days!

Other:

Brainliest? Thanks!

Answer:

x = -4

y= -10

Step-by-step explanation:

Solving for x

-4x-y = 26

-4x-(2x-2) = 26

-6x+2 = 26

-6x = 24

x = -4

Solving for y

y = 2x-2

y = 2(-4) -2

y= -8-2

y = -10

Answer:

Carla's dog =15 pounds

Paula's dog= 45 pounds

60÷4=15,so Carla's dog weighs 15 pounds and Paula's dog weighs 45 pounds

Step-by-step explanation:

divide 60 by 4 and multiply your answer (15) by 3

Answer:

A= ₹3,112.72

CI = ₹1,112.72

Step-by-step explanation:

Here P = ₹ 12000

Since, interest is compounded half yearly.

Therefore, R = 6/2 = 3%

n = 3/2* 2 = 3 half years

[tex] \because A= P\bigg(1+\frac{R}{100}\bigg)^n [/tex]

[tex] \therefore A= 12000\times \bigg(1+\frac{3}{100}\bigg)^3 [/tex]

[tex] \therefore A= 12000\times \bigg(\frac{100+3}{100}\bigg)^3 [/tex]

[tex] \therefore A= 12000\times \bigg(\frac{103}{100}\bigg)^3 [/tex]

[tex] \therefore A= 12000\times \bigg(1.03\bigg)^3 [/tex]

[tex] \therefore A= 12000\times 1.092727 [/tex]

[tex] \therefore A= 13,112.724 [/tex]

[tex] \therefore A=Rs. \:13,112.72 [/tex]

CI = A - P

CI = 13,112.72 - 12000

CI = ₹1,112.72

Ans Measurement is the process of comparing and unknown physical quantity with a known or standard one.

Answer:

its 1,0

Step-by-step explanation:

because im 4o3 iq trust me

We want to solve the given system of equations graphically

The estimated solution that we will get is (0, -2)

The given system of equations is:

y = 2x - 2

y = -35x + 1

To solve it graphically, we need to graph both lines on the same coordinate axis, and see where the lines intersect.

The graph can be seen below, there we can see that the lines intersect near the point (0, -2)

Note that this does not coincide with any of the given solutions, which means that one of the two lines must be written incorrectly.

If you want to learn more, you can read:

https://brainly.com/question/17641264

Answer:

the answer is (7,5) (5,5)

Answer:

22

Step-by-step explanation:

Angles CBD and ABD are complementary, which means that they have a sum of 90 degrees. Since it tells you that angle ABC is 68 degrees, subtract that from 90.

90-68= 22

Answer:

29

Step-by-step explanation:

Answer:

(x + 4), (y + 9)

Step-by-step explanation:

y= x^2 and y = x^2 - 8x + 25 are parabolas which open upwards.

The turning point of y = x^2 is at the origin (0, 0).

So the transformation is 4 units to the right and 9 units upwards:

(x + 4), y+ 9).

Answer:

yes it is ok

Step-by-step explanation:

40 ok equate

Answer:

8

Step-by-step explanation:

62 divided by 8 is 7.75

you can't cut people so round it up and you get 8

Answer:

203.5

Step-by-step explanation:

Please mark brainliest.

Answer:

Answer is: 203.5

Step-by-step explanation:

Hope this helped YOU! :)

Answer:

$222.50

Step-by-step explanation:

Hours Josh worked last week = 30

Money earned per hour = $8.50

Money withheld = $32.50

Josh's net pay = (30 x 8.50) - 32.50

                        = 255 - 32.50

                        = $222.50

Pls mark as brainliest <3

Answer:

hope this helps....... anyways try this

Answer:

x=(6,0)     y=(0,-2)

Step-by-step explanation:

hope it helped:)

Answer:

24300

Step-by-step explanation:

first find the square for 30 * 30

then multiply!

Answer:

A,B,D

Step-by-step explanation:

Answer:

A,B,D

Step-by-step explanation:

Given:

Point P divides the line segment AB in 5:3 where A(-6,9) and B(2,1).

To find:

The coordinates of point P.

Solution:

Section formula: If a point divide a line segment in m:n, then the coordinates of point are

[tex]\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

Point P divides the line segment AB in 5:3 where A(-6,9) and B(2,1). Using section formula, we get

[tex]P=\left(\dfrac{5(2)+3(-6)}{5+3},\dfrac{5(1)+3(9)}{5+3}\right)[/tex]

[tex]P=\left(\dfrac{10-18}{8},\dfrac{5+27}{8}\right)[/tex]

[tex]P=\left(\dfrac{-8}{8},\dfrac{32}{8}\right)[/tex]

[tex]P=\left(-1,4\right)[/tex]

Therefore, the coordinates of point P are (-1,4).

Answer:

D

Step-by-step explanation:

I know this stuff

Hi there! There are no numbers listed, therefore I'm unable to do answer your question. Are there numbers included in the problem?

Answer:Simplifying

x = -2.125

Step-by-step explanation:Add '-10' to each side of the equation.

10 + -10 + 8x = -7 + -10

Combine like terms: 10 + -10 = 0

0 + 8x = -7 + -10

8x = -7 + -10

Combine like terms: -7 + -10 = -17

8x = -17

Divide each side by '8'.

x = -2.125

Simplifying

x = -2.125

Answers:

18:12

3:2

Step-by-step explanation:

9:6 = 9 * 2 : 6 * 2 = 18:12

9:6 = 9/3 : 6/3 = 3:2

Hope this helps.