Please help it's greatly apprecatied

Help!! Which of the following best represents Z1 • Z2 select all that apply

AURORKA [14]

$z_1=\sqrt{3}\left(cos\:\frac{\pi }{4}+i\:sin\:\frac{\pi }{4}\right)$

$z_2=\sqrt{6}\left(cos\:\frac{3\pi \:}{4}+i\:sin\:\frac{3\pi \:}{4}\right)$

$\cos \left(\frac{\pi }{4}\right)=\frac{\sqrt{2}}{2}$

$\sin \left(\frac{\pi }{4}\right)=\frac{\sqrt{2}}{2}$

$\cos \left(\frac{3\pi }{4}\right)=-\frac{\sqrt{2}}{2}$

$\sin \left(\frac{3\pi }{4}\right)=\frac{\sqrt{2}}{2}\\$

$Z_1*Z_2=\sqrt{3}\left(cos\:\frac{\pi }{4}+i\:sin\:\frac{\pi }{4}\right)\cdot \sqrt{6}\left(cos\:\frac{3\pi \:}{4}+i\:sin\:\frac{3\pi \:}{4}\right)$

$=\sqrt{3}\left(\frac{\sqrt{2}}{2}+\:i\frac{\sqrt{2}}{2}\right)\cdot \sqrt{6}\left(\frac{-\sqrt{2}}{2}+\:i\frac{\sqrt{2}}{2}\right)$

On simplifying, we get

$Z_1* Z_2 =-3\sqrt{2}$

<h2>Therefore, correct option is 1st option.</h2>

3 0

3 years ago

State the order and type of each transformation of the graph of the function

algol [13]

Using translation concepts, compared to the graph of the base function g(x) = x², the function f(x) was:

Vertically stretched by a factor of 4.

Shifted left by 9 units.

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the base function g(x) = x² was:

Multiplied by 4, that is, vertically stretched by a factor of 4.

Shifted left 9 units, as x -> x + 9.

More can be learned about translation concepts at brainly.com/question/4521517

#SPJ1

6 0

2 years ago

a dvd player remote control costs 266 a college student has 813 in her savings account how much will she have left in her saving

defon

Answer:

547

Step-by-step explanation:

Just subtract 813 - 266.

pls mark me as brainiest

5 0

3 years ago

Im being lazy hewp pwease :(

aalyn [17]

Answer:

(-3,0)

Step-by-step explanation:

the vertex is where the quadratic function reaches its maximum or minimum height and as you can see on this graph the maximum height of this equation is at the (-3,0) point meaning that (-3,0) is the vertex

5 0

3 years ago

PLEASE HELP SOON. i have been stuck on this algebra 1 question for what feels like an eternity can someone please help and soon?

-Dominant- [34]

You are trying to find an x-value for which f(x) = g(x). At first your choice of x is arbitrary. In the given table, the first x-value tried was 0 (zero). For this value of x, f(x) does NOT equal g(x).

Next x was 1. f(x) and g(x) are even further apart here. So reject 1 and try 2 instead. Notice how f(x) and g(x) are closer together now than they were for x=1.

Note that for x=2.5, f(x) and g(x) are even closer together; ony 0.75 separates them.

Your turn. Try x=2.4, x=2.3, and so on. You may have to go in the other direction: Try x=2.6, x=2.7, and so on. If f(x) and g(x) are getting closer to one another, you're going in the right direction; if further apart, you're going in the wrong direction.

Have fun. This really is an interesting problem.

6 0

3 years ago