All categories

3 years ago

Match each description when z = 9 + 3i. 1. Real part of z 2. Imaginary part of z 3. Complex conjugate of z 4. 3i - z 5. z - 9 6.

9 - z A. -9 B. 3i C. -3i D. 9 - 3i E. 3 F. 9 5x2 - 20 = 0 x3 - x2 + x - 1 = 0 x3 + 3x2 + x + 3 = 0 x3 - 2x2 + x - 2 = 0 x3 - 6x2 - 16x + 96 = 0

Mathematics

1 answer:

sergey [27]3 years ago

5 0

$1)\quad \Re(9+3i)=9\qquad\text{F}\\\\
2)\quad \Im(9+3i)=3\qquad\text{E}\\\\
3)\quad \overline{(9+3i)}=9-3i\qquad\text{D}\\\\
4)\quad 3i-(9+3i)=3i-9-3i=-9\qquad\text{A}\\\\
5)\quad 9+3i-9=3i\qquad\text{B}\\\\
6)\quad 9-(9+3i)=9-9-3i=-3i\qquad\text{C}\\\\$

You might be interested in

How do you calculate ratios

Marrrta [24]

Answer:

A link for a calculator that I use for ratios

Step-by-step explanation:

https://www.calculatorsoup.com/calculators/math/ratios.php

4 0

3 years ago

Help with my homework pls<br> Solve the compound inequality y + 7 ≥ –1 and y∕4 + 3 ≤ 5.

Marianna [84]

Answer:

-8 ≤ y ≤ 8

Step-by-step explanation:

Subtract 7 from the first one:

y ≥ -8

Subtract 3 from the second one, then multiply by 4.

y/4 ≤ 2

y ≤ 8

Now, you can write these as a compound inequality:

-8 ≤ y ≤ 8

_____

<em>Additional comment</em>

You basically solve these the same way you would an equation. The only difference is that multiplying or dividing by a negative number will reverse the inequality symbol:

2 > 1

-2 < -1 . . . . . multiplied above by -1.

8 0

2 years ago

Find the radius of a circle given that the area is three times its circumference

lbvjy [14]

Answer:

Radius of the circle = 6 units

Step-by-step explanation:

Let the radius of the circle be r

According to the given condition:

Area of the circle = 3 times the circumference of the circle

$\therefore \pi r^2 =3\times 2\pi r\\\therefore r^2 = \frac{3\times 2\pi r}{\pi}\\\therefore r^2 = 3\times 2r\\\therefore r = 6\: units\\$

5 0

3 years ago

Write a division problem that will have a 2 digit quotient and another division problem that will have a 3 digit quotient. Expla

o-na [289]

Answer:

$\frac{240}{4} =60$

$\frac{1800}{3} =600$

Step-by-step explanation:

1. The result should by a 2 digit number.

So, I fix a two digit number first, say 60.

Then, I multiplied it by some random integer, say 4 and got 240.

Now, 240 is my dividend and 4 is my divisor.

My division problem is:

$\frac{240}{4} =60$

2. The result should be a 3 digit number.

So, I fix a three digit number first, say 600.

Then, I multiplied it by some random integer, say 3 and got 1800.

Now, 1800 is my dividend and 3 is my divisor.

My division problem is:

$\frac{1800}{3} =600$

6 0

3 years ago

Read 2 more answers

I'll give brainliest!! Also 40 points!

ki77a [65]

Well, if you have a word problem for example:

Maria has 24 backpacks and 12 textbooks. She needs to fit all the books in the backpacks evenly. How will she do that?

So you could do 24 ÷ 12 = 2 textbooks per backpack OR

Add 12 together until you get to 24, 12 + 12 = 24

So all you need to do is show your work and how you solved both solutions to any type of problem. (Hope this was helpful!)

5 0

3 years ago