All categories

2 years ago

Anyone, can you Please help with this question? Find the product of (−6 −3i) and its conjugate.

Mathematics

1 answer:

Sloan [31]2 years ago

3 0

The product of the complex number (−6 −3i) and its conjugate is; 45.

<h3>What is the product of the complex number (−6 −3i) and its conjugate.?</h3>

It follows from the task content that the complex number in discuss can be multiplied with its Conjugate as follows;

(−6 −3i) (−6 +3i)

Hence it follows from the converse of the difference of two squares theorem that;

(−6 −3i) (−6 +3i) = (−6)² −(3i)²

= 36 - 9i²

= 36 -9(-1)

= 36+9

= 45.

Read more on conjugate of complex numbers;

brainly.com/question/28114996

#SPJ1

You might be interested in

When graphing the inequality. 2 - 8> -20 is it open or closed dot, and is it shaded to the left or the right?

Goryan [66]

Answer:

I assume you know the 4 inequalites:

The 4 Inequalities

Symbol Words Example

> greater than x+3 > 2

< less than 7x < 28

≥ greater than or equal to 5 ≥ x−1

≤ less than or equal to 2y+1 ≤ 7

The "open circle" represents less than or greater than, and the "closed circle" represents greater than or equal to or less than or equal to.

Hope it helps! Have a great day! :) let me know if it helped

7 0

3 years ago

Which statement best describes the function h(t) = 210 – 15t?

jonny [76]

Answer:

The answer is b.

h is the function name; t is the input and h(t) is the output.

The function name is the one outside the parentheses, the input is inside and the output is the whole function.

Step-by-step explanation:

8 0

3 years ago

a charity raised about 8200. if the amount of money was rounded to the nearest hundred dollars, what ciuld have been the exact a

marshall27 [118]

Answer:

Anything from 8150 to 8249

6 0

3 years ago

AA<br> SSS<br> SAS<br> Not Similar

Olenka [21]

Answer:

vertically opposite angles and alternate pair

so by aa similarity they are similar

8 0

3 years ago

Which line represents the line that passes through (3/2-1/2) and has a slope of 1

taurus [48]

Step-by-step explanation:

The point-slope of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

We have

$m=1\\\\\left(\dfrac{3}{2},\ -\dfrac{1}{2}\right)\to x_1=\dfrac{3}{2},\ y_1=-\dfrac{1}{2}$

Substitute:

$y-\left(-\dfrac{1}{2}\right)=1\left(x-\dfrac{3}{2}\right)$

$y+\dfrac{1}{2}=1\left(x-\dfrac{3}{2}\right)$ → <em>the point-slope form</em>

Convert to the slope-intercept form:

$y+\dfrac{1}{2}=x-\dfrac{3}{2}$ <em>subtract 1/2 from both sides</em>

$y=x-\dfrac{4}{2}$

$y=x-2$ → <em>the slope-intercept form</em>

8 0

3 years ago