Find the product of -5 – 4i and its conjugate. The answer is a + bi where

Answers

Answer 1

Answer:

Step-by-step explanation:

(-5 - 4i)(-5 + 4i)

25 - 20i + 20i - 16 i^2

25 + 16

41 + 0i

Answer 2

Given complex number is (-5 - 4i).

Therefore, conjugate of this number will be (-5 + 4i)

[Conjugate of a complex number (a + bi) is (a - bi)]

Multiplication of the number and the conjugate of this number will be,

(-5 - 4i)(-5 + 4i) = (-5)² - (4i)²

                        = 25 - (16i²)

                        = 25 - (16)(-1) [Since, i² = (-1)]

                        = 25 + 16

                        = 41

It can be written in the form a complex form → (41 + 0.i)

Therefore, a = 41 and b = 0.

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Related Questions

A 6-meter garden row is divided into 5 equal-sized sections to plant onions

Answers

Answer:

1.2 m

Step-by-step explanation:

The question has missing details, however a possible question could be to determine the length of each section.

This is calculated by dividing the rowlength of the garden, by length of each section.

Section Length = Row length ÷ Number of section

Section Length = ,6m ÷ 5

Section Length = 1.2m

What is the measure of P?

Answers

Answer:

111?

Step-by-step explanation: Did u even try...

Fill in the blank.
There are 178 stuffed toys in a toy shop.
There are 227 fewer stuffed toys than puzzles in the toy shop.
How many puzzles are in the toy shop?

Answers

I got 49 .. i think it’s right

Answer:49

Step-by-step explanation:

The length of a rectangle is 3 less than twice the width. If the
perimeter is 72 cm, what is the length of the rectangle?

Answers

Answer:

Ihave made it in above pic

1st figure is wrong 2nd is correct

Answer:

length = 23

breadth = 13

x = 13 , okay

Step-by-step explanation:

see the explanation in attachment.

What's the answer to this question?

Answers

Answer:

Area = 10

Step-by-step explanation:

Here is how to solve:

(x1y2+x2y3+x3y1-y1x2-y2x3-y3x1) / 2

In your case

A(2,2) is x1=2, y1=2

B(6,2) is x2=6, y2=2

C(6,7) is x3=6, y3=7

So

((2x2)+(6x7)+(6x2)-(2x6)-(2x6)-(7x2)) divided by 2 = 10

Area = 10

Landon has 3 black shirts, 2 white shirts, and 2 blue shirts. He also has 2 pairs of black shorts and 2 pairs of khaki shorts. Landon randomly chooses one shirt and one pair of shorts. What is the probability Landon will choose a blue shirt and a black pair of shorts?

Answers

Answer:

 

Step-by-step explanation:

123Step-by-step explanation:

Combine like terms 0.5(x⁴-3)+12

Answers

i think you're wanting this simplified; 0.5x^4 + 10.5

Answer: 0.5x^4+10.5

Step-by-step explanation: hope this helps!

1. Write two expressions for the area of the big rectangle. 8y х 12 글 2. Use the distributive property to write an expression that is equivalent to (8y +-$+-12). The boxes can help you organize your work. sy -X -12 2 3. Use the distributive property to write an expression that is equivalent to (8y I 12). TEE​

Answers

Answer:It doesn't make sense

Step-by-step explanation:

triangle KLM ~ triangle KCD are similar. Solve for x.​

Answers

Answer:

x=14

Step-by-step explanation:

28/16 = 1.75

1.75 is the constant of proportionality

63/1.75 = 36

therefore, 2x+8 should be equal to 36

2x+8 = 36    >> subtract 8 from both sides

2x = 28        >> divide both side by 2 to get x alone

x = 14

Pls help I’m so confused

Answers

Step-by-step explanation:

1560 sq yards

for Sure I have done this question before

and have just soved it

You can say thanks in comment

Find the radian measure of the central angle of a circle of radius r that intercepts an arc of length s.
r= 3 inches, s = 15 inches

Answers

Answer:

45 inches

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

PLEASE ANSWER ASAP!!!!!!!!!!!!!
Is 1 + 4(3x - 10) - 12x equivalent to -9? EXPLAIN and show your work.

Answers

Answer:

Since you have to distribute the 4 to both terms in parentheses, the equation is simplified like this:

1 + 12x - 40 -12x

= 1 - 40

= -39

Step-by-step explanation:

Answer: No

Step-by-step explanation:

1 + 4(3x - 10) - 12x = 9

simplifies to

1+12x - 40 -12x =9

combine like terms to get

-39 = 9

This is not possible so the answer is no.

the insructions for a model car show a scale of 1 inch to 48 inches. How long is the actual car if the drawing is 4 inches

Answers

Answer:

192

Step-by-step explanation:

Answer:

192

Step-by-step explanation:

The ratio of inches to inches is 1:48

To get 4:x

You have to multiply, 4/1 = 4, 4 by 48.

4*1 = 4

4*48 = 192

4:192 = 1:48 * 4

how many interior angles of a triangle can be equal to 85°​

Answers

2 since interior angles ar equal to 180

true or false: a proper graph is a chromatic graph?

Answers

Answer:false

Hope this helps :)

Which expression is equivalent to 1 x +3 - 3x + (-2)?

Answers

Answer:

1 - 2x

Step-by-step explanation:

Simplify the expression.

1x + 3 - 3x + (-2)

Bring all the like terms together.

= 1x - 3x + 3 - 2

Simplify again.

= 1 - 2x

A baker sold 20 cakes. He sold 3/5 of them before noon. How many cakes did he sell that morning?

Answers

Answer:

He sold 12 cakes

Step-by-step explanation:

1/5 of 20 is 4 so 3 X 4= 12 so 12 cakes

are there any guys on here that are actually nice oh and today is my birthday ;)
monitors please don't delete this today is my birthday what is 5+1

Answers

Answer:

6 and hello there, how ya doing?

Step-by-step explanation:

Happy Birthday btw hopefully everything is working out for you and have a wonderful birthday.

Answer:

Happy Birthday!

Step-by-step explanation:

I consider myself nice but that might not be what others think.

(6)

A quiche is cut into slices as shown below. If each slice is exactly the same size and shape as the one shown, what is
the circumference of the whole quiche? Round to the nearest whole number.

Answers

Answer:

The answer is C

Step-by-step explanation:

Prove that the triangle with vertices A(0,1), B(3,3), and C(3,-1) is an isosceles triangle. Select the two sides that are congruent.

Answers

Answer:

AB and AC are congruent

Step-by-step explanation:

To show that the triangle is isosceles, we need to show that two of the sides of the triangle are equal.

Get AB

Using the formula for calculating the distance between two points

AB = √(x2-x1)²+(y2-y1)²

A(0,1), B(3,3)

AB = √(3-0)²+(3-1)²

AB = √3²+2²

AB = √9+4

AB = √13

Get BC

B(3,3), and C(3,-1)

BC = √(3-3)²+(-1-3)²

BC = √0²+-4²

BC= √0+16

BC = √16

BC = 4

Get AC

A(0,1), and C(3,-1)

AC = √(3-0)²+(-1-1)²

AC = √3²+(-2)²

AC = √9+4

AC= √13

Since AB = AC, this shows that the triangle ABC is an isosceles triangle.

The two sides that are congruent are AB and AC

Please answer asap!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer 95 in college

Step-by-step explanation:

Write an equation of the line in slope-intercept form. (3, 3)
(0, 2)

Answers

Answer:

Step-by-step explanation:

3-2 change in y = 1

3-0 change in x= 3

y=1/3x+ c

What would be the answer to this?

Answers

Answer:

If you are looking for x it equals 80 degrees

Step-by-step explanation:

vertical angles are congruent

What is 0.5 divided by 0.4 long division

Answers

the answer is 1.25.
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Analysis of variance is used to ______. A. simultaneously compare several population means B. compute a t test C. compare nominal data D. compare population proportions

Answers

Answer:

"Option A" is the right alternative.

Step-by-step explanation:

ANOVA could also be utilized to predict the dependent variable of even more with around 2 categories and seems to be compared to the general population extra influential throughout this circumstance. Throughout addition, ANOVA variants typically include covariates that encourage somebody to manipulate numerically for confounding factors as well as to recognize interactions wherein the factor progressives the implications of some other factor.

Other provided preferences weren’t comparable to the same circumstances in question.

Algebra basics Graphing lines and slope


Question: Detereme the intercepts of the line

y - intercept ( , ) ( , )

x - intercept ( , ) ( , )​

Answers

Answer:

y= (-40,-1) x=(-10-17)

Step-by-step explanation:

-1/2+(3/4*4/9)= solve

Answers

Answer:

-1/6 and on decimal form is -0.16

Step-by-step explanation:

yes that person is correct I’m assuming .


well , goodluck :))

Find the circumference 7.44ft

Answers

46.75 I believe sorry if I’m wrong tho

what is the distributive property of 18+42

Answers

Answer:

the distributive property of 18+42 is multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Step-by-step explanation:

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Answers

Answer:

The answer is C

Step-by-step explanation:

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