Which pair of complex numbers has a real-number product?

O (1 + 2i) (8i)

0 (1 + 2i) (2 - 5i)

O (1 + 2i) (1 – 2i)

O (1 + 2i)(4i)

Answers

Answer 1

Answer:

(1 + 2i)(1 - 2i)

Step-by-step explanation:

Multiplying a complex number and its conjugate results in a real number.

Thus

1 + 2i and 1 - 2i are conjugates

(1 + 2i)(1 - 2i) ← expand using FOIL

= 1 - 2I + 2I - 4I² [ note i² = - 1 ]

= 1 - 4(- 1)

= 1 + 4

= 5 ← a real number

Answer 2

Answer:

C

Step-by-step explanation:

C


Related Questions

which is greater? 2/3 or 3/4?​

Answers

Answer:

3/4

Step-by-step explanation:

When finding common denominators the answer would be 3/4.

Answer:

2/3 is not greater than 3/4

Step-by-step explanation:

Estimate the measure of

Answers

Answer:

148°

Step-by-step explanation:

it is very close to the 150 line and the option closest to 150 is 148

The answer is 148 degrees
Hope this helps:)

11x-7=3x+9 value of fg

Answers

Answer:

x=16 because when they both cross the equal to sign their operational sign changes thus u subtract n make x the subject

The answer is x=16 hope this helps

What is the area of a circle with equation (x+2)2+(y-4)2=36?

Answers

Answer:

X+Y=20

Step-by-step explanation:

(x+2)2+(y-4)2=36

2x+4+2y-8=36

2x+2y=36+4

X+Y=20

Final answer

X+Y=20

need help with slope from two points

Answers

Answer:

whatz slope

Step-by-step explanation:

??

PLEASE HELP I WILL GIVE YOU BRAINLEST!!!!!!!!!!!!!!

Answers

Answer:

the answer is 45 because 55+45=100

Step-by-step explanation:

brainliest pls

Answer:

he scored 45 points in the 3rd. for the second part i dont know how to do


Kara's car used 1/16 gallons
of gas to drive 1/8 of a mile. At
this rate, how many miles can
Kara's car drive using one
gallon of gas?

Answers

1/16*16= 1
1/8*16= 2

Answer= 2 miles

Question 6
What is the 10th term in this arithmatic sequence if u is 0.2?
0.2, 1.55, 2.9, 4.25, 5.6 ....

Answers

Answer:

12.35 should be the 10th term sorry if im wrong tho

Step-by-step explanation:

5) Ziegler is using paper for an art project
thatis 0.025 mm thick. If she glues a layer
of thepaper onto a construction board with
athickness of 7 * 10^-2 mm, what will the
total thickness of the paper and the
construction
board be? Write your ansicer
in scientific notation

Answers

Answer:

9.5 * 10^-2 mm

Step-by-step explanation:

To find the total thickness, we proceed to add the two thickness that we have

Mathematically, this will be;

0.025 mm + 7 * 10^-2 mm

7 * 10^-2 mm = 0.07

So we have;

0.025 mm + 0.07 mm = 0.095

In scientific notation, this is 9.5 * 10^-2 mm

its past due so plz help me

Answers

Answer:

y= 5/8x

Step-by-step explanation:

When it says y is it typically means y=.

When it says 5/8 of a number or of a variable it means that number times that variable.

Hope this helps!

List a value of b that will cause 4x2 + bx + 25 = 0 to have one real solution

Answers

Answer:

20

Step-by-step explanation:

If you take (2x+5) (2x+5) = 0

then 4x^2 + 20x +25 = 0

I need help. Please.

Answers

Answer: yes

Step-by-step explanation:

If you have the dots in different places that are moveing around have the quad’s multiple or divide that means it have there own function.

$24 lunch and 15% tip

Answers

Answer:

Total: 24.00

Tip: 3.60

Total: 27.60

Answer:

Step-by-step explanation:

27.60

Pls help, I only have ten min

Answers

The answer Is the first one

Please help me.......

Answers

Answer:

x=206

Step-by-step explanation:

Cara deposited $200 dollars into her savings account bringing her balance up to $450. Which equation can be used to find, x, the savings account balance before the $200 deposit?
A x + 200 = 450
B x200=450
C x−200=450
D 200x = 450

Answers

Answer:

A. x + 200 = 450

Step-by-step explanation:

Since clara deposited $200 into her savings account and it brought her account up to $450, to find the answer you would add "x" with 200 and you should get 450 which means x= 250. we can check our answer by solving : 450-200 and you should get 250 for your answer so the answer is

A x + 200 = 450

What is the first step in simplifying the expression 11x - 2 - 3(1 -7x)^2

Answers

Answer:

multiply 3 by the one and -7x

can you put this as the brain list because i need one more to level up

Step-by-step explanation:

Answer: Apply the exponent

Step-by-step explanation: Remember the acronym PEMDAS. Since you can't simplify the parentheses, move on to applying the exponent 2 to (1 - 7x)

witch 2 numbers are 4 units away from zero on a number line

Answers

Answer:

it depends which way youre going, but 4 and -4 work.

Step-by-step explanation:

2x-y=1
x-y=-2
......................................

Answers

Answer:

y=5 x=3

Step-by-step explanation:

x-y=-2 move the y over to isolate x

x=-2+y Now plug that in for x in the first equation

2(-2+y)-y=1 Distribute

-4+y=1 Add 4 on both sides

y=5

x-5=-2

x=3

twice as many dimes as quarters I have a $1.80 total how many dimes do I have ​

Answers

Answer:

The answer is 8 dimes

Step-by-step explanation:

4 quarters x 2 = 8

8 dimes

1.00 + 0.80 = $1.80

PLEASE PLEASE PLEASE PLEASE HELPP!!what is The function f(x) = 4x – 8 reflected across the y-axis on a coordinate plane

Answers

The answer is:
(2,0) (0, -8)

is this a function or not a function explain why or why not

Answers

it is a function bc every x term is only used once (once an x term is used more than once, it isnt a function)

What is the value of 24 – ( - 6 – (5 + 8))?
O A. 5
B. 27
C. 31
O D. 43

Answers

The correct answer is 43

Esteban stands on a dock 1.25 yd above the water. A fish swims below Esteban at -4.61 yd from the surface of the water. How many yards apart are Esteban and the fish?

Answers

Answer:

3.36 yards

Step-by-step explanation:

✓From the question, Esteban stands on a dock 1.25 yd above the water which means the distance of Esteban above the water is 1.25 yd

✓A fish swims below Esteban at -4.61 yd from the surface of the water which means the distance of the fish away from the surface is 4.61 yd in opposite direction of Esteban

NOTE: The negative sign only signify direction of the fish which is opposite of Esteban

✓then the distance in yards apart of Esteban and the fish is

=4.61-1.25

=3.36 yards

A blueprint for a house has a scale of 1:30. A wall in the blueprint is 3 in. What is the length of the actual wall?
30
60
90
120

Answers

Answer:

C.90

Step-by-step explanation:

1 inch = 30

30 * 3 = 90

Maria wants to buy a new phone researching realized that the best price and 147.86 US dollars at the time of purchase it still achieved a 10% discount which and the amount paid by maria already with the discount
put the math account please

Answers

Answer:

0.6763154335

Step-by-step explanation:

because. 10%is the same as 10 over 100 .because percent means 100. so you say 100÷10=10. then you say 10×14.786. this is how I got the answer.

how much is the arc of a circle if the angle is 70°​

Answers

Answer:

siriously i dont know cuz im learning this in maths

area

perimeter

arc

Answer:

We also know that the sum of the measures of arcs AD, AB, CD, and BC must be 360 degrees, because there are 360 degrees in a full circle. Because AD = 2AB, we can substitute 2AB for AD. This means the measure of arc AB is 70 degrees, and the measure of arc AD is 2(70) = 140 degrees.

Step-by-step explanation:

hope that helps u

help please this is hard .

Answers

Answer: is A because they are equal

The perimeter of a rectangle 220 cm and its breadth and length are in
the ratio 4:7.What is the breadth and length?

Answers

Answer:

80 is the breadth and 140 is the length

Step-by-step explanation:

Function f gives the temperature, in degrees Celsius, t hours after midnight. Choose the equation that represents the statement: “At 1:30 p.m., the temperature was 20 degrees Celsius.” Group of answer choices f (1:30) = 20 f (1.5) = 20 f (13:30) = 20 f (13.5) = 20

Answers

Answer:

D.

Step-by-step explanation:

The function f gives the temperature in degrees Celsius t hours after midnight.

Therefore, for the temperature at 12:00 AM (exactly midnight), we will have f(0).

For 1:00 AM, 1 hour after midnight, we will have f(1).

And for 12:00 PM (noon), we will have f(12).

We want to find the equation that represents the temperature at 1:30 PM.

1:30 PM is 13.5 hours after midnight or 1.5 hours after noon.

Therefore, the correct statement would be:

f(13.5)=20.

Hence, our answer is D.

Notes:

A and C are not correct because we do not use a colon for function notation. We input numerical values, not time.

Answer:

d

Step-by-step explanation:

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