MATHEMATICS HIGH SCHOOL

Find the product of the complex number and its conjugate.1 + 2i

1 - 4i
-3
5
1 + 4i

Answers

Answer 1

Answer:

Answer:

The answer would be 5!

Step-by-step explanation:

You start with 1+2i and the conjugate of this would be 1-2i!

After that, in order to find the product, you multiply (1+2i)(1-2i)

You can use distribution or you can use the formula (a+b)(a-b)=a^2-b^2

Either way the answer will be 1-4i^2

i^2=-1 so you replace the i^2 in our equation with negative 1 and solve to get 5!

Hope this helped! <3

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From the sum of 3x+ 5y -2 and 2x-3y +1 subtract the sum of 4x -8y +3 and -5x + 6y +7
All circles are similar to each other. a. True b. False
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change 4/10 into fifths

Sebastian is driving to a concert and needs to pay for parking. There is an automatic fee of $10 just to enter the parking lot, and when he leaves the lot, he will have to pay an additional $3 for every hour he had his car in the lot. How much total money would Sebastian have to pay for parking if he left his car in the lot for 2 hours? How much would Sebastian have to pay if he left his car in the lot for tt hours?Cost for 2 hours:
Cost for t hours:

Answers

Answer:

1. 16$

2. 10+3(t)=$

Step-by-step explanation:

1. 10+3+3=16

The lee family buys a new car that has a sales price of 35,000. If the car dealer requires minimum down payment of 15% what is the minimum down payment the lees must pay for their car?

Answers

Answer:

$5,250

Step-by-step explanation:

The less must pay a minimum down payment that is equivalent to 15% the sales price of the new car.

Given that the price of the new car is $35,000, the product of 15% with this amount will equal the down payment.

As such, the down payment

= 15% * $35,000

= 0.15 * $35,000

= $5,250

Answer:5250.00

Step-by-step explanation: percents are a multiplication so 35,000×15=5250.00

Simplify a - {5b - [a - (3b - 2c) + c - (a - 2b - c)]}.-a - 6b + 4c

a - 6b + 4c

a - 10b + 4c

-a + 10b + 4c

Answers

a - {5b - [a - (3b - 2c) + c - (a - 2b - c)]}
= a - 5b - a - 3b + 2c + c - a + 2b + c
= -a - 6b + 4c

answer is -a - 6b + 4c (first choice)

your answer should be -6b+4c

Best of Luck!!!

:):):)

HELP! The average male Burns about 100 calories per mile and 140 calories per mile joggimg. using X to represent the miles walked and y to represent miles johged. Write a linear inequality modeling the number of miles a man should walk and jog in order to burn at least 500 calories

Answers

Answer:ididnt ask

Step-by-step explanation:

yes

a goblet contains 3 red balls, 2 green balls, and 5 blue balls. if we choose a ball, then another ball without putting the first one back in the goblet, what is the probability that the first ball will be red and the second will be blue? 3/20

Answers

Answer: $(1)/(6)$

Step-by-step explanation:

The chance of the first ball being red is $(3)/(10)$ .

The chance for the second ball being blue is $(5)/(9)$ , as the red ball is not added back in. To find the chance of both of these happening, you multiply them together.

$(3)/(10)$ · $(5)/(9)$ = $(15)/(90)$ which simplifies to $(1)/(6)$ .

Solve for X

4X-(9-3X)=8X-1

Answers

4x - (9 - 3x) = 8x - 1

4x - (9) - -(3x) = 8x - 1

4x - 9 + 3x = 8x - 1

7x - 9 = 8x - 1 (-8x from each side)

-x - 9 = -1 (+9 to each)

-x = 8 (divide -1 from each side)

x = -8

In the equation, if we are to solve for x, the result would be -8.