Simplify (6 i)(8 − 3i).

Answers

Answer 1
Answer: Simplify the real and imaginary parts of the expression.  Answer=18+48i
Answer 2
Answer: (6i) (8 - 3i)=>48i - 18i = 30i ......u just multiply the brackets....Hope it helps!!!

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What is the solution to the following equation?

5(2x –6) + 20 = 10 (4 points)

Answers

5(2x-6)+20=10

Distribute

(5)(2x)+(5)(-6)+20=10

10x-30+20=10

Combine like terms (10x)+(-30+20)=10

10x-10=10

Add 10 to both sides

10x-10+10=10+10

10x=20

x = 20/10

x= 2


I hope that's help !


Evaluate x²-6x when x=3-i.

Answers

Answer:

10

Step-by-step explanation:

We are going to substitute x = 3 - i into the expression x² - 6x

* Remember than i² = (√-1)² = -1. so when we multiply and get i² we're going to transform it into -1.*

x^2-6x = (3 - i)^2 - 6 (3-i) = 9 - 6i+i^2 -18+6i\n=9 - 6i-1-18+6i\n=-10

Thus, x² - 6x = 10 when x = 3-i

Frank the lumberjack has a log that is 291 centimetres long. He cuts it into three pieces. Work out the length of the third piece if the first two pieces are 67cm and 181cm long.

Answers

Answer:

43cm

Step-by-step explanation:

Given

Length of Log = 291cm

First Piece = 67cm

Second Piece = 181cm

Required

Determine the length of the third piece

Given that the log was cut into three;

this implies that;

Length of Log = First Piece + Second Piece + Third Piece

Substitute values for first piece, second piece and length of log;

291 = 67 + 181 + Third\ Piece

291 = 248 + Third\ Piece

Subtract both sides by 248

291 - 248 = 248 - 248 + Third\ Piece

43 = Third\ Piece

Third\ Piece = 43

Hence, the length of the third piece is 43cm

What is the next in the sequence 2 6 3 8 6 12

Answers

The correct answer is: 11

Explanation:
There are two series in the given sequence:

Series-1:
2 3 6 x

Where x represents the number we need to find.

Series-2:
6 8 12

The following pattern is seen in the Series-2:
6 + 2 = 8
8 + 4 = 12

Meaning the additive has the incremental increase of 2 [Like 2, 4, 6, 8 ...].

Likewise,
In Series-1, the following pattern is shown [1,3,5,7...]:
2 + 1 = 3
3 + 3 = 6
6 + 5 = 11

Hence the correct answer is 11.


11
As you can see, the pattern is subsequently +4, -3, +5, -2, +6, -1 etc.
So, according to this, next sequence should be 12-1=11

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Answers

Answer:

B = 13.75

Step-by-step explanation:

Which is the value of this expression when m= and n=-5

Answers

Hello,

(6m^(-1)n^0)^(-3)=(6/m * 1)^(-3)= (m/6)^3
if m=3
(m/6)^3=(3/6)^3=(1/2)^3=1/8

Answer D