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OLEGan [10]
2 years ago
11

Multiply the complex numbers: (4 + 6i)(1∕2 + 3i)

Mathematics
1 answer:
Firlakuza [10]2 years ago
6 0

Answer:

B) 20 + 15i

Step-by-step explanation:

So first you need to foil the equation (a + bi)(c + di) = ac +adi +bic +bidi. then you need to combine like terms. Remember that i^2 = 1 and i = i.

Then write your final answer in the terms a + bi

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List the first five terms of the sequence. a1 = 4, an+1 = 5an − 3
RUDIKE [14]

The recursive formula

a_{n+1} = 5a_n-3

is telling you that the next term in the sequence is five times the previous one, minus 3.

So, if we start with a_1=4, we have to multiply it by 5 and subtract 3 to get the next:

a_2 = 5a_1-3 = 5\cdot 4 - 3 = 20-3 = 17

And similarly we can obtain all the next terms:

a_3 = 5a_2-3 = 5\cdot 17 - 3 = 85-3 = 82

a_4 = 5a_3-3 = 5\cdot 82 - 3 = 410-3 = 407

a_5 = 5a_4-3 = 5\cdot 407 - 3 = 2035-3 = 2032

5 0
2 years ago
Rectangle lmno is rotated 90 degrees clockwise around the origin to create l’m’n’o which statement best describes the relationsh
vova2212 [387]

Answer:

The correct option is A: they are equidistant from origin

Step-by-step explanation:

Since the rotation is performed around the fixed axis on its origin, there will not be any change to the distances between the origin and the point n or n'. The size of the rectangle has neither increased or decreased so, it cannot be possible that the distance between the origin and the point n could change after the object is rotated.

Hope that answers the question, have a great day!

4 0
2 years ago
Peter wants to cut a rectangle of size 6x7 into squares with integer sides. What is the smallest number of squares he can get
Semmy [17]
 He can cut 5 squares, by making 1 4 × 4, 2 3 × 3 and 2 2 × 2 squares.
5 0
2 years ago
Three erasers and five pencils cost $7.55. 6 erasers and 12 pencils cost $17.40. How much does 1 eraser cost? How much does 1 pe
Sphinxa [80]

Answer:

Step-by-step explanation:

erasers=e  

pencils=p

3e+5p=7.55   ...(1)

6e+12p=17.40

divide by 2

3e+6p=8.70  ...(2)

(2)-(1) gives

p=8.70-7.55=1.15

from (1)

3e+5(1.15)=7.55

3e+5.75=7.55

3e=7.55-5.75

3e=1.80

e=1.80/3=0.60

cost of 1 eraser=$0.60

cost of 1 pencil =$1.15

7 0
2 years ago
Four classmates were asked to decorate 1/5 of the bulletin board in a classroom. They divided the section to be decorated equall
svetoff [14.1K]
I need this answer too
8 0
2 years ago
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