2 years ago

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:

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

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

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

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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!

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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.

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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

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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

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I need this answer too

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2 years ago

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