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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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Compare and contrast XY with XY.
mojhsa [17]

Answer:

{}                                                                                                    XY                \overline {XY}

Represent a distance {}                                                                 √

Represent a segment {}                                                                                     √

Represent a numerical value {}                                                     √

Represent a geometric figure                                                                           √

Can be found by applying the ruler postulate  {}                         √

Can be be duplicated with a compass and a straight edge                          √

Step-by-step explanation:

The difference between XY and \overline {XY} are that the points XY represents the distance between two points having a numerical value whose value can be found by using a ruler to find difference in the numbers on the ruler that coincides with the points, while

4 0
2 years ago
The $120 repair bill included $36 for parts and rest for labor. What percent of the bill was for labor?​
Bogdan [553]

Answer:

30%

Step-by-step explanation:

3 0
2 years ago
The endpoints of (line segment )AB are A(2, 2) and B(3, 8). (line segment ) AB is dilated by a scale factor of 3.5 with the orig
horrorfan [7]
The slope:
m = ( y2 - y1 ) / ( x2 - x1 ) = ( 8  2 ) / ( 3 - 2 ) = 6 / 1 
m = 6  ( we have the same slope for AB and A`B` )
AB = √[( 3 - 2 )² + ( 8 - 2 )²] = √37
A`B` = 3.5 √37 = 21.29 
5 0
2 years ago
Read 2 more answers
Stephanie put $80 in her bank account when she was five years old. The bank gave her a simple interest rate of 2.1%.
Brut [27]

Answer:

2000

Step-by-step explanation:

4 0
1 year ago
Colin & Brian share a lottery win of £2100 in the ratio 4 : 1. Colin then shares his part between himself, his wife & th
Paraphin [41]

Answer:

His wife gets $336 more than his son.

Step-by-step explanation:

Colin and Brian:

Ratio of 4:1.

So Colin gets \frac{4}{4+1} = \frac{4}{5} of the prize.

\frac{4*2100}{5} = 1680

Colin got $1680. Dividing between himself, his wife and their son:

Ratio of 2:5:3.

So Colin gets \frac{2}{2+3+5} = \frac{2}{10}, his wife gets \frac{5}{2+3+5} = \frac{5}{10} and his son gets \frac{3}{2+3+5} = \frac{3}{10}

Wife:

\frac{5*1680}{10} = 840

His wife got $840.

Son:

\frac{3*1680}{10} = 504

His son got $504.

How much more does his wife get over their son?

840 - 504 = 336

His wife gets $336 more than his son.

8 0
1 year ago
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