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Alekssandra [29.7K]
3 years ago
5

Multiply the following complex numbers: (7+2i)(2+3i)

Mathematics
2 answers:
Law Incorporation [45]3 years ago
7 0

When u multiply these two u should get 6i^2+25i+14.

neonofarm [45]3 years ago
6 0

Answer:

8+25i

Step-by-step explanation:

Given expression,

(7+2i)(2+3i)

=7(2+3i) + 2i(2+3i)   ( Distributive property )

=7(2) + 7(3i) + 2i(2) + 2i(3i)   ( Distributive property )

=14+21i+4i+6i^2

=14+(21+4)i-6  ( i² = -1 )

=14+25i-6

=8+25i

Hence,

(7+2i)(2+3i)=8+25i

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A clock radio phone cost 83.95. Tax is $4.49 for each radio phone how much do 3 clock radio phones cost
zimovet [89]

Step-by-step explanation:

If each clock radio costs $83.95 + taxes ($4.49), each clock radio has the real cost of $88.44

Therefore if you multiply the real cost of the 3 pieces, you'll get the result:

$88.44 x 3 = $265.32

Answer:

$265.32

5 0
3 years ago
Write a word problem that is solved by 43 ÷ 5= 8 R3, in which the remainder is the only part needed to answer the question.
Sonbull [250]
The answer should have been 8.6 that was wrong but it is okay you were close
6 0
4 years ago
Read 2 more answers
Jasmine's plane ticket cost $466.88. She has already saved 25% of the cost of the ticket. During the next 2 weeks, she will save
tresset_1 [31]

Answer: She would save $175.08 during each of the next 2 weeks.

Step-by-step explanation:

Jasmine's plane ticket cost $466.88. She has already saved 25% of the cost of the ticket. This means that the amount that she already saved is

25/100 × 466.88 = $116.72

The amount remaining would be

466.88 - 116.72 = $350.16

During the next 2 weeks, she will save 1/2 of the remaining cost of the ticket. This means that the amount that she would save during each of the next 2 weeks is

1/2 × 350.16 = $175.08

3 0
3 years ago
Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answ
Nata [24]

Answer: 5x-3y=44

Step-by-step explanation:

We know that , the equation of a line that passes through (a,b) and (c,d) is given by :_

(y-b)=\dfrac{d-b}{c-a}(x-a)

Standard form of equation of line = Ax+By=C

Given points =  (7, -3) and (4, -8)

Then, the equation of a line that passes through the points . (7, -3) and (4, -8) is given by -

(y-(-3))=\dfrac{-8-(-3)}{4-7}(x-7)

(y+3)=\dfrac{-8+3}{-3}(x-7)   [∵ (-)(-)=(+)]

(y+3)=\dfrac{-5}{-3}(x-7)

(y+3)=\dfrac{5}{3}(x-7)

3(y+3)=5(x-7)

3y+9=5x-35

9+35=5x-3y

44=5x-3y

Or 5x-3y=44

Hence, the required equation :-5x-3y=44

4 0
3 years ago
Vern has just opened a flower shop. Because of the startup costs, for the next month his net earnings for each bouquet are −$2.5
Basile [38]

Answer:

-$200

Step-by-step explanation:

Given that:

Net earning per bouquet for the month= - $2.50

On a particular day of the month, 20 bouquet was sold ;

Net earning for the day:

Net earning per bouquet * number of bouquet

-$2.50 * 80

= $200

Hence, net earning for Tuesday = - $200

6 0
3 years ago
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