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3 years ago

Multiplying two complex numbers involves ______.

Mathematics

2 answers:

Alenkasestr [34]3 years ago

8 0

Answer:

Multiplying a complex number by a real number

(x + yi) u = xu + yu i. In other words, you just multiply both parts of the complex number by the real number. For example, 2 times 3 + i is just 6 + 2i. Geometrically, when you double a complex number, just double the distance from the origin, 0.

binomial methods

Complex numbers use binomial methods of multiplication because unlike real numbers, imaginary numbers have two components.

So probably A. I sorry, but I need more information. Hope this helps

Step-by-step explanation:

makvit [3.9K]3 years ago

6 0

I just took the test and the answer that was right was d. scaling and rotation

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A cash box contains $74 made up of quarters, half-dollars, and one-dollar

Strike441 [17]

Answer:

25 one-dollar coins, 16 half-dollar coins, and 164 quarters

Step-by-step explanation:

First, set up equations based on the information given:

$0.25q+0.50h+1.00d=74$

$\displaystyle{h=\frac{3}{5}d+1}$

$q=4(d+h)$

Then, substitute q in the first equation with the expression from the third equation:

$0.25[4(d+h)]+0.50h+1.00d=74\\1d+1h+0.50h+1.00d=74\\2d+1.5h=74$

Next, substitute h in that equation with the expression from the second equation:

$\displaystyle{2d+1.5(\frac{3}{5}d+1)=74}$

$2d+0.9d+1.5=74\\2.9d+1.5=74$

Solve for d, the number of one-dollar coins:

$2.9d+1.5=74\\2.9d=72.5\\d=25$

Substitute 25 for d in the second equation to find h, the number of half-dollar coins:

$\displaystyle{h=\frac{3}{5}d+1}$

$\displaystyle{h=\frac{3}{5}(25)+1}$

$h=15+1\\h=16$

Substitute 25 for d and 16 for h in the third equation to find q, the number of quarters:

$q=4(d+h)\\q=4(25+16)\\q=4(41)\\q=164$

Then, verify that the coins total $74:

$0.25(164)+0.50(16)+1.00(25)=74\\41+8+25=74\\74=74\\\text{Check.}$

Next, verify that the number of half-dollar coins is one more than three-fifths of the number of one-dollar coins:

$\displaystyle{h=\frac{3}{5}d+1}$

$\displaystyle{16=\frac{3}{5}(25)+1}$

$16 = 15 + 1\\16 = 16\\\text{Check.}$

Finally, verify that the number of quarters is four times the number one-dollar and half-dollar coins together:

$q=4(d+h)\\164=4(25+16)\\164=4(41)\\164=164\\\text{Check.}$

6 0

3 years ago

Please help me with question 20. Thank you.

aleksley [76]

Answer:

B=208.72

Step-by-step explanation:

June 22

July: 22+ 22x (1+10%) = 46.2

Auq: 46.2+ 22 (1+10%) x (1+10%)= 72.82

Sep: 72. 82+ 22 (1+10%)³= 102.102

Oct: 102.102 + 22 x(1+10%)⁴= 134.3122

Nov: 134.3122 + 22×(1+10%)⁵= 169.74342

Dec:169.74342 +22(1×10%)⁶ =208.717762

=208.72

The calulation of Compound interest )

7 0

2 years ago

A store sells 6 bananas for $4. Determine how much it would cost to buy 15 bananas

Archy [21]

Answer:

$10

Step-by-step explanation:

Since 6 cost four dollars 3 would cost 2 dollars multiply 3 to get 15 bananas and 2 to get $10

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3 years ago

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I need help Plzz & Thank You .

Afina-wow [57]

${x50506}^{?}$

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3 years ago

Help meh plss :) i don't know the answer

3241004551 [841]

Answer:

33 1/3

Step-by-step explanation:

5 0

3 years ago

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