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4 years ago

please help me The question involves multiplying two complex numbers, then turning it into an a+bi equation (pictures included)

Mathematics

1 answer:

Sloan [31]4 years ago

8 0

Answer:

(a, b) = (0, -15)

Step-by-step explanation:

In "cis" form the product of two complex numbers is the product of their magnitudes at the angle that is the sum of their angles. I find this the easiest way to multiply complex numbers.

z1 × z2 = (3 cis π)(5 cis π/2)

= (3·5) cis (π +π/2)

= 15 cis 3π/2

Of course, "cis" is short for "cosine + i·sine", so you have ...

z1 × z2 = 15 cis 3π/2 = 15(cos(3π/2) +i·sin(3π/2))

= 15(0 +i·(-1))

= 0 -15i

(a, b) = (0, -15)

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The area of a rectangle, A = l • w is represented by the expression 24x6y15. Which could be the dimensions of the rectangle?

Charra [1.4K]

Answer:

l= $24\*x^{6}$

w= $y^{15}$

Step-by-step explanation:

We know that the area of rectangle can be determined by the multiply the length to the width i.e

A = l • w..................Eq(1)

Here A represented the area .

l= Length of rectangle

w= Width of rectangle

Here A= $24x^{6} y^{15}$ ...

It can be written as $A= 24x^{6} \ *y^{15}$ ..............Eq(2)

Comparing the Eq(2) to the Eq(1)

$l=24x^{6}\\ w=y^{15}$

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3 years ago

We need a flower garden with a perimeter of 16 feet and an area of 12 square feet what is the length and width.

solmaris [256]

Answer:

Length = 2 feet

Width = 6 feet

Step-by-step explanation:

Let the length of a flower garden = l feet

And the width of the garden = w feet

Perimeter of the rectangular garden = 2(l + w)

16 = 2(l + w)

l + w = 8

l = 8 - w ---------(1)

Area of the rectangular garden = lw

12 = lw ---------(2)

By substituting the value of length in equation (2)

12 = (8 - w)w

12 = 8w - w²

w² - 8w + 12 = 0

w² - 6w - 2w + 12 = 0

w(w - 6) + 2(w - 6) = 0

(w + 2)(w - 6) = 0

w = -2, 6 feet

Since, width of the garden can't be negative.

Therefore, Width of the garden = 6 feet

From equation (1)

l = 2 feet

Therefore, length of the garden is 2 feet and width is 6 feet.

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3 years ago

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Hunter-Best [27]

Answer:

753.6

Step-by-step explanation:

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4 years ago

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Serggg [28]

<u>Answer:</u>

$-24a^3b^7$

<u>Step-by-step explanation:</u>

We are given the following expression and we are to find its product:

$(3a^2b^4)(-8ab^3)$

Here, we need to recall the the product rule according to which the exponents are added when you multiply two powers that have the same base.

So here the powers of $a$ and $b$ will be added to their powers to give:

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3 years ago

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matrenka [14]

Answer:

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Step-by-step explanation:

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