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Damm [24]
3 years ago
10

What is the basic principle in multiplication of complex numbers?

Mathematics
1 answer:
Naily [24]3 years ago
4 0
When dividing two complex numbers on rectangular form we multiply the numerator and denominator by the complex conjugate of the denominator, because this effectively turns the denominator into a real number and the numerator becomes a multiplication of two complex numbers, which we can simplify.
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the length of a rectangle is 4a + 5, the width of the same rectangle is 2a -3 if the perimeter of the rectangle is 76 what is th
viktelen [127]

Answer:

Here

perimeter=76

length =4a+5

breadth=2a-3

we know,

perimeter=2(length+breadth)

76=2(4a+5+2a-3)

76=2(7a+2)

76=14a+4

76-4=14a

72=14a

72÷14=a

a=5.14

7 0
2 years ago
3a + b/a + 4a<br> if a= 4 and b= -12
Feliz [49]
Replace a with 4 and b with -12

3(4) + -12/4 + 4(4) = 16+-12/4+4*4 = 29
7 0
3 years ago
Fine slope intercept form <br> y = x+7 (2, 3)<br> Help please and thanks
Dimas [21]

Answer:

y=x7 X 5

Step-by-step explanation:

6 0
3 years ago
a bag contains 10 white gold balls and 6 striped golf balls. a golfer wants to add 112 golf balls to the bag. he wants the ratio
wolverine [178]

Answer:70 white golf balls and 42 striped golf balls

Step-by-step explanation:

First we find the ratio of white to striped balls

White golf balls = 10

Striped golf balls = 6

Ratio = 10/6 = 5/3

We are told a golfer wants to add extra 112 balls to the already 16 balls

And the ratio after adding 112 balls must stay the same

First we label the extra golf balls to be added x and y

x = white golf balls

y = striped golf balls

So since we know the 112 balls added is a combination of the extra white golf balls and striped golf balls, we create an equation for that, labelling it (1)

x + y = 112 (1)

And we are told that after putting these extra balls the ratio must remain the same, which is 5/3

which will be (10 white balls + x) divided by (6 striped ball + y) will be equals to 5/3

So we create another equation for this, labelling it (2)

(10+x)/(6+y) = 5/3 (2)

So we have two simultaneous equations

We pick (1)

x + y = 112

We either make x or y the subject of formula, I choose to make x the subject of formula, we label the equation (3)

take y to the other side, causing it to change to -y

x = 112 - y (3)

We then work with (2)

(10+x)/(6+y) = 5/3

We cross multiply

3(10+x) = 5(6+y)

We open the brackets

Making the equation simplified and labelling it (4)

30 +3x = 30 + 5y

Collect like terms

3x -5y = 30-30

3x -5y = 0 (4)

Remember from (3) we know that

x = 112 -y

So we put (3) in (4)

3(112 - y) - 5y = 0

Open bracket

336 -3y -5y =0

336 -8y = 0

Transfer -8y to the other side, changing to +8y

336 = 8y

Divide both sides by 8

336/8 = y

42 = y

y = 42

from (3) we know that x equals 112 - y

So we put y = 42 in (3)

x = 112 - y

x = 112 -42 = 70

x = 70

So therefore number of white golfs balls and striped golfs balls to be added to keep the same ratio is 70 and 42 respectively

4 0
3 years ago
A cupcake shop uses 1/3 pounds of cinnamon to make 4 batches. How much do they use per batch?
tiny-mole [99]
1/12 of a pound.
you must use the reciprocal of 4, 1/4, then multiply. so 1/3*1/4= 1/12
5 0
3 years ago
Read 2 more answers
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