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Jet001 [13]
2 years ago
15

How do you Multiply Complex Numbers? I used a calculator that shows work and it mentioned something called the foil method which

gave -20+16i+15i+12 when I put (4-3i)(-5+4i). What is the foil method
Mathematics
1 answer:
lisabon 2012 [21]2 years ago
7 0

The FOIL method is the formula that is used when multiplying 2 binomials, where

(a+b)(c+d) = a(c+d) + b(c+d) =  ac + ad + bc + bd

Using the formula above, apply the foil method.

4(-5+4i) - 3i(-5+4i)

4(-5) + 4(4i) + (-3i(-5)) + (-3i(4i))

-20 + 16i + (15i) + (-12i^2)

-20 + 16i + 15i - 12i^2

Since i^2 = -1, then

-20 + 16i + 15i - 12(-1)

-20 + 16i + 15i + 12

Hope this helps.

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In a box there are six envelopes each containing two cards. Three of the envelopes contain two red cards, two of them contain a
Sphinxa [80]

Answer:

\frac{2}{5}

Step-by-step explanation:

3 envelopes having 2 red card

2 envelopes having 1 red card and 1 black card

1 envelope having 2 black cards

We are given that . An envelope is selected at random and a card is withdrawn and found to be red.

So, No. of ways of envelope having red card = 3+2 = 5

No. of required ways of envelope having 1 red card and 1 black card = 2

So, probability of getting an envelope having 1 red card and 1 black card = \frac{2}{5}

Hence The chance the other card is black is \frac{2}{5}

5 0
2 years ago
What is the value of the digit 4 in the number 524897123
Katen [24]
The value of 4 in 524897123 is: 4,000,000
6 0
3 years ago
Read 2 more answers
1/5 of a box of erasers and youneed to share with 3 people including yourself what fraction of the box would each person get
CaHeK987 [17]
1 1. 1
— x. — = —
4. 5. 20

1/20 is the answer
8 0
3 years ago
Solve for x^2 +11 + 121/4 = 125/4 for x
Ratling [72]
I hope this helps you



x^2 =125/4-121/4-11


x^2=4/4-11


x^2=1-11


x^2= -10


x= i.square root of 10
5 0
3 years ago
Using the net below, find the surface area
polet [3.4K]

Answer:

56 cm^2

Step-by-step explanation:

Surface area is just finding the areas of each face in a figure. As we are given a net of a figure, it is much easier for us to calculate it.

Area of square base (side^2)

4^2 = 16 cm^2

Area of ONE triangular face (1/2 x b x h):

1/2 x 4 x 5 = 10 cm^2

Multiply that by 4 because we have 4 triangular faces: 10 cm^2 x 4 = 40 cm^2

ADD all the areas of triangles and square:

16 cm^2 + 40 cm^2 = 56 cm^2

HOPE THIS HELPS

Have a nice day!

4 0
2 years ago
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