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3 years ago

What is the product of ( 4 + 3 i ) and ( 12 − 2 i )

Mathematics

1 answer:

Morgarella [4.7K]3 years ago

3 0

Answer:

Step-by-step explanation:

(4+3i)(12-2i)

48 - 8i + 36i - 6i^2

48 + 28i +6

54 + 28i

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What is a way to find what 7 is what percent of 20 and I can't use a percent bar model?

Viefleur [7K]

Answer:

you can cross multiply or u can 7/20 to get the answer that 7 is 35% of 20

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3 years ago

Find two consecutive odd integers such that the sum of the first and three times the second is 98

Mrac [35]

Answer:

23 and 25

Step-by-step explanation:

x and x+2

x+3(x+2)=98

x+3x+6=98

4x=92

x=23

x+2=25

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3 years ago

What is 4 pi cubed divided by 3

zloy xaker [14]

<span>52.6378901393 should be correct.</span>

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4 years ago

Find the product of z1 and z2, where z1 = 7(cos 40° + i sin 40°) and z2 = 6(cos 145° + i sin 145°).

Oduvanchick [21]

For two complex numbers $z_1=re^{i\theta}=r(\cos\theta+i\sin\theta)$ and $z_2=se^{i\varphi}=s(\cos\varphi+i\sin\varphi)$ , the product is

$z_1z_2=rse^{i(\theta+\varphi)}=rs(\cos(\theta+\varphi)+i\sin(\theta+\varphi))$

That is, you multiply the moduli and add the arguments. You have $z_1=7e^{i40^\circ}$ and $z_2=6e^{i145^\circ}$ , so the product is

$z_1z_2=7\times6(\cos(40^\circ+145^\circ)+i\sin(40^\circ+145^\circ)=42(\cos185^\circ+i\sin185^\circ)=42e^{i185^\circ}$

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3 years ago

Read 2 more answers

In a class of 6, there are 2 students who forgot their lunch.

Mazyrski [523]

Answer:

the answer is 2.78 percent

5 0

2 years ago