3 years ago

Which of the following is a solution of the equation x2−13x+40=0? f -8 g 4 h 10 j 5

Mathematics

1 answer:

Andreyy893 years ago

7 0

Answer:

Step-by-step explanation:

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Which of the following is equivalent to 75/4 A- 18 3/18 B- 18 3/4 C- 71 D- 79

sattari [20]

B.
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5 0

4 years ago

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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

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