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vodka [1.7K]
2 years ago
14

Factorize 3ac-6ad-2bc+4bd​

Mathematics
1 answer:
KatRina [158]2 years ago
7 0

Answer:

(c - 2d) (3a - 2b)

Step-by-step explanation:

if you need the steps just ask me in the comments and I’ll type them lol

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Which of the following answers is the value of x in this equivalent fraction?
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Expres each complex number in polar form. State the arguments in radians rounded to the nearest thousandth.
Arlecino [84]

Answer:

(a) In polar form complex number will be 5.3851\angle 68.1985^{\circ} and in radian argument is 0.378π

(b) 6.0827\angle -9.46^{\circ}

angle will be 0.05255π

Step-by-step explanation:

We have given

(a) 2+5i

We have to represent in polar form

We know that magnitude is given by \sqrt{(real\ part)^2+(imaginary\ part)^2}=\sqrt{2^2+5^2}=\sqrt{29}

Argument is given by tan^{-1}\frac{imaginary\ part}{real\ part}=tan^{-1}\frac{5}{2}=68.198

So in polar form complex number will be 5.3851\angle 68.1985^{\circ}

In radian argument will be 68.1985\times \frac{\pi }{180}=0.378\pi

(b) We have given complex number -6+i

We know that magnitude is given by \sqrt{(real\ part)^2+(imaginary\ part)^2}=\sqrt{(-6)^2+1^2}=\sqrt{37}

Argument is given by tan^{-1}\frac{imaginary\ part}{real\ part}=tan^{-1}\frac{1}{-6}=-9.46

So in polar form complex number will be 6.0827\angle -9.46^{\circ}

In radian argument will be -9.46\times \frac{\pi }{180}=-0.05255\pi

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4 years ago
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