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2 years ago

9

Simplify 1/4y + 1 1/2 +2- 1 3/4y-12

1 answer:

Llana [10]2 years ago

6 0

First you turn the mixed fraction into an improper fraction and work out 2-13 :
1/4y + 3/2 + - 11/4y-12
Then factorise :
1/4y + 3/2 - 11/4(y-3)
Then factor out y :
Y(y-3)+6(y-3)-11 / 4(y-3)
Then expand :
Y^2-3y+6y-18-11 / 4y-12
Simplify for your final answer :
y^2+3y-29 / 4y-12

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3 years ago

trasher [3.6K]

Answer:

See explanation

Step-by-step explanation:

The given complex number are:

$z_1=-3\sqrt{3}+3i$

and

$z_2=6\cos 150\degree+6i\sin 150\degree$

When we rewrite $z_1=-3\sqrt{3}+3i$ in complex form, we obtain;

$z_1=r(\cos \theta+i\sin \theta)$

where

$r=\sqrt{(-3\sqrt{3})^2+3^2 }=\sqrt{36}=6$

and

$\theta=tan^{-1}(\frac{y}{x})$

$\implies \theta=tan^{-1}(\frac{-3\sqrt{3}}{3})=150\degree$

Hence,

$z_1=6(\cos 150\degree+i\sin 150\degree)$

$z_1=6\cos 150\degree+6i\sin 150\degree$

Hence

$z_1=z_2$

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3 years ago