3 years ago

[(30 + 6) − 32] ÷ 9 ⋅ 2?

1 answer:

3 0

The answer is 0.88889, because:
Order of Operations-
1) Add 30 plus 6 to get 36
2) Subtract 32 from 36 to get 4
3) Divide 4 by 9 to get 0.4444444
4) Multiply 0.4444444 by 2 to get 0.888889
Good luck! <3

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2 years ago

Write the following quotient in the form a+bi.<br> -7i/2-7i

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Answer:

$\large\boxed{\dfrac{49}{53}-\dfrac{14}{53}i}$

Step-by-step explanation:

$\text{Use}\\\\i=\sqrt{-1}\to i^2=-1\\\\(a-b)(a+b)=a^2-b^2\to(a-bi)(a+bi)=a^2+b^2\\\\\text{distributive property}\ a(b+c)=ab+ac\\---------------------\\\\\dfrac{-7i}{2-7i}=\dfrac{-7i}{2-7i}\cdot\dfrac{2+7i}{2+7i}=\dfrac{-7i(2+7i)}{2^2+7^2}=\dfrac{(-7i)(2)+(-7i)(7i)}{4+49}\\\\=\dfrac{-14i-49i^2}{53}=\dfrac{-14i-49(-1)}{53}=\dfrac{-14i+49}{53}\\\\=\dfrac{49}{53}-\dfrac{14}{53}i$