Mathematics: Algebra 2 question urgent simplify the expression the root of negative sixteen all over the quantity of three minus three i plus the quantity of one minus two i. answer choices a. the quantity of negative twenty minus sixteen i all over nine. b. the quantity of eight plus four i all over fifteen. c. the quantity of eight minus four i all over fifteen. d. the quantity of negative twenty plus sixteen i all over forty one.

P(3) = 1/8P(5)=1/8Events are independent.P(3, then 5) = 1/8 *1/8 =1/16Answer is 1/16....

Algebra 2 question urgent simplify the expression

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14.03.2022

d. the quantity of negative twenty plus sixteen i all over forty one.

Step-by-step explanation:

We want to simplify the complex number:

$\frac{\sqrt{-16} }{(3-3i)+(1-2i)}$

We rewrite to obtain:

$\frac{\sqrt{16}\times \sqrt{-1} }{(3+1)+(-3i-2i)}$

Recall that: $\sqrt{-1}=i$ and -1=i^2

We simplify to get:

$\frac{4i}{4-5i}$

We rationalize to get:

$\frac{4i}{4-5i}\times\frac{4+5i}{4+5i}$

$\frac{4i(4+5i)}{(4-5i)(4+5i)}$

$\frac{16i+20i^2}{4^2+5^2}$

$\frac{16i-20}{16+25}$

$\frac{-20+16i}{41}$

The correct answer is D

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