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astraxan [27]
3 years ago
15

Which number line shows the solution to the inequality? y-2 <-5

Mathematics
1 answer:
spin [16.1K]3 years ago
4 0
I think it would be A.
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Simplify 3 divided by 5-6i
Shtirlitz [24]

Answer:

\frac{15}{61}+\frac{18}{61}i

Step-by-step explanation:

\frac{3}{5-6i}

To simplify or to write in the form a+bi, you will need multiply the top and bottom by the bottom's conjugate like so:

\frac{3}{5-6i} \cdot \frac{5+6i}{5+6i}

Keep in mind when multiplying conjugates you only have to multiply first and last.

That is the product of (a+b) and (a-b) is (a+b)(a-b)=a^2-b^2.

(a+b) and (a-b) are conjugates

Let's multiply now:

\frac{3}{5-6i} \cdot \frac{5+6i}{5+6i}=\frac{3(5+6i)}{25-36i^2}

i^2=-1

\frac{15+18i}{25-36(-1)}

\frac{15+18i}{25+36}

\frac{15+18i}{61}

\frac{15}{61}+\frac{18}{61}i

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