Aladder is leaning against a wall. the top of the ladder is 9 feet (ft) above the ground. if the bottom of the ladder is moved 3ft farther from the wall, the ladder will be lying flat on the ground, still touching the wall. how long, in feet, is the ladder?

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Ответ:

vampirelover709chc

13.09.2022

Mathematics

$\frac{1}{2} +\frac{5i}{2}$

Step-by-step explanation:

Complex conjugate:

a+bi → a-bi

Multiply top and bottom by the complex conjugate of the denominator:

$\frac{-2i(-5+i)}{-2i(2i)} \\\\\frac{10i-2i^2}{-4i^2}$

The imaginary unit is the complex number whose square is -1. So, i^2=-1 , and $i=\sqrt{-1}$ . Simplify:

$\frac{10i+2}{4}$

Factor out the common term 2:

$\frac{5i+1}{2}$

Rearrange to fit the form a+bi :

$\frac{1}{2} +\frac{5i}{2}$

:Done

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