Mathematics: Find the midpoint of the segment with endpoints of (3.2, 2.5) and (1.6, -4.5) and enter its coordinates as an ordered pair. if necessary, express coordinates as decimals.

Hey there,First, find the square root of the given equation.Keep in mind that this is solved for k = 0 and 1.Second, simplify.Best of Luck!...

Find the midpoint of the segment with endpoints

Ответ:

brandonkelly104

15.03.2022

Mathematics

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points }\\ \quad \\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~{{ 3.2}} &,&{{ 2.5}}~) 
% (c,d)
&&(~{{ 1.6}} &,&{{ -4.5}}~)
\end{array}\qquad
% coordinates of midpoint 
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)
\\\\\\
\left( \cfrac{1.6+3.2}{2}~~,~~\cfrac{-4.5+2.5}{2} \right)\implies \left( \cfrac{4.8}{2}~~,~~\cfrac{-2.0}{2} \right)\implies (2.4~,-1)$

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Ответ:

yo2lo15

08.09.2022

Mathematics

Hey there,

First, find the square root of the given equation.

$\sqrt{z}=\sqrt{81(\text{cos}(\frac{4\pi}{9})+i\text{sin}(\frac{4\pi}{9})}\\=9\text{cos}\frac{1}{2}(2k\pi+(\frac{4\pi}{9}))+i\text{sin}\frac{1}{2} (2k\pi+(\frac{4\pi}{9}))$

Keep in mind that this is solved for k = 0 and 1.

Second, simplify.

$=9\text{cos}(\frac{2\pi}{9})+i\text{sin}(\frac{2\pi}{9})~\text{or}~9\text{cos}(\frac{11\pi}{9})+i\text{sin}(\frac{11\pi}{9})$

Best of Luck!

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Find the midpoint of the segment with endpoints of (3.2, 2.5) and (1.6, -4.5) and enter its coordinates as an ordered pair. if necessary, express coordinates as decimals.

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