∆XYZ has vertices X(0, 3), Y(2, 0), and Z(4, 2). If you reflect ∆XYZ across the line x = 4, what will be the coordinates of the vertices of the image ∆X′Y′Z′?

X′(4, 3), Y′(2, 0), and Z′(4, 2)

X′(8, 3), Y′(6, 0), and Z′(4, 2)

X′(3, 0), Y′(0, 2), and Z′(2, 4)

X′(4, 3), Y′(6, 0), and Z′(4, 2)

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Ответ:

gonzalesrosalinda66

13.09.2021

Mathematics

A = nuts of $2/lb

B = nuts of $7/lb

let's say we'll mix "x" lbs of B to get a mixture with A of "y" lbs, therefore

$\bf \begin{array}{lcccl} &\stackrel{lbs}{quantity}&\stackrel{\textit{cost}}{per~lb}&\stackrel{\textit{cost}}{total}\\ \cline{2-4}&\\ A~ nuts&50&2&100\\ B~nuts&x&7&7x\\ \cline{2-4}&\\ mixture&y&6&6y \end{array} \\\\\\ \begin{cases} 50+x=\boxed{y}\\ 100+7x=6y \end{cases}\qquad \qquad \implies 100+7x=6\left( \boxed{50+x} \right) \\\\\\ 100+7x=300+6x\implies \blacktriangleright x=200 \blacktriangleleft$

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