What kind of transformation is illustrated in this figure?

Mathematics

2 answers:

Alinara [238K]3 years ago

6 0

Answer;

-Translation

Explanation;

-Any image in a plane could be altered by using different operations, or transformations. Translation is when we slide a figure in any direction.

-Translation involves sliding a figure in any direction without changing its size, shape or orientation.Translations are often referred to as slides. You can describe a translation using words like "moved up 3 and over 5 to the left" or with notation.

ad-work [718]3 years ago

3 0

The answer is a) translation, because only its position and not size or rotation changed and it also wasn't reflected

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Write an equation for the following: y varies directly with x and z. Find K when x=2, y=12 and z=5.

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$\qquad \qquad \textit{direct joint variation} \\\\ \textit{\underline{y} varies directly with \underline{x} and \underline{z}}~\hspace{8.5em} \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}xz~\hfill } \\\\ \textit{\underline{y} varies directly with \underline{x}, }w^2\textit{ and }z^5~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}xw^2z^5~\hfill } \\\\[-0.35em] ~\dotfill$

$y = kxz\qquad \textit{we know that} \begin{cases} x=2\\ y=12\\ z=5 \end{cases}\implies 12=k(2)(5) \\\\\\ \cfrac{12}{(2)(5)}=k\implies \cfrac{6}{5}=k~\hspace{10em}\boxed{y=\cfrac{6}{5}xz}$