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Ray Of Light [21]
3 years ago
8

A point, beginning at (0,0), undergoes the following composition of translation. Write an ordered pair for the points final posi

tion. T<5,-7> and then T<-6,2>

Mathematics
1 answer:
Fiesta28 [93]3 years ago
8 0

Answer:

(-1,-5)

Step-by-step explanation:

Starting at (0,0), we perform the first translation:

T<5,-7> implies that we move the point 5 units to the right (in the x (horizontal) direction), and 7 units DOWN in the y <vertical) direction.

From there we do the second translation: T<-6,2>

which means: 6 units to the left (in the horizontal direction) which takes us to  "-1" for the x value, and 2 units up (vertical) which takes us to -5 for the y value.

Therefore the new location is (-1,-5)

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\underline{\underline{\large\bf{Solution:-}}}\\

\longrightarrowSince angle X and Y have a sum of 159

\implies \bf Y + X= 159 \_\_\_\_(1)

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\implies \bf Y - X = 43 \_\_\_\_(2)

<u>Adding Equation (1) and (2) </u>

\begin{gathered}\\\implies\quad \sf Y+X+Y-X = 159+43 \\\end{gathered}

\begin{gathered}\\\implies\quad \sf Y+Y + X-X = 202 \\\end{gathered}

\begin{gathered}\\\implies\quad \sf 2Y = 202 \\\end{gathered}

\begin{gathered}\\\implies\quad \sf Y = \frac{202}{2} \\\end{gathered}

\begin{gathered}\\\implies\quad \boxed{\sf {Y = 101 }} \\\end{gathered}

<u>Putting Y in eq (1)</u>

\begin{gathered}\\\implies\quad \sf X + 101 = 153 \\\end{gathered}

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\begin{gathered}\\\implies\quad \boxed{\sf{ X  = 52 }}\\\end{gathered}

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