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What are the coordinate points of πΈβ² E'E
β²
if πΈ EE is translated left 40 and up 39 ? Click for Help Video
πΈ=(3,7) E=\left(3,7\right)E=(3,7)
Make sure that your answer is in parenthesis!
πΈβ²= E'=E
β²
=
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Answered by
GPT-4o mini
To find the coordinates of \( E' \) after translating \( E \) left by 40 units and up by 39 units, we start with the original coordinates of \( E \):
\[
E = (3, 7)
\]
1. **Translate left by 40**: This means we subtract 40 from the x-coordinate:
\[
x' = 3 - 40 = -37
\]
2. **Translate up by 39**: This means we add 39 to the y-coordinate:
\[
y' = 7 + 39 = 46
\]
Putting these together, the new coordinates \( E' \) after the translation are:
\[
E' = (-37, 46)
\]
Thus, the final answer is:
\[
E' = (-37, 46)
\]
\[
E = (3, 7)
\]
1. **Translate left by 40**: This means we subtract 40 from the x-coordinate:
\[
x' = 3 - 40 = -37
\]
2. **Translate up by 39**: This means we add 39 to the y-coordinate:
\[
y' = 7 + 39 = 46
\]
Putting these together, the new coordinates \( E' \) after the translation are:
\[
E' = (-37, 46)
\]
Thus, the final answer is:
\[
E' = (-37, 46)
\]
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