Question
12. Use the ordered pair transtation rule \( (x, y) \Rightarrow(x=4, y+5) \) to find the image of \( (10,1) \). Type an ordered pair for the image. \( \square \) (Type an ordered pair.)
Ask by Bush Reyes. in the United States
Feb 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The image of (10, 1) is (4, 6).
Solution
The ordered pair translation rule indicates that any point (x, y) is transformed into (4, y + 5). To find the image of (10, 1):
1. The first coordinate is replaced with 4.
2. The second coordinate becomes 1 + 5, which is 6.
Thus, the image of (10, 1) is (4, 6).
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Simplify this solution Extra Insights
To apply the translation rule \( (x, y) \Rightarrow (x=4, y+5) \) to the point \( (10, 1) \), we notice that \( x \) is replaced by 4, while \( y \) is adjusted by adding 5 to the original \( y \)-coordinate. So, the x-coordinate becomes 4, and the new y-coordinate is \( 1 + 5 = 6 \). Thus, the image of the point \( (10, 1) \) is \( (4, 6) \). So, the final answer is: \( (4, 6) \).
