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6* If T(h,k)(4, 2) = (7,-5), what point is (h, k)?

6* If T(h,k)(4, 2) = (7,-5), what point is (h, k)?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Problem 6**: If \( T_{(h,k)}(4, 2) = (7, -5) \), what point is \((h, k)\)? This problem asks you to find the point \((h, k)\) given that a transformation \( T_{(h,k)} \) maps the point \((4, 2)\) to \((7, -5)\). **Explanation**: - This transformation appears to involve adding some values \((h, k)\) to the original coordinates \((4, 2)\) to get \((7, -5)\). - The equations from the transformation can be set up as: - \(4 + h = 7\) - \(2 + k = -5\) - Solving these equations will give you the values of \(h\) and \(k\).
Transcribed Image Text:**Problem 6**: If \( T_{(h,k)}(4, 2) = (7, -5) \), what point is \((h, k)\)? This problem asks you to find the point \((h, k)\) given that a transformation \( T_{(h,k)} \) maps the point \((4, 2)\) to \((7, -5)\). **Explanation**: - This transformation appears to involve adding some values \((h, k)\) to the original coordinates \((4, 2)\) to get \((7, -5)\). - The equations from the transformation can be set up as: - \(4 + h = 7\) - \(2 + k = -5\) - Solving these equations will give you the values of \(h\) and \(k\).
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