Question
Given \( R(x, y)=(-x,-y) \) and \( Q(2,-5) \), what is \( R(Q) \)
Ask by Dunn Wade. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( R(Q) = (-2,\ 5) \)
Solution
To find \( R(Q) \), we start with the given functions and point:
- \( R(x, y) = (-x, -y) \)
- \( Q = (2, -5) \)
Applying \( R \) to \( Q \):
\[
R(Q) = R(2, -5) = (-2, 5)
\]
**Answer:** \( R(Q) = (-2,\ 5) \)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Mind Expander
To find \( R(Q) \), we need to apply the function \( R \) to the coordinates of the point \( Q(2, -5) \). According to the definition \( R(x, y) = (-x, -y) \), we can substitute \( x = 2 \) and \( y = -5 \): \[ R(2, -5) = (-2, -(-5)) = (-2, 5) \] Therefore, \( R(Q) = (-2, 5) \).
