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Determine the angle between the lines y = 2x + 1 and y = -1/2x + 3. (2021)

Practice Questions

1 question
Q1
Determine the angle between the lines y = 2x + 1 and y = -1/2x + 3. (2021)
  1. 90 degrees
  2. 45 degrees
  3. 60 degrees
  4. 30 degrees

Questions & Step-by-step Solutions

1 item
Q
Q: Determine the angle between the lines y = 2x + 1 and y = -1/2x + 3. (2021)
Solution: The slopes are m1 = 2 and m2 = -1/2. The angle θ = tan⁻¹(|(m1 - m2) / (1 + m1*m2)|) = tan⁻¹(5/3), which is approximately 90 degrees.
Steps: 0

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