Find the distance between the points to the nearest tenth... MUST SHOW WORK!

  1. J (2, -1), K (2, 5)
  2. L (10, 14), M (-8, 14)
  3. N (-1, 11), P (-1, -3)
  4. A (0,3), B (0, 12)
  5. C (12, 6) D (-8, 18)
  6. E (6, -2) F (-2, 4)
  7. Q (12, -12), T (5, 12)
  8. R (00,5), S (12, 3)
  9. X (-3, -4) Y (5, 5)

Verified Answer :

For J (2, -1), K (2, 5)
\(d= \sqrt{(x_2-x_1)^2+(y_2-y_1)} \\ = \sqrt{(2 - 2)^2+(5-(-1))^2} \\ = \sqrt{0^2+(5+1)^2} = \sqrt{6^2} \\ = \sqrt{36} =6\)

For L (10, 14), M (-8, 14)
 \(d= \sqrt{(-8 - 10)^2+(14-14))^2} \\ = \sqrt{(-18)^2+0^2} = \sqrt{324} \\ = 18\)