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Find the distance between the points (3,5)(3,5) and (9,5)(9,5).\newline____\_\_\_\_ units

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Full solution

Q. Find the distance between the points (3,5)(3,5) and (9,5)(9,5).\newline____\_\_\_\_ units
  1. Use distance formula: Use the distance formula (x2−x1)2+(y2−y1)2\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}. Here, (x1,y1)=(3,5)(x_1, y_1) = (3, 5) and (x2,y2)=(9,5)(x_2, y_2) = (9, 5).
  2. Calculate x2x^2: Calculate (x2−x1)2(x_2-x_1)^2: (9−3)2=62=36(9-3)^2 = 6^2 = 36.
  3. Calculate y2y^2: Calculate (y2−y1)2(y_2-y_1)^2: (5−5)2=02=0(5-5)^2 = 0^2 = 0.
  4. Add results: Add the results from the previous steps: 36+0=3636 + 0 = 36.
  5. Take square root: Take the square root of the sum: 36=6\sqrt{36} = 6.

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