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Find the distance between the points (10,9)(10,9) and (2,3)(2,3).\newline\newlineWrite your answer as a whole number or a fully simplified radical expression. Do not round.\newline\newline__\_\_ units

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Q. Find the distance between the points (10,9)(10,9) and (2,3)(2,3).\newline\newlineWrite your answer as a whole number or a fully simplified radical expression. Do not round.\newline\newline__\_\_ units
  1. Identify Points: We will use the distance formula to find the distance between the two points. The distance formula is (x2−x1)2+(y2−y1)2\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}. Let's identify our points as (x1,y1)=(10,9)(x_1, y_1) = (10, 9) and (x2,y2)=(2,3)(x_2, y_2) = (2, 3).
  2. Plug into Formula: Now we will plug the coordinates into the distance formula: (2−10)2+(3−9)2\sqrt{(2-10)^2 + (3-9)^2}.
  3. Calculate Differences: Calculate the differences: (2−10)=−8(2-10) = -8 and (3−9)=−6(3-9) = -6. Then square these differences: (−8)2=64(-8)^2 = 64 and (−6)2=36(-6)^2 = 36.
  4. Add Squared Differences: Add the squared differences: 64+36=10064 + 36 = 100.
  5. Take Square Root: Take the square root of the sum: 100=10\sqrt{100} = 10.

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