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Find the distance between the points (0,10)(0,10) and (3,6)(3,6).\newlineWrite your answer as a whole number or a fully simplified radical expression. Do not round.\newline______ units

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Q. Find the distance between the points (0,10)(0,10) and (3,6)(3,6).\newlineWrite your answer as a whole number or a fully simplified radical expression. Do not round.\newline______ units
  1. Identify Coordinates and Formula: Identify the coordinates of the two points and the distance formula.\newlineThe coordinates are given as (0,10)(0,10) for the first point and (3,6)(3,6) for the second point. The distance formula is ((x2−x1)2+(y2−y1)2)\sqrt{((x_2-x_1)^2 + (y_2-y_1)^2)}.
  2. Substitute into Formula: Substitute the coordinates into the distance formula.\newlineUsing the points (0,10)(0,10) and (3,6)(3,6), we get:\newlineDistance =(3−0)2+(6−10)2= \sqrt{(3-0)^2 + (6-10)^2}
  3. Calculate and Square Differences: Calculate the differences and square them.\newlineCalculate (3−0)2(3-0)^2 and (6−10)2(6-10)^2:\newline(3−0)2=32=9(3-0)^2 = 3^2 = 9\newline(6−10)2=(−4)2=16(6-10)^2 = (-4)^2 = 16
  4. Add and Find Square Root: Add the squares and find the square root.\newlineNow we add the squares from the previous step:\newline9+16\sqrt{9 + 16}\newline25\sqrt{25}\newlineThe square root of 2525 is 55.

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