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Find the distance between the points (0,0)(0,0) and (3,4)(3,4).\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 (0,0)(0,0) and (3,4)(3,4).\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 (0,0)(0,0) and (3,4)(3,4). 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.\newlineDistance: (3−0)2+(4−0)2\sqrt{(3-0)^2 + (4-0)^2}
  3. Calculate Squares of Differences: Calculate the squares of the differences.\newline(3−0)2=32=9(3-0)^2 = 3^2 = 9\newline(4−0)2=42=16(4-0)^2 = 4^2 = 16
  4. Add Squares of Differences: Add the squares of the differences. 9+16=259 + 16 = 25
  5. Find Distance: Take the square root of the sum to find the distance. 25=5\sqrt{25} = 5

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