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Find the distance between the points (0,0)(0,0) and (4,3)(4,3).\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 (4,3)(4,3).\newlineWrite your answer as a whole number or a fully simplified radical expression. Do not round.\newline______ units
  1. Distance Formula: To find the distance between the points (0,0)(0,0) and (4,3)(4,3), we use the distance formula: (x2−x1)2+(y2−y1)2\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}. Here, (x1,y1)=(0,0)(x_1 , y_1) = (0 , 0) and (x2,y2)=(4,3)(x_2 , y_2) = (4 , 3).
    Distance: (4−0)2+(3−0)2\sqrt{(4-0)^2 + (3-0)^2}
  2. Calculate (4−0)2(4-0)^2: Calculate (4−0)2(4-0)^2:(4−0)2(4-0)^2=(4)2= (4)^2=16= 16
  3. Calculate (3−0)2(3-0)^2: Calculate (3−0)2(3-0)^2:$3−0)2\$3-0)^2=(3)2= (3)^2=9= 9
  4. Find Distance: Add the squares of the differences and take the square root to find the distance: 16+9\sqrt{16 + 9} 25\sqrt{25} =5= 5

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