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Find the distance between the points (9,9)(9,9) and (6,5)(6,5).\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 (9,9)(9,9) and (6,5)(6,5).\newline\newlineWrite your answer as a whole number or a fully simplified radical expression. Do not round.\newline\newline__\_\_ units
  1. Distance Formula: To find the distance between two points, we use the distance formula: (x2x1)2+(y2y1)2\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}. For the points (9,9)(9,9) and (6,5)(6,5), we have (x1,y1)=(9,9)(x_1, y_1) = (9, 9) and (x2,y2)=(6,5)(x_2, y_2) = (6, 5).\newlineDistance: (69)2+(59)2\sqrt{(6-9)^2 + (5-9)^2}
  2. Calculate (69)2(6-9)^2: Calculate (69)2(6-9)^2:
    (69)2(6-9)^2
    = (3)2(-3)^2
    = 99
  3. Calculate (59)2(5-9)^2: Calculate (59)2(5-9)^2:
    (59)2(5-9)^2
    = (4)2(-4)^2
    = 1616
  4. Add Squares and Square Root: Now, add the squares of the differences and take the square root: 9+16\sqrt{9 + 16} 25\sqrt{25} =5= 5

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