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Plot the points in the coordinate plane. Then, find the distance between the two points.2. A( 3, 4) and B(1, 1)3. R( 4, 2) and (9, 3)

Question

Plot the points in the coordinate plane. Then, find the distance between the two points.

  1. A( 3, 4) and B(1, 1)
  2. R( 4, 2) and (9, 3)
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Solution

Sure, let's go step by step:

  1. Plotting the points:

    For point A(3,4), you move 3 units to the right on the x-axis and 4 units up on the y-axis.

    For point B(1,1), you move 1 unit to the right on the x-axis and 1 unit up on the y-axis.

    For point R(4,2), you move 4 units to the right on the x-axis and 2 units up on the y-axis.

    For the unnamed point (9,3), you move 9 units to the right on the x-axis and 3 units up on the y-axis.

  2. Finding the distance:

    The distance between two points (x1, y1) and (x2, y2) can be found using the distance formula: √[(x2-x1)² + (y2-y1)²]

    So, the distance between A(3,4) and B(1,1) is √[(1-3)² + (1-4)²] = √[(-2)² + (-3)²] = √[4 + 9] = √13 units.

    The distance between R(4,2) and (9,3) is √[(9-4)² + (3-2)²] = √[5² + 1²] = √[25 + 1] = √26 units.

This problem has been solved

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