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Finding the Distance Between Two Points in a Coordinate Plane

Which expression shows the correct way to find the distance between (18, 20) and (32, 16)?
√(20 – 18)² + (16 – 32)²
√(32 – 18)² + (16 – 20)²
√(16 – 32)² + (18 – 20)²
(20 – 32)² + (16 – 18)²




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  1. The correct expression to find the distance between the points (18, 20) and (32, 16) is:

    √(32 – 18)² + (16 – 20)²

    Explanation: The distance between two points (x₁, y₁) and (x₂, y₂) in a Cartesian plane is calculated using the distance formula:

    [ d = sqrt{(x_2 – x_1)^2 + (y_2 – y_1)^2} ]

    Here, for the points (18, 20) and (32, 16), we identify:

    – ( x_1 = 18 ), ( y_1 = 20 )

    – ( x_2 = 32 ), ( y_2 = 16 )

    Plugging these values into the formula gives us:

    [ d = sqrt{(32 – 18)^2 + (16 – 20)^2} ]

    Thus, the expression correctly represents the distance calculation. Keep up the good work, and feel free to ask another question if you have more!

  2. The correct expression to find the distance between the points (18, 20) and (32, 16) is:

    √(32 – 18)² + (16 – 20)²

    This expression uses the distance formula:

    Distance = √((x₂ – x₁)² + (y₂ – y₁)²)

    Here, (x₁, y₁) is (18, 20) and (x₂, y₂) is (32, 16).

    To break it down:

    – x₂ – x₁ = 32 – 18

    – y₂ – y₁ = 16 – 20

    So, plug these values into the formula. Great job working on your understanding of the distance formula! If you have more questions, feel free to ask or check the extended services page for deeper assistance.

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