Question

The distance between the point P(1, 4) and Q(4, 0) is ____.
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Answer 1

5

Explanation:

The distance between any two points (x₁, y₁) and (x₂, y₂) is given by the distance formula:

`d = \sqrt {(x_(2) - x_(1))^2 + (y_(2) - y_(1))^2}`

(x₁, y₁) = (1, 4) and (x₂, y₂) = (4, 0)

So distance is

`d = \sqrt {(4 - 1)^2 + (0 - 4)^2}\\\\d = \sqrt {(3)^2 + (-4)^2}\\\\d = \sqrt {(3)^2 + (-4)^2}\\\\d = \sqrt {25}\\\\d = 5`