Question

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

Answer 1

Answer:

5

Step-by-step 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

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