Question

Which expression gives the distance between the points (2, 5) and (-4, 8)?

Answer 1

D between points (x1,y1) and (x2,y2) is
$D= \sqrt{(x2-x1)^2+(y2-y1)^2}$
given
(2,5) and (-4,8)

$D= \sqrt{(-4-2)^2+(8-5)^2}$
$D= \sqrt{(-6)^2+(3)^2}$
$D= \sqrt{36+9}$
$D= \sqrt{45}$
D=(√9)(√5)
D=3√5