Question

Find the distance between the points with given coordinates.

(w - 2, w) and (w, 4w)

a) √(4 + 3w^2)

b) √(4 + 9w^2)

c) √(-4 + 9w^2)

d) √(-4 + 3w^2)

Answer 1

distance formula

d = \[\sqrt{(x _{2}-x _{1})^{2}+(y _{2}-y _{1})^{2}}\]

Answer 2

squreroot (w - w-2)^2 + (4w-w)^2

w-w = 0 so it would be (-2)^2 = 4

and 4w-w = 3w then (3w)^2 = 9w^2

so the answer is squreroot 4+ 9w^2 ____> b)