Question

which expression represents the distance between point (0,a) and point (a,0) on a corrdinate grid?

Answer 1

Answer:

The distance between two points $(x1, y1)$ and $(x2, y2)$, would be:

$D = \sqrt{(x2 - x1)^2 + ( y2 - y1)^2}$

So, for (0,a) and (a, 0), would be:

$D = \sqrt{(a-0)^2 + (0-a)^2}$

-Then, you solve:

$D = \sqrt{(a-0)^2 + (0-a)^2}$

$D =\sqrt{(a)^2 + ( -a)^2}$

$D = \sqrt{a^2 + a^2}$

$D = \sqrt{2a^2}$

$D = a\sqrt{2}$