Question

Which expression represents the distance between point (0, a) and point (a, 0) on a coordinate grid?

StartRoot 2 a squared EndRoot
StartRoot a Superscript 4 Baseline EndRoot
StartRoot 2 a Superscript 4 Baseline EndRoot
0

Answer 1

A

Explanation:

Answer 2

`√(2a^2)`

Explanation:

The distance between two points (x₁ , y₁) and (x₂ , y₂) is d

`d= √((x2-x1)^2+(y2-y1)^2)`

For the given points (0, a) and (a, 0)

Substitute at the previous equation

`d=√((a-0)^2+(0-a)^2)=√(a^2+a^2)=√(2a^2) =a√(2)`

So, the expression represents the distance between point (0, a) and point (a, 0) on a coordinate grid is StartRoot 2 a squared EndRoot ⇒
`√(2a^2)`