Question

Which expression represents the distance between the points (a, 0) and (0, 5) on a coordinate grid?

Answer 1

Distance =
`\sqrt{ (a-0)^(2) + (0-5)^(2) }`

Answer 2

Expression that represents distance between points (a,0) and (0,5) is:

`√(a^2+5^2)`

Explanation:

The distance between points (x1,y1) and (x2,y2) is given by:

`√((x2-x1)^2+(y2-y1)^2)`

Here, (x1,y1)=(a,0) and (x2,y2)=(0,5)

`√((0-a)^2+(5-0)^2)`

=
`√(a^2+5^2)`

Hence, expression that represents distance between points (a,0) and (0,5) is:

`√(a^2+5^2)`