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

Answer:

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

$\sqrt{a^2+5^2}$

Step-by-step explanation:

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

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

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

$\sqrt{(0-a)^2+(5-0)^2}$

=  $\sqrt{a^2+5^2}$

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

$\sqrt{a^2+5^2}$