Answer:
At any given moment, the red ant's coordinates may be written as (a, a) where a > 0. The red ant's distance from the anthill is . The black ant's coordinates may be written as (-a, -a) and the black ant's distance from the anthill is
. This shows that at any given moment, both ants are
units from the anthill.
Step-by-step explanation:
Given:
red ant's coordinates written as (a,a)
black ant's coordinates are written as (-a, -a)
To find:
The distance of red and black ants from anthill
Solution:
Compute the distance of red ant from the anthill using distance formula
d (red ant) =
=
=
=
So distance of red ant from anthill is
Compute the distance of black ant from the anthill using distance formula
d (black ant) =
=
=
=
=
So distance of black ant from anthill is
Hence both ants are
units from the anthill.