Question

A video game designer places an anthill at the origin of a coordinate plane. A red ant leaves the anthill and moves along a straight line to (1, 1), while a black ant leaves the anthill and moves along a straight line to (−1, −1). Next, the red ant moves to (2, 2), while the black ant moves to (−2, −2). Then the red ant moves to (3, 3), while the black ant moves to (−3, −3), and so on. Complete the explanation of why the red ant and the black ant are always the same distance from the anthill. 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 (blank) . The black ant's coordinates may be written as (−a, −a) and the black ant's distance from the anthill is (blank) . This shows that at any given moment, both ants are (blank) units from the anthill.

Answer 1

The red ant and the black ant are always the same distance from the anthill because they move along parallel lines with the same slope.

Step-by-step explanation:

The red ant and the black ant are always the same distance from the anthill because they move along straight lines that are parallel to each other. The red ant moves along the line y = x, while the black ant moves along the line y = -x. Both lines have the same slope of 1, which means they move at the same rate vertically and horizontally. Therefore, at any given moment, both ants are the same distance from the anthill.

Answer 2

Answer:use calculator to divide the variables and use the countains as a providence

Step-by-step explanation: