an ant is on top of a tree 23 meters tall, directly above her home, which is 0.3 meters below the ground…

an ant is on top of a tree 23 meters tall, directly above her home, which is 0.3 meters below the ground. which 2 of the following expressions represents the distance between the ant and her home? choose 2 answers: a |23 + 0.3| b |-0.3 - 23| c |0.3 - 23|

an ant is on top of a tree 23 meters tall, directly above her home, which is 0.3 meters below the ground. which 2 of the following expressions represents the distance between the ant and her home? choose 2 answers: a |23 + 0.3| b |-0.3 - 23| c |0.3 - 23|

Answer

Explanation:

Step1: Define positions

Let the ground - level be 0. The ant's position is at + 23 meters (above ground) and the home's position is at - 0.3 meters (below ground).

Step2: Calculate distance formula

The distance (d) between two points (x_1) and (x_2) is (d=\vert x_1 - x_2\vert). Here, if (x_1 = 23) and (x_2=-0.3), then (d=\vert23-(- 0.3)\vert=\vert23 + 0.3\vert). Also, if (x_1=-0.3) and (x_2 = 23), then (d=\vert-0.3 - 23\vert).

Answer:

A. (|23 + 0.3|) B. (|-0.3 - 23|)