Question

Explain why |−3| |9| represents the distance between the points (−3, −5) and (9, −5).

Answer 1

Absolute value of |−3| |9| represents that the distance is positive and it is the adding the distance from the x axis both side to get the distance between the points (-3,-5) and (9,-5).

Given information

The given points are (-3,-5) and (9,-5).

|−3| |9| represents the distance between the points (−3, −5) and (9, −5).

Absolute value

Absolute value or modulus of a real number describes the distance on a number line without considering the direction.

In the graph the points with coordinates $(x,y)$ represent the distance of the point in x-direction and y-direction from the origin.

The point given in the problem are (-3,-5) and (9,-5). The y-coordinate of both the points is same with value of negative five units.

Negative five value of both the point suggest that the both points lies on the same line which cuts the negative y-axis with distance equals to the 5 units.

The distance of first point in x direction is minus 3 units and the distance of the second point in the x direction is 9 units.

Now the absolute value of point x and y in the problem is |−3| |9|. As the first point is in the x direction is minus 3 units but the distance can not be negative. Thus absolute value of |−3| |9| represents that the distance is positive and it is the adding the distance from the x axis both side to get the distance between the points (-3,-5) and (9,-5).

Learn more about the absolute value here;

brainly.com/question/1301718