Three baseball players are playing catch. Herman is 6 meters south of Luca and 8 meters west of valentina. How far does Luca need to throw the ball to get it to Valentina

Luca needs to throw the ball 10 meters to get to Valentina.

Step-by-step explanation:

Distance Between two Points in the Plane

Let's assume Luca is at the origin of coordinates (0,0).

Since Herman is 6 meters south of Luca, he is located at (0,-8).

We also know Herman is 8 meters west of Valentina, or equivalently, Valentina is 8 meters east of Herman. This locates Valentina at (6,-8).

If Luca wanted to throw the ball to Valentina, he would need to cover the distance between them.

Thus the problem reduces to find the distance between (0,0) and (6,-8).

Given two points A(x,y) and B(w,z), the distance between them is:

Applying the formula:

d=10 m

Luca needs to throw the ball 10 meters to get to Valentina.

x=4

step-by-step explanation:

b. 153 students do not participate in sports and seventy-five 12th graders were surveyed