Question

Zoey is meeting Kyle at the bowling alley after work. Zoey's work is located at (6, -2) and Kyle's work is located at (-3, 9). If the bowling alley is located halfway between them, how far will they travel to meet?

a) 11.5 units
b) 9.5 units
c) 15 units
d) 5 units

Answer 1

To find the distance they will travel to meet at the bowling alley, calculate the distance between Zoey's work and Kyle's work, and then divide it by two. The answer is approximately 7.1063 units, which is closest to option d) 5 units.

Step-by-step explanation:

To find the distance they will travel to meet at the bowling alley, we need to calculate the distance between Zoey's work and Kyle's work and then divide it by two. To calculate the distance between two points, you can use the distance formula:

d = sqrt((x2 - x1)2 + (y2 - y1)2)

Using the coordinates, the distance between Zoey's work (6, -2) and Kyle's work (-3, 9) is:

d = sqrt(81 + 121)

d = sqrt(202)

d ≈ 14.2126

Finally, divide the distance by 2 to get the distance they will travel to meet:

d/2 ≈ 14.2126/2 ≈ 7.1063

The answer is approximately 7.1063 units, which is closest to option d) 5 units.