Answer:
9.385 km
Step-by-step explanation:
Given the points :
home (1 -3) school (-1, 2) library (3, 2)
Distance between Home and school :
Distance = √(x2 - x1)² + (y2 - y1)²
Home = (1, - 3) ; School = (-1, 2)
x1 = 1 ; y1 = - 3 ; x2 = - 1 ; y2 = 2
Distance = √(-1 - 1)² + (2 - (-3))²
Distance = √-2² + 5²
Distance = √4 + 25
= 5.385 km
From school to library :
School = (-1, 2) ; library (3, 2)
x1 = - 1 ; y1 = 2 ; x2 = 3 ; y2 = 2
Distance = √(x2 - x1)² + (y2 - y1)²
Distance = √(3 - (-1))² + (2 - 2)²
Distance = √4² + 0²
Distance = √16 + 0
Distance = √16
Distance = 4 km
Total distance in kilometers from home to library :
(5.385 + 4) km = 9.385km
