Question

a map is laid out in the standard (x, y) coordinate plane. how long in units, is an airplane's path on the map as the airplane flies along a straight line from city a located at (20, 14) to cuty b located at (5, 10)

Answer 1

15.5 units

Explanation:

If a plane flies from city a to city b, to determine how long in units the airplane's path on the map as the airplane flies along a straight line from city a located at (20, 14) to city b located at (5, 10), we will use the formula for calculating the distance between two points as shown.

D = √(x2-x1)²+(y2-y1)²

Given the location of city 'a' at a coordinate (20, 14) and city b at (5, 10)

x1 = 20, y1 = 14, x2 = 5 and y2 = 10

Distance between the two cities will be expressed as D = √(5-20)²+(10-14)²

D = √(-15)²+(-4)²

D = √225+16

D = √241

D ≈ 15.5 units

Hence, the airplane path on the map as it move from city a to b is approximately 15.5 units.