Question

The positions of two airplanes approaching an airport are plotted in a coordinate plane with the airport located at (0,0). The locations of the planes are

given by the coordinates (7, 2) and (-1, -8). Each grid square is 1 mile wide. How far apart are the approaching airplanes? Round your answer to the
nearest tenth of a mile.

Answer 1

Answer: incorret

Step-by-step explanatioTo calculate the distance (d) use the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 5, 0) and (x₂, y₂ ) = (0, - 5)

d =

=

= = = = 5 ← exact value

He is Incorrect

n:

Answer 2

12.8 miles

Explanation:

The distance is given by the distance formula:

d = √((x2 -x1)^2 +(y2 -y1)^2)

d = √((-1 -7)^2 +(-8-2)^2) = √((-8)^2 +(-10)^2) = √(64 +100)

d = √164 ≈ 12.8

The planes are about 12.8 miles apart.