## A directed line segment on a gridded map shows the path of a hot-air balloon from A(0, 0) to B(8, 4). Each grid unit represents 1 mile. The

Question

A directed line segment on a gridded map shows the path of a hot-air balloon from A(0, 0) to B(8, 4). Each grid unit represents 1 mile. The balloon traveled at a constant speed of 20 miles per hour. Point V divides AB in the ratio 6 to 2. What are the coordinates of V? Round to the nearest tenth if necessary. Mary states that the distance from A to V is 6 miles. What is Mary’s mistake? What is the correct distance?

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3 years 2021-07-23T18:47:54+00:00 1 Answers 47 views 0

Step-by-step explanation:

The x position changed  8 – 0 = 8 miles

The y position changed 4 – 0 = 4 miles

A ratio of 6 to 2 means the fractional distance from the origin is

6 / (6 + 2) = 3/4

V has an x coordinate of 3/4(8) = 6 miles

V has a y coordinate of 3/4(4) = 3 miles

V = (6, 3)

Mary only considered the x dimension in her result.

d = √(6² + 3²) = √45 ≈ 6.7 miles