Question

Ml

Answer 1

Answer:

The gold vein is  96 miles away from the farthest gold dust strike.

Step-by-step explanation:

Distance Between two Points in the Plane

Given two points A(x,y) and B(w,z), the distance between them is:

$d=\sqrt{(z-y)^2+(w-x)^2}$

The prospector positioned the gold vein at  (-2,9) and the farthest gold dust strike at (94,9). We are required to calculate the distance between these two points. Use the formula:

$d=\sqrt{(9-9)^2+(94-(-2))^2}$

$d=\sqrt{0^2+96^2}$

$d=\sqrt{96^2}=96$

The distance is 96 units, but we know each unit on the graph represents 1 mile, thus the gold vein is 96 miles away from the farthest gold dust strike.