Question

Ml

A prospector graphed the locations of a gold vein and all of the
gold dust strikes in the vicinity. She positioned the gold vein at
(-2,9) and the farthest gold dust strike at (94,9). If each unit on the
graph represents 1 mile, then how far away from the gold vein is
the farthest gold dust strike?

Answer 1

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

Explanation:

Distance Between two Points in the Plane

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

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:

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.

Explanation:

Answer 2

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

Explanation:

Distance Between two Points in the Plane

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

`d=√((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=√((9-9)^2+(94-(-2))^2)`

`d=√(0^2+96^2)`

`d=√(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.