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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?

User Rayncorg
by
8.3k points

2 Answers

1 vote

Answer:

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:

User Hamed Baatour
by
8.4k points
6 votes

Answer:

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.

User Inxilpro
by
9.3k points
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