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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?

Respuesta :

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:

[tex]d=\sqrt{(z-y)^2+(w-x)^2}[/tex]

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:

[tex]d=\sqrt{(9-9)^2+(94-(-2))^2}[/tex]

[tex]d=\sqrt{0^2+96^2}[/tex]

[tex]d=\sqrt{96^2}=96[/tex]

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.

Answer:

he 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:

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.

Step-by-step explanation:

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