Can I someone help me answer this?
1 answer:
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Answer:
<em>The gold vein is 96 miles away from the farthest gold dust strike.</em>
Step-by-step explanation:
<u>Distance Between two Points in the Plane </u>
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.
For this case we have the following system of equations:
To solve, we clear "x" from the second equation:
We substitute "x" in the first equation:
We clear the value of the variable "y":
We look for the value of the variable "x":
Thus, the solution of the system is given by:
Answer:
Option D