So the x intercept is where y is 0 and x is on the x axis
y intercept, same thing, where x is equal to 0 and it's on the y axis
like the x-intercept would be: (-7,0)
y-intercept: (0,2)
The cage will drop 18.84m for each single rotation of the drum.
It is given that the diameter of the mine winch, d= 6 m.
We can calculate that how far the cage will drop for each single rotation of the drum by using the formula of the circumference.
Circumference, c = 2πr
where,
r = d/2 (radius of the mine winch)
r = 6/2
⇒ r = 3m
Circumference, c = 2πr
⇒ c = 2π×(3)
⇒ c = 6π
⇒ c = 18.84m
Hence, the cage will drop 18.84m for each single rotation of the drum.
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The pair of the linear system has a unique solution. Then the number of solutions is exactly one.
<h3>What is the linear system?</h3>
It is a system of an equation in which the highest degree of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Given
The equations are 2y = 3x - 14 and y = 6x - 2.
We know the condition.

The system of equations follows the condition.
The graph is shown below.
Since the pair of the linear system has a unique solution.
Thus, the number of solutions is exactly one.
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