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Answer: The set of point M ,point N and all the points between point M and point N.
Step-by-step explanation:
We know that in geometry, a part of a line that is bounded by two distinct end points is called a line segment. It contains every point on the line between its endpoints.
Therefore a line segment is a set of its distinct end points and all the points between the endpoints.
Thus, for given line segment
is the set of point M ,point N and all the points between point M and point N.
Answer:
≈ 1.32471795725...
Explanation:
If x is one less than its cube, then
x = x³ - 1,
x³ - x - 1 = 0
so f(x) = ? would be an appropriate (continuous) function to apply the Intermedate Value Theorem on some appropriate interval to see if it takes on the value 0 in that interval.
f(x) = x³ - x - 1
For large x the left hand side is positive, for x = 0 it is negative. The root can be calculated exactly, it is given by:
![\sqrt[3]{\frac{1}{2} + \sqrt{\frac{1}{4} - \frac{1}{27} } } + \sqrt[3]{\frac{1}{2} - \sqrt{\frac{1}{4} - \frac{1}{27} } }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B1%7D%7B2%7D%20%2B%20%5Csqrt%7B%5Cfrac%7B1%7D%7B4%7D%20-%20%5Cfrac%7B1%7D%7B27%7D%20%7D%20%20%7D%20%2B%20%5Csqrt%5B3%5D%7B%5Cfrac%7B1%7D%7B2%7D%20-%20%5Csqrt%7B%5Cfrac%7B1%7D%7B4%7D%20-%20%5Cfrac%7B1%7D%7B27%7D%20%7D%20%20%7D)
≈ 1.32471795725...