If A(2, −1), B(5, −5), C(10, −5), and D(7, −1) are the vertices of a quadrilateral, do the points form a rhombus? A. No, it is not a rhombus because the slope of diagonal segment BD equals two and the slope of diagonal segment AC equals negative start fraction one over two end fraction full stop
B.Yes, it is a rhombus because the slope of diagonal segment BD equals two, and the slope of diagonal segment AC equals negative two full stop, and the diagonals bisect each other.
C. Yes, it is a rhombus because the midpoint of diagonals segment BD and segment AC is (6, −3).
D. Yes, it is a rhombus because the slope of diagonal segment BD equals two, the slope of diagonal segment AC equals negative start fraction one over two end fraction, and the diagonals bisect each other.

We can start with the basics. What we know is that this entire trip took 6 hours. So the travelers were able to walk on the level, uphill, and downhill in a total of 6 hours. 

A level mile takes 1/4 of an hour (15 minutes). An uphill mile takes 1/3 of an hour (20 minutes). A downhill mile takes 1/6 of an hour (10 minutes). So, to go and return over the same mile takes half an hour. This means that in 6 hours, they went 12 miles and came 12 miles back. So they went a total of 24 hours. 

If the 12 miles had been all level, it would have taken approximately 3 hours. It the 12 miles had been all uphill, it would have taken approximately 4 hours. When reaching the peak, 3.5 hours would have been the approximate time it took them to reach the top since it is in between.