According to hooke's law, the force required to compress or stretch a spring from an equilibrium position is given by f(x)=kx, for some constant k. the value of k (measured in force units per unit length) depends on the physical characteristics of the spring. the constant k is called the spring constant and is always positive.

Given the points a(-2, 1) and b(8, 6), find the coordinates of the point c on directed line segment ab, that partitions ab in the ration 2: 3.

9.4.34  question   to estimate the height of a stone  figure, an observer holds a small square up to her eyes and walks backward from the figure. she stops when the bottom of the figure aligns with the bottom edge of the  square, and when the top of the figure aligns with the top edge of the square. her eye level is 1.811.81 m from the ground. she is 3.703.70 m from the figure. what is the height of the figure to the nearest hundredth of a  meter?

Joey is asked to name a quadrilateral that is also a rhombus and has 2 pairs of parallel sides. should be his answer