Can some explain in detail the step to solving tgm #6. i ll appreciate it u

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.

Four individuals pool money together to start a new business and agree to split the profits equally. n invests $6,000, x invests $2,000, y invests $8,000 and z invests $4,000. if the profits for the first month were $100,000, y receives than if the profits were divided in proportion to how much they invested.

Which spreadsheet would be used to compute the first nine terms of the geometric sequence a^n=32•(1/2)n-1