What are the coordinates of the point on the directed line segment from a(-5, 4) to b(5, -1) that partitions the segment into a ratio of 2 to 3?

Hector and alex traded video games. alex gave hector one fourth of his video games in exchange for 6 video games. then he sold 3 video games and gave 2 video games to his brother. alex ended up with 16 video games. how many video games did alex have when he started?

Nikolas calculated the volume of the prism. his work is shown below.

The areas of two similar triangles are 72dm2 and 50dm2. the sum of their perimeters is 226dm. what is the perimeter of each of these triangles?