2. the table shows the total number of segments whose endpoints are chosen from x points, no three of which are collinear.

a. the third point on the table is (4, 6). write a quadratic model of the data. what point would go in the last set of missing boxes in the table? show your work.

b. predict the number of segments that can be drawn using 10 points. show your work.

c. in what real-life situation could this model be useful? give a reason for your answer.

3. determine whether a quadratic model exist for the set of values. if so, write the model. show your work.

The blue whale is the largest animal living on the earth. the average blue whale measures 100 feet long (30 meters) and weighs 300,000 pounds (136,000 kilograms). a whale’s head is 1⁄3 of the length of its body. a new baby whale is 1⁄4 the length of a grown whale. the average man is 1⁄17 the length of a blue whale, and 1⁄1,818 its weight. a human baby measures 1⁄4 of the length of an adult. calculate the following information: how long is a whale’s head? how long is a new baby whale? how tall is the average man? how much does the average man weigh? how tall is the average human baby?

How to determine whether two known pairs of points are on the same line.

Angles r and s are complementary. the measure of angle r is 31 degrees. which equation can be used to find angle s?