Consider the parabola with equation y = 1
4
x
2
shown in the figure. For any point (x, y) on the
parabola, we can form a parabolic rectangle. A parabolic rectangle has one vertex at (p, q), a second
vertex on the parabola, and the other vertices on the x-axis. The parabolic rectangle shown with a
vertex of (2,1) has an area of 4 square units.

● Part A: A parabolic rectangle has one vertex at (10, 25). What are the coordinates of the
other three vertices?
● Part B: What is the area of the parabolic rectangle having one vertex at (−6,0)?
● Part C: What is the area of the two parabolic rectangles that have a side length of 36?
● Part D: What is the area of the parabolic rectangle whose length and width are equal?

answer: the proof is mentioned below.

step-by-step explanation:

since, given:   lines bc = ef

prove:   lines ac > ef

          statements                                           reason

1. bc=ef                                           1. given

2. ac= ab+bc                                 2. because b is the point between the  

                                                            line segment ac

3.   ac > bc                                       3. because if a line segment is equal to

                                                          the sum of two line segments then it is

                                                          always greater then each of these

                                                          individual line segments

4. ac > ef                                         4. by equality property.

b

step-by-step explanation:

write an equation for the line of best fit. then predict the number of milk cow operations in the year 2005.