A dog is leashed to a point in the center of a large yard, so the area the dog is able of to explore is circular. The leash is 20 feet long (radius). What is the area of the region the dog is able to explore?

Astudent draws two parabolas on graph paper. both parabolas cross the x-axis at (–4, 0) and (6, 0). the y-intercept of the first parabola is (0, –12). the y-intercept of the second parabola is (0, –24). what is the positive difference between the a values for the two functions that describe the parabolas? write your answer as a decimal rounded to the nearest tenth