The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. the lengths of two sides of a triangle are 17 ft and 24 ft. find the possible lengths of the third side.
the third side must have a length greater than ? and less than ? ft.

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