The points H, I, J and K all lie on the same line segment, in that order, such that the ratio of HI:IJ: JK is equal to 3: 3:4. If HK - 40, find IJ.

the image is given below

since the options are not given so we draw it from the equation

the given equation is

y = (x-1) (x+4)

y = y² + 3x - 4

the above equation is a quadratic equation which will have two roots. if we draw the graph for it, it will look like this

on plase n