An arch way is modeled by the equation y=-2x^2+8x. a rod is to be placed across the archway at an angle definded by the equation x-2.23y+10.34=0. if the rod is attached to the archway at points a and b, such that point b is at a higher level than point a, at what distance from the ground is point b ?

So.. hmm check the picture below

now, to know where A and B are, that occurs when the parabolic equation equates the linear one

thus 



now, running that on the quadratic formula, you end up with the values of 3.00402497440839842242  and 0.77175977895483027713

thus B rounded up is 3.004  and A rounded up is 0.7718

what's the "y" value for B?, well, you can use either the linear or quadratic equation for that, let's use the quadratic one

How many groups are there?