A (0,0), B(8,10), C(5,-10) First, find the slope of AB and AC, slope of AB is 5/4, slope of AC is -2 next, find the negative reciprocals of the slopes: -4/5 and 1/2 respectively so the altitude of AB is a line with a slope of -4/5 passing through (5,-10) the altitude of AC is a line with a slope of 1/2 passing through (8,10) find these two lines: Plug (5,-10) in y=(-4/5)x+b to find b, b=-6, so y=(-4/5)x -6 plug (8,10) in y=(1/2)x +b to find b, b=6, so y=(1/2) x +6
the point where these two lines meet is the orthocenter. y=(-4/5)x -6 y=(1/2) x +6 (-4/5)x -6=(1/2) x +6 x=-120/13 y=(1/2)*(-120/13)+6=18/13 so the orthocenter is (-120/13, 18/13) these numbers look odd, but I've run the vertex through an orthodox calculator, and got the same result.
Whether the events are dependent or not, the rule for conditional probability applies: P(a|b) = P(a∩b)/P(b) P(a|b)×P(b) = P(a∩b) 0.25×0.4 = P(a∩b) = 0.1
The answer is 21% because a 6-oz fillet of salmon contains about 750 mg of potassium. 3500-750 equals 2750, meaning that whichever percent closest to that answer is correct. 3500 - 21% = 2760 which is the closest number to the correct percentage therefore A. Is the answer.
