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You are not logged in. Pages: 1 #1 20051216 15:01:25
I have another problem that involves some sort of substitution.A line passes through the point (1,2). What's the slope of the line passing through this point that would create a triangle of the least area. The x and y axis being the legs of a right triangle. #2 20051216 15:31:33
Re: I have another problem that involves some sort of substitution.Start with the basics. Last edited by Ricky (20051216 15:39:47) "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #3 20051216 16:20:12
Re: I have another problem that involves some sort of substitution.The x intercept must be greater than one. I arrived at this by drawing a picture and setting two similar triangles proportions equal. They are: Sorry explanation so poor. Last edited by John E. Franklin (20051216 16:21:55) igloo myrtilles fourmis #5 20051216 16:29:04
Re: I have another problem that involves some sort of substitution.Slope = 2 Last edited by John E. Franklin (20051216 16:30:58) igloo myrtilles fourmis #6 20051216 16:48:59
Re: I have another problem that involves some sort of substitution.John, I'm curious how you came up with that. Think you could show more work? I can't seem to find where that equation is coming from. "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #8 20051216 17:01:07
Re: I have another problem that involves some sort of substitution.Click on picture to see it bigger. igloo myrtilles fourmis #9 20051216 17:07:28
Re: I have another problem that involves some sort of substitution.Add 2 to both sides to solve for Yintercept. Multiply both sides of equation by Xintercept so as to solve for the area; you can divide by 2, if you want to be exact. igloo myrtilles fourmis #10 20051216 17:07:36
Re: I have another problem that involves some sort of substitution.Ah, I see now. Guess no calculus is needed. "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #12 20051216 17:09:25
Re: I have another problem that involves some sort of substitution.Well I cheated after that and plotted the points with a tiny BASIC program. Last edited by John E. Franklin (20051216 17:19:26) igloo myrtilles fourmis #14 20051216 17:43:51
Re: I have another problem that involves some sort of substitution.Okay, I get the product rule. Last edited by John E. Franklin (20051216 17:46:32) igloo myrtilles fourmis #16 20051216 17:47:11
Re: I have another problem that involves some sort of substitution.oh. I'll examine tomorrow. bye. igloo myrtilles fourmis Pages: 1 