Lydia's Parametric Equations


World Math Day!



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Coordinates of a Reflected Point Applet (Week of 12/3)

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Sequence Applet (Week of 11/8)

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Triangle Applet (Week of 11/1)

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Slider Applet (Week of 10/25)

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My working of problem...

10 (p.1): The value chosen for AE determines the value of DE+EC. Letting x stand for AE (and 30-x for EB), write a formula for this function. Then enter this formula into your calculator, graph it, and find the value of x that produces the shortest path from D to C through E.

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The equation for DEC

external image latex2png.2.php?z=100&eq=(a%5E2%2Bb%5E2)_1%2B(a%5E2%2Bb%5E2)_2%20%3Dc%5E2%20%5C%5C%20(x%5E2%2B15%5E2)_1%2B((30-x)%5E2%2B10%5E2)_2%3Dc%5E2%20%5C%5C%20%5Csqrt%7Bx%5E2%2B15%5E2%7D%2B%5Csqrt%7B(30-x)%5E2%2B10%5E2%7D%3Dc

The shortest path from D to C through E

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Angles AED and BEC add together to form a 90 degree angle.

Lydia S.'s Bug Problem Portfolio!