Descartes was able to construct the product and quotient of two quantities using similar triangles. Suppose AB is taken to equal 1, and one wants to multiply BD by BC (see the figure on the right). Join AC and draw DE parallel to CA. 1. Show that BE is the product of BD and BC.

2. Similarly, given two lengths BE and BD, construct the quotient length.

i dont know sorry

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where r the answers

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guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

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h= 12 inches

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