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aussy123
 2 years ago
Find the angle measurements of the intersections for the two equations f(x) = 4x  5 and g(x) = 2x^ 2  5.
aussy123
 2 years ago
Find the angle measurements of the intersections for the two equations f(x) = 4x  5 and g(x) = 2x^ 2  5.

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hartnn
 2 years ago
Best ResponseYou've already chosen the best response.1ok, can you first find the intersection point of f(x) and g(x) ?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.1for that you'll need to solve the 2 equations simultaneously.

aussy123
 2 years ago
Best ResponseYou've already chosen the best response.0How? Im so sorry , openstudy clicked me off, because of updates.

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.1yeah, me too... tag me when you come back.

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.1i will list out the steps anyways. 1) find the point of intersection of those two curves, by solving them simultaneously. (say x1, y1) 2) find the first derivative of each curve at that point. derivative of (4x5) at x=x1 will be say m1 (the slope of the tangent at x=x1) and derivative of 2x^25 at x=x1 will be say m2 (the slope of the tangent at x=x1) 3) now you know slopes of both the tangent, just apply the formula to get angle between them tan theta =  (m1m1) / (1+m1*m2)
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