I need help finding the slope, the y-intercept and the equation?
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Consider all parabolas:
1.
When x=-3, y=-1, then the point (-3,-1) is vertex of this first parabola.
2.
When x=-4, y=-4, then the point (-4,-4) is vertex of this second parabola.
3.
When x=2.5, y=20.25, then the point (2.5,20.25) is vertex of this third parabola.
4.
When x=3.5, y=19.25, then the point (3.5,19.25) is vertex of this fourth parabola.
5.
When x=-1.75, y=-1.125, then the point (-1.75,-1.125) is vertex of this fifth parabola.
6.
When x=2, y=13, then the point (2,13) is vertex of this sixth parabola.
According to given conditions, m+n is equal to 409.
Consider the diagram below.
In the hexagon ABCDEF, let
AB = BC = CD = 3;
DE = EF = FA = 5;
Arc BAF is equal to one-third of the circle's circumference.
Hence, ∠BCF = ∠BEF = 60°;
Similarly, ∠CBE = ∠CFE = 60°;
Let the point of intersection of BE and CF be P, BE and AD be Q and CF and AD be R.
∴ Δ EFP and Δ BCP are equilateral, and so Δ PQR is also equilateral.
Also, ∠ BAD and ∠ BED subtend the same arc and so do ∠ ABE and ∠ ADE.
∴ Δ ABQ is similar to Δ EDQ
Also,
and
On solving these simultaneous equations, we get AD = 360/49
∴ m + n = 409.
To learn more about similarity of triangles, refer to this link:
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