Comparing a Triangle and a Sector of a Circle Two wood sticks and a metal rod, each of length , are connected to form a triangle with angle θ1 at the point P, as shown in the first figure below. The rod is then bent to form an arc of a circle with center P, resulting in a smaller angle θ2 at the point P, as shown in the second figure. Find θ1, θ2, and θ1 - θ2.

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.

what’s the question?

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb