a manufacturer is designing a flashlight for the flashlight to admit a focused beam the bull needs to be on the central axis of the parabolic reflector 3 cm from the vertex write an equation that models the parabola formed when a cross section is taken through the reflector Center access assume that the vertex of the parabola is at the origin of the XY coordinate plane in the parabola can open it any direction​

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

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step-by-step explanation: