1233042260

05.10.2019 • 

Mathematics

Okay so i just got done answering like 8 questions, eek --

(02.02)polygons efgh and e′f′g′h′ are shown on the coordinate grid:

what set of transformations is performed on efgh to form e′f′g′h′?

a translation 1 unit to the left followed by a 90-degree counterclockwise rotation about the origin
a translation 1 unit to the right followed by a 90-degree counterclockwise rotation about the origin
a 90-degree clockwise rotation about the origin followed by a translation 2 units to the right
a 90-degree clockwise rotation about the origin followed by a translation 2 units to the left

Ответ:

Meiyuh1

27.02.2022

Mathematics

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If   cos^2x + 2 cos x + 1 = 0, then we can model this by p^2 + 2p + 1 = 0.
This factors into (p+1)^2.  Set this = 0 and solve for p:  p=-1 and p=-1 (2 real, equal roots).

But p represents cos x.  Thus, cos x = -1.  On the interval [0, 2pi], cos x = -1 for only one x value:  pi.  Thus, x = pi.  Note that x = pi+ 2pi = 3pi is another solution, since the cosine function is periodic and thus repeats itself every 2pi radians.

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