Try it: Segment Addition and Construction 20
POSSIBLE POINTS: 3.33
D
3x - 1 E
13
F
E is between D and F. Find
6x
Which equation correctly uses the Segment Addition Postulate for this scenario?
A
(32 – 1) + 13 = 62
B.
6x + 13 = 33 - 1
С
(3x - 1) +63 = 13
D
(3x - 1) = 13
1
2
3
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Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .