Joanie Joanie is saving her allowance to buy a new seat for her bicycle. She is recording the amount
of money she has saved each week. The equation shown can be used to determine the
amount of money, m, in dollars, she has saved after w, weeks.
m 2.5w + 4.5
A
Joa
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Anna is constructing a line segment that is congruent to another segment ab. for the construction, which tool should be used to mesure segment ab

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) = .

What is always true about a positive integer raised to a negative odd power?