Which list shows the absolute values in order from least to greatest? Select each correct answer.

∣∣−38∣∣ , ∣∣34∣∣ , ∣∣−78∣∣

∣∣−23∣∣ , ∣∣−59∣∣ , ∣∣29∣∣

∣∣−110∣∣ , ∣∣−45∣∣ , ∣∣710∣∣

∣∣−514∣∣ , ∣∣−47∣∣ , ∣∣67∣∣

The equation of a circle is (x + 4)2 + (y + 6)2 = 16. determine the length of the radius. 10 4 16 8 my flower basket delivers flowers within a 20 mile radius of their store. if this area is represented graphically, with my flower basket located at (5, 2), what is the equation that represents the delivery area? (x - 2)2 + (y - 5)2 = 20 (x - 5)2 + (y - 2)2 = 20 (x + 5)2 + (y + 2)2 = 400 (x - 5)2 + (y - 2)2 = 400

Atriangle with all sides of equal length is a/an triangle. a. right b. scalene c. equilateral d. isosceles

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) = .