Radical Equations and Extraneous Roots

The formula es001-1.jpg gives the time it takes in seconds, T, for a pendulum to make one full swing back and forth, where L is the length of the pendulum, in feet. To the nearest foot, what is the length of a pendulum that makes one full swing in 1.9 s? Use 3.14 fores001-2.jpg .

3 ft

n basketball, hang time is the time that both of your feet are off the ground during a jump. The equation for hang time is , where t is the time in seconds, and h is the height of the jump, in feet. Player 1 had a hang time of 0.9 s. Player 2 had a hang time of 0.8 s. To the nearest inch, how much higher did Player 1 jump than Player 2?

8 in

Do you agree? Explain why or why not.

no because when you plug in 4 to the X the 2 will turn into an 8

Solve s= 4+ sqrt s+2

( B) s=7

solve x = 4+(4x -4) 1/2

(B) x=10

The speed that a tsunami (tidal wave) can travel is modeled by the equationmc001-1.jpgwhere S is the speed in kilometers per hour, and d is the average depth of the water in kilometers. A tsunami is traveling at 140 km/hr. What is the approximate average depth of the water?

(C) 0.155 km

Solve 3 sqrt x^2-8 =2

(C) x = -4 or x = 4

solve (2a^2+5a+2) ^1/2 =3

C