Answers SVLC ALGEBRA 2B - STANDARD 15272Radical Equations and Extraneous Roots

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The formula relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing back and forth. What is the length of a pendulum that makes one full swing in 2.2 seconds? Use 3.14 for .

2 feet

4 feet

11 feet

19 feet

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What is the following sum?

6 b squared (RootIndex 3 StartRoot 2 a EndRoot)

12 b squared (RootIndex 3 StartRoot 2 a EndRoot

6 b squared (RootIndex 6 StartRoot 2 a EndRoot)

12 b squared (RootIndex 6 StartRoot 2 a EndRoot)

Which graph represents ?

On a coordinate plane, a cubic function has an inflection point at (0, negative 2).

On a coordinate plane, a cubic function has an inflection point at (negative 2, 0)

On a coordinate plane, a cubic function has an inflection point at (0, 2).

On a coordinate plane, a cubic function has an inflection point at (2, 0).

What is the following quotient?

2 (RootIndex 3 StartRoot 3 EndRoot) minus RootIndex 3 StartRoot 18 EndRoot

2 (RootIndex 3 StartRoot 3 EndRoot) minus 3 (RootIndex 3 StartRoot 2 EndRoot)

3 (RootIndex 3 StartRoot 3 EndRoot) minus RootIndex 3 StartRoot 18 EndRoot

3 (RootIndex 3 StartRoot 3 EndRoot) minus 3 (RootIndex 3 StartRoot 2 EndRoot)

What is the simplified form of the following expression?

StartRoot 3 EndRoot

9 StartRoot 3 EndRoot

11 StartRoot 3 EndRoot

15 StartRoot 3 EndRoot

Pam’s eye-level height is 324 ft above sea level, and Adam’s eye-level height is 400 ft above sea level. How much farther can Adam see to the horizon? Use the formula , with d being the distance they can see in miles and h being their eye-level height in feet.

1 mi

19 mi

What is the simplified form of the following expression? Assume .

StartFraction RootIndex 5 StartRoot 10 x EndRoot Over 3 x EndFraction

StartFraction RootIndex 5 StartRoot 30 EndRoot Over 3 x EndFraction

StartFraction RootIndex 5 StartRoot 120 x cubed EndRoot Over 3 x EndFraction

StartFraction RootIndex 5 StartRoot 810 x cubed EndRoot Over 3 x EndFraction

The formula gives the length of the side, s, of a cube with a surface area, SA. How much longer is the side of a cube with a surface area of 480 square meters than a cube with the surface area of 270 square meters?

The mean sustained wind velocity, v, can be determined by the equation , where p is the air pressure, in millibars, at the center of the hurricane. What is the approximate air pressure at the center of a hurricane when the mean sustained wind velocity is 64 meters per second?