MLK Day!!! Solving Equations with Radicals Day 1. Practice. Solving Equations with Radicals Day 2. Practice. Applications of Radicals.

Transcription

1 Name Algebra 2 Agenda Period Week.3 Objective Stamp Grade Monday January 8, 206 MLK Day!!! Tuesday January 9, 206 Solving Equations with Radicals Day Practice Wednesday January 20, 206 Solving Equations with Radicals Day 2 Practice Thursday January 2, 206 Applications of Radicals Practice Friday January 22, 206 Review Complete Review First Things First Average

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3 Algebra 2: Unit 5 Solving Equations Involving Radicals Practice Solving Equations Involving Radicals Pages Name Date Period Solve each equation. Be sure to check for extraneous solutions.. y x m -0. x x x = 2 x A. Solve 2 2x 6 using the table and graph below. y x y y x B. Solve 2 2x 6 algebraically.

4 Algebra 2: Unit 5 Solving Square and Cube Root Equations Day 2 Practice Solving Square and Cube Root Equations Day 2 pp Name Date Period Solve each equation. Be sure to check for extraneous solutions.. 3x p p 3. 2m- 6 3m-. 3x 7 x c- 7 c x 5 3x 2 7. n n 8. x 3 x 6

5 Algebra 2: Unit 5 Solving Square and Cube Root Equations Day 2 9. x 2-6 x- ` 0. x x 5 y x

6 Algebra 2: Unit 5 Applications Involving Radicals Practice Applications Involving Radicals Pages Name Date Period. Pilots use the function D( A) 3.56 A to approximate the distance, D, in kilometers to the horizon from an altitude, A, in meters. If the distance to the horizon is 390 km, find the altitude of the plane to the nearest meter. 2. The time t in seconds required for an object to fall from a certain height can be modeled by the h function t, where h is the initial height of the object in feet. To the nearest tenth of a second, how much longer will it take for a piece of an iceberg to fall to the ocean from a height of 20 ft. than from a height of 00 ft? 3. For a spinning amusement park ride, the velocity v in meter per second of a car moving around a curve with a radius r meters is given by v ar, where a is the car s acceleration in m/s 2. A. For safety reasons, a ride has a maximum acceleration of 39.2 m/s 2. If the cars on the ride have a velocity of m/s, what is the smallest radius that any curve on the ride may have? B. What is the acceleration of a car moving at 8 m/s around a curve with a radius of 2.5 m?. The amount of current in amperes I that an appliance uses can be calculated using the formula P 2 I R, where P is the power in watts and R is the resistance in ohms. How much current does an appliance use if P=20 watts and R = 3 ohms? Round your answer to the nearest tenth. 5. Helena drops a ball from 25 feet above a lake. The formula t 25 h describes the time t in seconds that the ball is h feet above the water. How many feet above the water will the ball be after second?

7 Algebra 2: Unit 5 Applications Involving Radicals 6. The speed, s(d), in miles per hour of a tsunami can be modeled by the function s( d) 3.86 d, where d is the average depth in feet of the water over which the tsunami travels. A. Determine the speed of a tsunami over water with a depth of 500 feet. B. How deep would the water be if the tsunami was calculated to be travelling 75 mph? 7. The formula v 909gR approximates the velocity in miles per hour necessary to escape the gravity of a planet with acceleration due to gravity, g, in ft/s 2 and radius, R, in miles. On Earth, which has a radius of 3960 mi, the acceleration due to gravity is 32 ft/s 2. On the Moon, which has a radius of 080 mi, the acceleration due to gravity is about that on Earth. How much faster 6 would a vehicle need to be traveling to escape Earth's gravity than to escape the Moon's gravity? 8. The formula s 30fd can be used to estimate the speed, s, in miles per hour that a car is traveling when it goes into a skid, where f is the coefficient of friction and d is the length of the skid marks in feet. Ashley skids to a stop on a street with a speed limit of 5 mi/h to avoid a dog that runs into the street about 20 ft ahead of her. Ashley claims to have been going less than 5 mi/h. The coefficient of friction is 0.7. A. If Ashley were driving the speed limit, by what distance would she have missed the dog? B. If Ashley were driving less than 0 mi/h, by what distance would she have missed the dog? 9. A tree casts a shadow 5 feet long. The distance from the top of the tree to the end of the shadow is 7 feet. How tall is the tree?