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Name:__________ warm-up 6-4. Name:__________ warm-up 6-4a.

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Presentation on theme: "Name:__________ warm-up 6-4. Name:__________ warm-up 6-4a."— Presentation transcript:

1 Name:__________ warm-up 6-4

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3 Name:__________ warm-up 6-4a

4 A. B. C.(2, –2) D.(–2, 2) The point (3, 6) lies on the graph of Which ordered pair lies on the graph of

5 Details of the Day EQ: How do radical functions model real-world problems and their solutions? How are expressions involving radicals and exponents related? I will be able to… Activities: Warm-up Review homework Notes: *Complete 6-3 Square Root Functions and Inequalities *Begin 6-4 nth roots Quiz 6-1 and 6-2 Class work/ HW Vocabulary: square root function radical function square root inequality nth root radical sign index radicand principal root. Simplify radicals. Use a calculator to approximate radicals. Graph and analyze square root functions. Graph square root inequalities.

6 6-4 Nth Roots Slope

7 A Quick Review

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10 The point (3, 6) lies on the graph of Which ordered pair lies on the graph of A. B. C.(2, –2) D.(–2, 2)

11 Notes and examples

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14 A. Simplify. B. Simplify. C. Simplify.

15 Notes and examples A. Simplify.

16 Notes and examples A. SPACE Designers must create satellites that can resist damage from being struck by small particles of dust and rocks. A study showed that the diameter in millimeters d of the hole created in a solar cell by a dust particle traveling with energy k in joules is about Estimate the diameter of a hole created by a particle traveling with energy 3.5 joules Solve Understand Plan Answer:

17 Notes and examples B. SPACE Designers must create satellites that can resist damage from being struck by small particles of dust and rocks. A study showed that the diameter in millimeters d of the hole created in a solar cell by a dust particle traveling with energy k in joules is about If a hole has diameter of 2.5 millimeters, estimate the energy with which the particle that made the hole was traveling. Solve Understand Plan Answer:

18 Notes and examples A.about 0.25 second B.about 1.57 seconds C.about 12.57 seconds D.about 25.13 seconds A. PHYSICS The time T in seconds that it takes a pendulum to make a complete swing back and forth is given by the formula where L is the length of the pendulum in feet and g is the acceleration due to gravity, 32 feet per second squared. Find the value of T for a 2-foot-long pendulum.

19 Notes and examples B. PHYSICS The time T in seconds that it takes a pendulum to make a complete swing back and forth is given by the formula where L is the length of the pendulum in feet and g is the acceleration due to gravity, 32 feet per second squared. How long is the pendulum if it takes 5 seconds to swing back and forth? A.about 2.5 feet B.about 10 feet C.about 20.3 feet D.about 25.5 feet

20 Notes and examples

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