Name:__________ warm-up 11-1 If c is the measure of the hypotenuse of a right triangle, find the missing measure b when a = 5 and c = 9.

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Presentation transcript:

Name:__________ warm-up 11-1 If c is the measure of the hypotenuse of a right triangle, find the missing measure b when a = 5 and c = 9.

A triangle has sides of 10 centimeters, 48 centimeters, and 50 centimeters. Is the triangle a right triangle? What is cos A?

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 Class work/ HW Vocabulary:.. Identify and use inverse variations. Graph inverse variations. Identify and use inverse variations. Graph inverse variations.

11-1 Inverse Variation

A Quick Review If c is the measure of the hypotenuse of a right triangle, find the missing measure b when a = 5 and c = 9.

A Quick Review A triangle has sides of 10 centimeters, 48 centimeters, and 50 centimeters. Is the triangle a right triangle? What is cos A?

Notes and examples Determine whether the table represents an inverse or a direct variation. Explain.

Notes and examples Determine whether –2xy = 20 represents an inverse or a direct variation. Explain. Determine whether x = 0.5y represents an inverse or a direct variation. Explain.

Notes and examples Determine whether the table represents an inverse or a direct variation. Determine whether the table represents an inverse or a direct variation

Notes and examples Determine whether 2x = 4y represents an inverse or a direct variation. Determine whether represents an inverse or a direct variation. Assume that y varies inversely as x. If y = 5 when x = 3, write an inverse variation equation that relates x and y. Assume that y varies inversely as x. If y = –3 when x = 8, determine a correct inverse variation equation that relates x and y.

Notes and examples If y varies inversely as x and y = 6 when x = 40, find x when y = 30. Assume that y varies inversely as x. If y = 5 when x = 12, find x when y = 15.

Notes and examples PHYSICAL SCIENCE When two people are balanced on a seesaw, their distances from the center of the seesaw are inversely proportional to their weights. How far should a 105-pound person sit from the center of the seesaw to balance a 63-pound person sitting 3.5 feet from the center? PHYSICAL SCIENCE When two objects are balanced on a lever, their distances from the fulcrum are inversely proportional to their weights. How far should a 2-kilogram weight be from the fulcrum if a 6-kilogram weight is 3.2 meters from the fulcrum?

Notes and examples Graph an inverse variation in which y = 1 when x = 4. Graph an inverse variation in which y = 8 when x = 3.

Notes and examples