8. The hypotenuse of a right triangle is 2 cm longer than one leg and 4 cm longer than the other leg. a. Let x represent the length of the hypotenuse. Use the Pythagorean theorem to write an equation that can be solved for x b. Find the solutions for your equation c. Are both solutions reasonable in the context of this problem. Explain.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
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8. The hypotenuse of a right triangle is 2 cm longer than one leg and 4 cm longer than the
other leg.
d. Let x represent the length of the hypotenuse. Use the Pythagorean theorem to write an
equation that can be solved for x
b. Find the solutions for your equation
c. Are both solutions reasonable in the context of this problem. Explain.
9. In 2004, the highest spaceplane flight was made by Brian Binnie in Space Ship One. A flight
with this altitude can be modeled by the function h(t) = -0.17t2 +187t +61000 where h is the
altitude in meters and t is flight time in seconds.
a. Approximately how long did the flight last?
b. What was the highest altitude to the nearest thousand meters?
c. What was the time it will take to reach that altitude?
Transcribed Image Text:8. The hypotenuse of a right triangle is 2 cm longer than one leg and 4 cm longer than the other leg. d. Let x represent the length of the hypotenuse. Use the Pythagorean theorem to write an equation that can be solved for x b. Find the solutions for your equation c. Are both solutions reasonable in the context of this problem. Explain. 9. In 2004, the highest spaceplane flight was made by Brian Binnie in Space Ship One. A flight with this altitude can be modeled by the function h(t) = -0.17t2 +187t +61000 where h is the altitude in meters and t is flight time in seconds. a. Approximately how long did the flight last? b. What was the highest altitude to the nearest thousand meters? c. What was the time it will take to reach that altitude?
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