1) Two metal strips are measured as 6.21cm and 1.529cm, correct to two and three decimal places respectively. Estimate their combined length when the strips are laid end to end. 2) A right-angled triangle has shorter side lengths exactly y^2 - x^2 and 2xy units respectively, where x and y are positive real numbers such that y is greater than x. Find an exact expression for the length of the hypotenuse (in appropriate units).

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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1) Two metal strips are measured as 6.21cm and 1.529cm, correct to two and three decimal places respectively. Estimate their combined length when the strips are laid end to end.

2) A right-angled triangle has shorter side lengths exactly y^2 - x^2 and 2xy units respectively, where x and y are positive real numbers such that y is greater than x. Find an exact expression for the length of the hypotenuse (in appropriate units).

3) Solve for x given that x= a/b = b/(a/4)

4)Use interval notation to find an expression for the solution set of the following inequality:    (x+2)(x-3)<0.

5)Which one of the following equations describes the circle in the xy-plane with centre P(-2,2) and radius 3 units?

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