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Glencoe Algebra 2 is a key application in our vertically aligned highschool arithmetic sequence constructed to aid all scholars in achieving a greater realizing of arithmetic and enhance their arithmetic rankings on today’s high-stakes checks.

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EXAMPLE Solve for a Variable GEOMETRY The formula for the surface area S of a cone is S = πr + πr2, where is the slant height of the cone and r is the radius of the base. Solve the formula for . S = πr + πr2 Surface area formula R S - πr2 = πr + πr2 - πr2 Subtract πr2 from each side. S - πr2 = πr Simplify. S - πr2 πr _ =_ Divide each side by πr. S - πr2 _ = Simplify. πr πr πr 6. The formula for the surface area S of a cylinder is S = 2πr2 + 2πrh, where r is the radius of the base, and h is the height of the cylinder.

49. If mn = m and m ≠ 0, what is the value of n? MATH HISTORY For Exercises 50–52, use the following information. The Greek mathematician Pythagoras believed that all things could be described by numbers. By number he meant a positive integer. 50. To what set of numbers was Pythagoras referring when he spoke of numbers? c 51. Use the formula c = √2s2 to calculate the length of the hypotenuse c, or longest side, of this right triangle using 1 unit s, the length of one leg. 52. Explain why Pythagoras could not find a “number” for the value of c.

A. n + (-8) = -9 n = n2 b. _ 6 2A. g - 5 = -2 18 Chapter 1 Equations and Inequalities Andy Lyons/Getty Images The sum of a number and -8 is -9. A number divided by 6 is equal to that number squared. 2B. 2c = c2 - 4 Open sentences are neither true nor false until the variables have been replaced by numbers. Each replacement that results in a true sentence is called a solution of the open sentence. Properties of Equality To solve equations, we can use properties of equality. Some of these properties are listed below.

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