High School Algebra: Elementary Course

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Allyn and Bacon, 1907 - 297 páginas
 

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Página 88 - That is, the square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second.
Página 280 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Página 206 - If squares are constructed on the two sides, and also on the hypotenuse of a right-angled triangle, then the sum of the squares on the sides is equal to the square on the hypotenuse.
Página 293 - A can do a piece of work in 12 days and B can do it in 9 days. How long will it take both working together to do it ? 22.
Página 279 - In any proportion, the product of the means equals the product of the extremes.
Página 291 - If a cistern can be filled by one pipe in x minutes and emptied by another in x+5 minutes, what part of the cisternful runs in one minute if both pipes are open? 75 Find two numbers whose sum is 51, such that if the greater is divided by their difference, the quotient is 3 1/2.
Página 74 - ... expression composed of parts connected by the signs + and — is called a polynomial. Each of the parts thus connected, together with the sign preceding it, is called a term.
Página 203 - An open box is made from a square piece of tin by cutting out a 5 inch square from each corner and turning up the sides. How large is the original square, if the box contains 180 cubic inches?
Página 219 - Divide the first term of this remainder by the first term of the divisor, obtaining the second term of the quotient. Multiply the divisor by the second term of the quotient and subtract, obtaining a second remainder. 5. Continue in this manner until...
Página 229 - Hence, to extract the square root of a fraction, we find the square root of its numerator and its denominator separately. Eg Vjf = |, since | x | = if.

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