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added algebraic angle answer arranged called changed CHAPTER Check coefficients column common complex consider contains denominator determinant diagram digits Dividing division divisor dollars elements Eliminate equal equation evidently examples exceeds EXERCISE Expand exponents expression factors feet Find the number following equations formula four fraction function given gives graph graphically greater Hence imaginary inches increased inequality integral interest less letters limit means method miles multiplied negative Note obtain points positive preceding problem proportional prove quadratic quotient rational reduced remainder represented respectively result sides Similarly Simplify solution Solve Solve the equation square root Substituting subtract surd symbols taken term third Transform Transposing true units unknown quantities Write written zero
Página 168 - In any proportion the product of the means is equal to the product of the extremes.
Página 45 - The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first and the second, plus the square of the second.
Página 374 - To release the paper, turn the handle /in a direction opposite to the motion of the hands of a watch.
Página 168 - If the product of two numbers is equal to the product of two other numbers, either pair may be made the means, and the other pair the extremes, of a proportion.
Página 386 - How many 6-digit numbers can be formed from the digits 1, 2, 3, 4, 5, 6, 7, 8, 9 if each number has 3 odd and 3 even digits and no two digits are alike?
Página 133 - A fraction may be reduced by division to an integral or mixed expression, if the degree of the numerator is equal to, or greater than, that of the denominator.
Página 102 - A trinomial belongs to this type, ie it is a perfect square, when two of its terms are perfect squares, and the remaining term is equal to twice the product of the square roots of these terms. The student should note that a term, in order to be a perfect square, must have a positive sign.
Página 515 - The logarithm of a product is equal to the sum of the logarithms of its factors.