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added addition algebra altitude arithmetic axis base binomial called Centigrade circle coefficients common complete containing corresponding cube root curve cuts decimal denominator determinant difference digits directly distance divided dividend division divisor eliminate ends equal equation Example exponent expression factor Fahrenheit feet figure Find formula four fraction geometric given giving graph harmonic Hence hour imaginary inches increased indicated integers irrational letter logarithms manner means method miles multiplied negative obtained operations ORAL EXERCISES original pairs places polynomial positive possible problem progression proportional quadratic quotient radical radius rational reading reduced remainder represent respectively result rule satisfy shown sides Solution Solve square root Substituting subtract Taking term third tions units unknowns values varies volume weight write WRITTEN EXERCISES zero
Page 127 - Divide the first term of the remainder by three times the square of the first term of the root, and write the result as the next term of the root.
Page 105 - The number of vibrations per second of a pendulum varies inversely as the square root of the length. If a pendulum 39.1 inches long vibrates once in each second, how long is a pendulum which vibrates 3 times in each second ? 13.
Page 34 - R is not zero, and the division is not exact. That is, x — a is not a factor of D. Hence : If a polynomial in x reduces to zero when a particular number a is substituted for x, then x — a is a factor of the polynomial, and if the substitution of a for x does not reduce the polynomial to zero, then x — a is not a factor.
Page 243 - The characteristic of the logarithm of a number greater than 1 is a positive integer or zero, and is one less than the number of digits to the left of the decimal point.
Page 247 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 110 - The weight of a body above the earth's surface varies inversely as the square of its distance from the earth's center. If an object weighs 2000 pounds at the earth's surface, what would be its weight if it were 12,000 miles above the center of the earth, the radius of the earth being 4000 miles ? CHAPTER X EXPONENTS AND RADICALS FRACTIONAL AND NEGATIVE EXPONENTS 174.
Page 41 - Both terms of a fraction may be multiplied by the same number without changing the value of the fraction.
Page 235 - ... preceding term by the exponent of a in that term and dividing this product by a number one greater than the exponent of b in that term.