Durell's Introductory AlgebraC.E. Merrill, 1912 - 286 σελίδες |
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Σελίδα 10
... obtained from the lists of Important Numerical Facts given on pp . 498–504 . 19. To look well , the middle part of a steeple should be twice as high as the lowest part , and the top part 8 times as high as the lowest part . If a steeple ...
... obtained from the lists of Important Numerical Facts given on pp . 498–504 . 19. To look well , the middle part of a steeple should be twice as high as the lowest part , and the top part 8 times as high as the lowest part . If a steeple ...
Σελίδα 12
... obtain results which are true for all numbers . See Exs . 34-40 , p . 97 . Unknown quan- 6. Symbols for Unknown Quantities . tities in algebra are usually denoted by the last letters of the alphabet ; as x , y , z , u , v , etc. The ...
... obtain results which are true for all numbers . See Exs . 34-40 , p . 97 . Unknown quan- 6. Symbols for Unknown Quantities . tities in algebra are usually denoted by the last letters of the alphabet ; as x , y , z , u , v , etc. The ...
Σελίδα 22
... obtaining numerical values is the same in algebra as in arithmetic . I. In a series of operations involving addition ... obtained thus : Substitute for each letter in the expression the number which the letter stands for ; Perform the ...
... obtaining numerical values is the same in algebra as in arithmetic . I. In a series of operations involving addition ... obtained thus : Substitute for each letter in the expression the number which the letter stands for ; Perform the ...
Σελίδα 32
... obtain 5 − ( +3 ) = 5 3 - = 2 . From this example we see that adding negative quantity is the same in effect as subtracting positive quantity . - Therefore , in the expression 5 – 3 , the minus sign may be considered either a sign of ...
... obtain 5 − ( +3 ) = 5 3 - = 2 . From this example we see that adding negative quantity is the same in effect as subtracting positive quantity . - Therefore , in the expression 5 – 3 , the minus sign may be considered either a sign of ...
Σελίδα 36
... obtained 2720 pounds of cream in one month by the use of a separator . This is more than he would have obtained if his milk had been skimmed by hand . How much would he have obtained by the latter process ? 29. The cost of a macadam ...
... obtained 2720 pounds of cream in one month by the use of a separator . This is more than he would have obtained if his milk had been skimmed by hand . How much would he have obtained by the latter process ? 29. The cost of a macadam ...
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Δημοφιλή αποσπάσματα
Σελίδα 213 - At what time between 3 and 4 o'clock are the hands of a watch pointing in opposite directions?
Σελίδα 97 - ... the square of the first number, minus the product of the first by the second, plus the square of the second.
Σελίδα 110 - ... the square of the second. _ Again, (a — by = (a — 5) (a — 5) = a2 — 2a6 + 52. (2) That is, The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first by the second, plus the square of the second.
Σελίδα 137 - Arts. 75 and 76 a trinomial is a perfect square when its first and last terms are perfect squares and positive, and the middle term is twice the product of the square roots of the end terms.
Σελίδα 129 - The difference of two like odd powers of two quantities is divisible by the difference of the quantities. For the quotient in all these cases— (1) The number of terms in a quotient equals the degree of the powers...
Σελίδα 80 - To divide a polynomial by a monomial, divide each term of the dividend by the divisor and add the partial quotients.
Σελίδα 97 - Prove that the square of the sum of any two numbers equals the square of the first number, plus twice the product of the two numbers, plus the square of the second number.
Σελίδα 66 - In the multiplication of whole numbers, place the multiplier under the multiplicand, and multiply each term of the multiplicand by each term of the multiplier, writing the right-hand figure of each product obtained under the term of the multiplier which produces it.
Σελίδα 215 - A train running 40 mi. an hour left a station 45 min. before a second train running 45 mi. an hour. In how many hours will the second train overtake the first?