Key to System of practical mathematics. 2 pt. No.xvii |
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Página 23
... values of a , b , c , 1 . By Rule 1st . ( 1 ) x2 ( 2 ) x3 ( 4 ) — ( 3 ) ( 5 ) ÷ 5 X = 8x16x10 1280 = 128 + 80 + 160 368 3 hours 281 minutes ... value of y . # In the same manner , if the first be KEY - ALGEBRA . 23 Simultaneous Equations,
... values of a , b , c , 1 . By Rule 1st . ( 1 ) x2 ( 2 ) x3 ( 4 ) — ( 3 ) ( 5 ) ÷ 5 X = 8x16x10 1280 = 128 + 80 + 160 368 3 hours 281 minutes ... value of y . # In the same manner , if the first be KEY - ALGEBRA . 23 Simultaneous Equations,
Página 24
... value of x may be found from either equation , by substituting the value of y already found , which will reduce it to an equation with one unknown quantity whose value may easily be found . 2. By Rule 2d , 5x - 7y = 8 , .. x = 7y + 8 34 ...
... value of x may be found from either equation , by substituting the value of y already found , which will reduce it to an equation with one unknown quantity whose value may easily be found . 2. By Rule 2d , 5x - 7y = 8 , .. x = 7y + 8 34 ...
Página 25
... y = 10 Given equations . x - y = 2 . 2x = 12 . . * . x = 6 , value of x . 2y = 8 . .. y = 4 , value of y . x + y = 81 x - y = df Given equations . ( 1 ) + ( 2 ) 3 2x = s + d . ( 3 ) ÷ 2 4 ( 1 ) — ( 2 ) 5 ( 5 ) +2 2y = s - d . x = ( s + d ) ...
... y = 10 Given equations . x - y = 2 . 2x = 12 . . * . x = 6 , value of x . 2y = 8 . .. y = 4 , value of y . x + y = 81 x - y = df Given equations . ( 1 ) + ( 2 ) 3 2x = s + d . ( 3 ) ÷ 2 4 ( 1 ) — ( 2 ) 5 ( 5 ) +2 2y = s - d . x = ( s + d ) ...
Página 26
... y = a'c - ac ' . ( 5 ) ÷ ( a'b — ab ' ) 6 ( 2 ) Χα ( 3 ) — ( 4 ) ( 1 ) x b ' ( 2 ) хъ ( 7 ) - ( 8 ) a'c - ac ' : . y ... value of y . 9 ( ab'a'b ) x = b'c — bc ' . b'c - bc ' 10 x = - ́ab ' — a'b ' value of x . NOTE . If the ( 7 ) had ...
... y = a'c - ac ' . ( 5 ) ÷ ( a'b — ab ' ) 6 ( 2 ) Χα ( 3 ) — ( 4 ) ( 1 ) x b ' ( 2 ) хъ ( 7 ) - ( 8 ) a'c - ac ' : . y ... value of y . 9 ( ab'a'b ) x = b'c — bc ' . b'c - bc ' 10 x = - ́ab ' — a'b ' value of x . NOTE . If the ( 7 ) had ...
Página 27
... value in two different forms . x + y = 10 The given equa- PAGE 47 , Ex . 1 . 1 2x - y + 2 = 6 3y + 2x = 2 tions . ± 8 ( 1 ) + ( 2 ) + ( 3 ) ( 4 ) - ( 1 ) ( 4 ) — ( 2 ) 8 ( 4 ) — ( 3 ) 9 10 4x + y + 2 = 18 . 22 = 8 . ..z4 , value of z ...
... value in two different forms . x + y = 10 The given equa- PAGE 47 , Ex . 1 . 1 2x - y + 2 = 6 3y + 2x = 2 tions . ± 8 ( 1 ) + ( 2 ) + ( 3 ) ( 4 ) - ( 1 ) ( 4 ) — ( 2 ) 8 ( 4 ) — ( 3 ) 9 10 4x + y + 2 = 18 . 22 = 8 . ..z4 , value of z ...
Términos y frases comunes
a+b+c AABC ABCD acres base binomial theorem bisected centre changing the signs chord circle circumference coefficients collecting the terms completing the square cosec denominator diameter difference distance dividing divisor equal extracting the root feet find the area find the differential fraction given equation gives greater segment half the sum height hence the area hypotenuse inches inverted latitude least common multiple Let ABC Log.cosec logarithm miles Mult Multiply number sought perp perpendicular poles Problem XI Prop question radius rectangle semiperimeter sine slant slant height solidity square root substituting Subt Subtract surf Tabular area tangent Theorem third side transp transposing transposition triangle Trig value of x wherefore whole arc whole surface yards دو
Pasajes populares
Página 74 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Página 75 - If the vertical angle of a triangle be 'bisected 'by a straight line which also cuts the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the base, together with the square on the straight line which bisects the angle.
Página 9 - Let x measure у by the units in n, then it will measure cy by the units in nc. 2d. If a quantity measure two others, it will measure their sum or difference. Let a be contained...
Página 15 - ... sin(a + b + c). Again (a) represents the coarse ROM, and bands b and c are two controls of the fine-tuned ROMs so that a < 90°, b < 90 • 2~a and c < 90 • 2~(a + 6). This is shown in Fig. 7-7. Sunderland showed that the trigonometric identity can be written as sin(a + b + c) = sin(a + 6) cos c + cos a cos b sin...
Página 10 - The truth of this rule depends upon these two principles ; 1". If one quantity measure another, it will also measure any multiple of that quantity. Let x measure y by the units in n, then it will measure cy by the units in nc.
Página 139 - Arc, on the Sine and Cosine of an Arc in terms of the Arc itself, and a new Theorem for the Elliptic Quadrant.
Página 137 - The differential of the logarithm of a function is equal to the differential of the function, divided by the function itself.
Página 149 - The pyramid may be conceived to be made up of an infinite number of planes parallel to ABC.
Página 81 - ... sum of any number of quantities is equal to the sum of the corresponding functions of each of these quantities, will be called distributive
Página 86 - We thus derive the following method for multiplying two binomials which have a common first term : The first term of the product is the square of the common first terms of the binomials.