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Multiplication and division property
The following are also true. where a is a non-zero constant. ..
Expansions
In algebra we come across certain products very frequently. For e.g., (a + b) 2 , (a + b) 3 (a + b + c) 2 etc. These are nothing but products of binomials or trinomials. We derive the formulae for these products and apply them whenever necessary. These expansions help us to avoid elab..
Write the mixed number represented by the long division method.
Write the mixed number represented by the long division method. => 2 4 9 or 2 7 9 or 2 8 9 or None of the above..
Calculation of Cell Potential
In an electrochemical cell, electrons flow from negative electrode to the positive electrode. This shows that there is a potential difference between the two electrodes. The minimum potential which causes the flow of the electrons from the negative electrode to the positive electrode is called em..
Field Due to an Infinitely Long Straight Charged Wire
Consider a thin long charged wire. Let the charge per unit length of the wire be l . To calculate the field at P we consider a Gaussian surface with wire as axis, radius r and length l as shown in the figure. This Gaussian surface that is, the cylinder is closed at each end by p..
A school library is 55 yards wide and 135 yards long. A basketball cou..
A school library is 55 yards wide and 135 yards long. A basketball court has the same area, but is 45 yards wide. Which of the following algebraic model represents the situation while finding the length of the basketball court? [Let x represent the length of basketball court.] =..
The graphs of the given pair of functions intersect. Calculate their p..
The graphs of the given pair of functions intersect. Calculate their points of intersection algebraically. y = x 2 - 8 y = 6 x 2 - 45 x - 8 => (0, - 8) and (9, 73) or (5, 17) and (9, 73) or (9, 73) Only or (0, 9) and (- 8, 73)..
Objective : Represent relationships among quantities using concrete m..
Objective : Represent relationships among quantities using concrete models, tables, graphs, diagrams, verbal descriptions, equations, and inequalities including representations involving computer algebra systems, spreadsheets, and graphing calculators. Which table describe ..
The graphs of the given pair of functions intersect. Calculate their p..
The graphs of the given pair of functions intersect. Calculate their points of intersection algebraically. y = x 2 y = (- 1 7 ) x 2 + ( 8 7 ) x + 48 => (7, 49) and (- 6, - 36) or (7, 49) and (- 6, 36) or (7, - 49) and (- 6, 36) or (7, - 49) and (6, - 36)..
Derived Units
Derived Units - The units of all physical quantities can be derived from the seven basic units. These units are called derived units because they can be derived from the basic units algebraically by multiplication and division. It is frequently necessary to convert one set of un..
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