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ProfessorThe expression 2a x a can be simplified by multiplying the coefficients and the variables separately. Multiplying 2a by a gives 2a^2, where the coefficient 2 is multiplied by the coefficient 1 (implied) to give 2, and the variable a is multiplied by a to give a^2. Therefore, 2a x a simplifies to 2a^2.
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What is 2a x 3x?
Since you cannot multiply x by a, in the answer you get ax. 2a * 3x = 6ax
What is the area of an equilateral triangle of side 2a?
The height of an equilateral triangle is √3/2 x side_length. So for an equilateral triangle of side length 2a, the area is: area = 1/2 x base x height 1/2 x (2a) x (√3/2 x 2a) = √3 a2
What is the geometric mean of a and 4a?
x2=(4a)(a) x=√4a2 x=2a The geometric mean of a and 4a is 2a
2a x -4?
6
Where did the quadratic formula come from?
The quadratic formula originated from the concept of completing the square. let's take ax2 + bx + c = 0. To complete the square, solve for x. Subtract c. ax2 + bx = -c. Then divide by a [notice- if there is no a value, then a=1]. x2 + bx/a = -c/a. Add (b/2a)2 to both sides. x2 + bx/a + b2/4a2 = -c/a + b2/4a2 Factor/Reformat. (x + b/2a)2 = (b2-4ac) / 4a2 (x + b/2a)2 = [(b2-4ac) / 2a]2 Square-root both sides. x + b/2a = ± √(b2-4ac) / 2a Subtract b/2a. x = -b/2a ± √(b2-4ac) / 2a Combine terms. x = [-b ± √(b2-4ac)] / 2a
