To simplify the expression ((10x \cdot 36y) \cdot (2x \cdot y)), you multiply the coefficients and the variables separately. This results in (20x^2 \cdot 36y^2) which simplifies to (720x^2y^2). The expression (12x \cdot 36y) simplifies to (432xy). Therefore, ((10x \cdot 36y) \cdot (2x \cdot y)) is not equal to (12x \cdot 36y).
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12x - 5(2x - 6) = 30 12 x - 10x + 30 = 30 2x = 0, x = 0 y = -6
If: y = 3x^2 +10x +11 and y = 2 -2x -x^2 Then: 3x^2 +10x +11 = 2 -2x -x^2 Transposing terms: 4x^2 +12X +9 = 0 Factorizing the above: (2x+3)(2x+3) = 0 meaning x = -3/2 By substitution into original equations intersection is at (-3/2, 11/4)
If: y = 2 -2x -x^2 and y = 3x^2 +10x +11 Then: 3x^2 +10X +11 = 2 -2x -x^2 Or: 4x^2 +12x +9 = 0 Factorizing the above: (2x+3)(2x+3) = 0 meaning x = -3/2 When x = -3/2 then by substitution y = 11/4 Therefore point of contact is at: (-3/2, 11/4)
I assume you mean...,12X - 5Y = 30Y = 2X - 6You are given Y, so insert it into the top equation above.12X - 5(2X - 6) = 3012X - 10X + 30 = 302X = 0X = 0=====so, obviously,Y = - 6======Check.12(0) - 5(- 6) = 3030 = 30========checks(0, - 6)=======Ordered pair.
If the line y = 2x+1.25 is a tangent to the curve y^2 = 10x then it works out that when x = 5/8 then y = 5/2