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What is 2x-3 cube?
(2x - 3)3 = (2x - 3)(2x - 3)(2x - 3) = (4x2 - 12x + 9)(2x - 3) = 8x3 - 36x2 + 54x - 27
A 64m long rope is cut into 3 pieces The second piece is 3 times as long as the first pieceThe third piece is 4 times as long as the second piece What is the length of each piece?
Oh, what a lovely problem to solve! Let's paint a happy little picture here. If we let the length of the first piece be x meters, the second piece would be 3x meters long, and the third piece would be 4 times that, which is 12x meters. Together, they add up to 64 meters, so we can set up the equation x + 3x + 12x = 64 to find the lengths of each piece.
What is the center and diameter of a circle when x2 plus y2 equals 12x -10y -12?
If: x^2 +y^2 = 12x -10y -12 Then: x^2 +y^2 -12x +10y +12 = 0 Completing the squares: (x-6)^2 +(y+5)^2 = 49 which is the radius squared Center of circle: (6, -5) Diameter of circle: 14 units
The cube of the sum of x and 4?
(x + 4)^(3) = (x + 4)(x + 4)(x + 4) = (x^(2) + 8x + 16)(x + 4) = x^(3) + 8x^(2) + 16x + 4x^(2) + 32x + 64) = x^(3) + 12x^(2) + 48x + 64 Done!!!!!
Write the point-slope equation of the line that goes through 5 3 with a slope of -12?
A line in the X-Y plane follows an equation y = (slope X x) plus a constant k. In this instances, 5 = [(-12)(3)] + k, or k = 5 + 36 = 41. Therefore, the equation is: y = -12x + 41.
