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x2 + 10x + y2 + 20y - 19 = 0 x2 + 10x + y2 + 20y = 19 Complete the squares on the LHS: x2 + 10x + 25 + y2 + 20y + 100 = 19 + 25 + 100 = 144 Simplify LHS: (x + 5)2 + (y + 10)2 = 122 This is the equation of all points whose distance form the point (-5, -10) is 12 units. That is, the circle with centre (-5, -10) and radius = 12 units.
8x + 20y
It is a straight line equation that needs to be rearranged into slope-intercept form as follows:- 8x+20y = -80 20y = -8x-80 y = -0.4x-4
Yes, it is. If we denote with x the number of jeans that were sold, and with y the number of shirts that were sold, and create a system equations we will find: 25x + 18y = 441 20x + 20y = 420 Solve this system 4(25x + 18y) = 4(441) -5(20x + 20y) = -5(420) 100x + 72y = 1764 -100x - 100y = - 2100 -28y = -336 y = 12 shirts were sold in each day 20x + 20(12) = 420 20x + 240 = 420 20x = 180 x = 9 pair jeans were sold in each day
12y - 4 = 7y + 165y = 20y = 4