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Factor 20x plus 20y plus 100?

Updated: 12/20/2022
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Q: Factor 20x plus 20y plus 100?
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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.


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Are 5x plus 3y equals 3 and -12x plus 20y equals 0 parallel or perpendicular?

Work it out. 5x+3y=3 3y=-5x+3 y=-5/3x+1 -5/3=the slope in this equation -12x+20y=0 20y=12x y=12/20x y=3/5x 3/5=the slope in this equation If the slopes equal each other, the lines are parallel. If they are the negative reciprocal (the fraction flipped upside down and multiplied by -1) of each other, they are perpendicular. I can't believe I just helped someone this lazy.


Friday jeans were sold at 25 a pair and shirts at 18 each Receipts totaled 441. On Saturday the store priced both items at 20 sold exactly the same number of each item and had receipt of 420.?

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


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Jennifer spent 7.00 for stamps to mail packages. some were 30cents stamps and the rest were 20 cents spamps. the number of 20cent stamps was 5 less than the number of 30cent stamps. write and solve?

30x+20y=700 y=x-5 30x+20(x-5)=700 30x+20x-100=700 30x+20x=800 50x=800 x=16 y=11 So, she bought 16 30-cent stamps and 11 20-cent stamps.


(y plus y) plus (y plus y)(y-3)(y-3)?

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