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We should recall that two lines are parallel when they have the same gradient. We can see the gradient of a line by writing it in the form y=mx+c, which will make the gradient equal to the coefficient of ...
Rearranging the second equation gives x=2y+1. Substituting this into equation 1 gives (2y+1)2+y2=13.Rearrangingthis and factorising the quadratic equation gives (5y-6)(y+2)=0, giving...
At the end of each group. Say you have a table of groups and frequencies corresponding to those groups, for example for x we have group 0<x<=5 with frequency 6 and group 5<x<=15 with frequency...
The equation of the line will be in the set form for a straight line, this being y = mx + cHence substitute the x and y values of one of the points into this equation.Repeat for the other coordinate.Hence...
72 cards5/9 are green = 72/(5/9) = 40 green marbles72 - 40 = 32 red marbles
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