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Point P has x-coordinate 4, to work out the y-coordinate you should substitute x=4 into the equation of the circle. This gives you 16 + y^2 = 80. this can be rearranged to y^2 = 80 - 16 = 64. Therefore y...

Let x denote the number of boys studying French and y the number of girls studying French. Then the probability that a boy chosen random studies French is x/720 and the probability that a randomly chosen ...

Multiply both sides by r: ra+3r = 2a + 7Move a to one side: ra -2a = 7-3rFactorise left hand side: a(r-2) = 7-3rMultiply both sides by (r-2): a= (7-3r) / (r-2)

5x^2 = 10x + 4 5x^2 - 10x = 4 5x^2 - 10x - 4 = 0 ax^2 +bx +c = 0 x = (-b (+/-) ( b² -4ac)^1/2) /(2a) x = (--10 (+/-) ((-10)²- (4 x 5 x -4))^1/2)/(2 x 5) x = (10 (...

the remainder theorem helps us find the reminder when a polynomial of degree n f(x)=a_nxⁿ+a_n-1x^n-1+.....+a₂x²+a₁x¹+a...