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Maths
GCSE

The graph of y = x^2 + 4x - 3 (Graph A) is translated by the vector (3 | 2), find the equation of the new graph (Graph B)

Minimum point of Graph A:*complete square to find(x+2)^2 - 4 - 3 = 0(x+2)^2 - 7 = 0Therefore minimum point = (-2, -7)Minimum point of Graph B:(-2+3, -7+2) = (1, -5)*reverse complete the square method(x-1)...

GB
Answered by George B. Maths tutor
4924 Views

Find the volume of a cone with radius 13cm and with a perpendicular height of 9cm.

volume= 1/3(πr2)h= 1/3 (3.14x 13x 13)x9= 1592.79 cm3 (2.d.p) = 1590 cm3 (3.s.f)
r= radius h= perpendicular height

MB
Answered by Meghan B. Maths tutor
2714 Views

Factorise Completely 8x^2 + 4xy

The answer is 4x(2x+y).The point of factorising is to find the common factor of the two variables in the original equation. Once we've found the common factor (4x in this instance), we bring it to the out...

YH
Answered by Yusef H. Maths tutor
13902 Views

Show that (x + 1)(x + 2)(x + 3) can be written in the form ax3 + bx2 + cx + d where a, b, c and d are positive integers.

(x + 1)(x + 2) = x^2 + 2x + x + 2 = x^2 + 3x+2therefore(x + 1)(x + 2)(x+3)= (x^2+3x+2)(x+3) = x^3 + 3x^2 + 2x + 3x^2 + 9x + 6 = x^3 + 6x^2+ 11x + 6where a=1 b=6 c=11 and d=9expansion of brackets can be do...

JT
Answered by Jeremy T. Maths tutor
2886 Views

For the equation 7x+3y=10x/y make x the subject.

7xy+3y2=10x 3y2=10-7xy 3y2=x(10-7y) 3y2/10-7y=x

TH
Answered by Tom H. Maths tutor
3860 Views

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