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Maths
GCSE

A curve has an equation of y=2x^2 + 7x -8 . Find the co-ordinates of the turning point

Student will need to understand that the turning point will be a minimum as the curve is positiveStudent should complete the square:1) factorise out the 2: 2(x2 + 7/2 x) - 82) complete the squa...

FH
Answered by Farah H. Maths tutor
2909 Views

Solve the simultaneous equations 3x + y = 23 and 4x + 4y = 52

3x + y =23, 4x +4y=5212x+4y=92, 12x+12y=1568y=64y=8sub in3x+8=23, 3x=15x=5y=8x=5

SB
Answered by Samuel B. Maths tutor
3007 Views

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
4493 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
2529 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
13180 Views

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