Top answers

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)^2 ...
GB
Answered by George B. • Maths tutor
5533 Views

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

volume= 1/3( πr 2 )h= 1/3 (3.14x 13x 13)x9= 1592.79 cm 3 (2.d.p) = 1590 cm 3 (3.s.f) r= radius h= perpendicular height
MB
Answered by Meghan B. • Maths tutor
3193 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 outsid...
YH
Answered by Yusef H. • Maths tutor
15632 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 done ...
JT
Answered by Jeremy T. • Maths tutor
3409 Views

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

7xy+3y 2=10x 3y 2=10-7xy 3y 2=x(10-7y) 3y 2/10-7y=x
TH
Answered by Tom H. • Maths tutor
4399 Views