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This is a question from a past paper: https://prnt.sc/r6jnxc

The answer is in the same image as the question.
MS
2365 Views

Simplify fully the expression ( 7x^2 + 14x ) / ( 2x + 4 )

The first thing we try to do is factorise the numerator and denominator. Let's start with the numerator. We can take a 7 out of the bracket to leave us with 7( x 2 + 2x ) on the numerator. But we're not done...
CB
2861 Views

Work out the coordinates for the stationary point of y = x^2 + 3x + 4

dy/dx = 2x + 3dy/dx = 0 at stationary pointTherefore 2x + 3 = 0so x = -3/2so y = (-3/2)^2 +3 (-3/2) + 4so y = 9/4 - 9/2 + 4therefore y = 7/4so the coordinates of the stationary point are (-3/2 , 7/4)
IM
4240 Views

Plot the graph of 1/x for x greater than 0.

This can seem quite tricky at first, so let's break it down into steps. If we draw a table of x values (for example 0, 1, 2, 3, 4), we can put each value into our equation and find a corresponding value of y...
OT
3529 Views

A circle has equation x^{2}-8x+y^{2}-6y=d. A line is tangent to this circle and passes through points A and B, (0,17) and (17,0) respectively. Find the radius of the circle.

Gradient of line: (0-17)/(17-0)= -1 equation of line: y-y 1 =m(x-x 1 ) y-17=-1(x-0) y=17-x equation of circle: (x-4) 2 +(y-3) 2 -25=d (completing the square) (x-4) 2 +(y-3) 2 =d+25 Substitute equation of lin...
AH
2880 Views