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A roll of card has an area of 43 m^2. A postcard has an area of 125 cm^2. How many post cards can be cut from the roll, assuming there is no wastage? (calculator question)

This question is assessing your knowledge of units and their conversion. Notice that the area units of the roll of card and the postcard are different, so it is important that before we carry out any calcula...
HG
Answered by Hafsah G. • Maths tutor
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The point P, (-1,4) lies on a circle C that is centered about the origin. Find the equation of the tangent to the circle at point P.

The most important fact to remember with this question is that two perpendicular straight lines have gradients related by m 1 = -1/m 2. This can then be used to find the gradient of the tangent by first find...
JA
Answered by James A. • Maths tutor
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Solve "x^2 - 12x - 45 = 0" by completing the square

The equation is of the formx 2 +bx+c=0This means it can be rearranged to(x+(b/2)) 2 =(b/2) 2 -cTaking the square root of both sides leaves us with x. x 2 -12x-45=0(x-(12/2)) 2 -(12/2) 2 -45 = 0(x-6) 2 -6 2 -...
EJ
Answered by Elsa J. • Maths tutor
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How do I expand (x-2)(3x+3) into a quadratic?

The expansion of two brackets containing two terms each is a little more complicated than expanding say, x(3x+3). There is a process to follow for these questions. First, just look at the x term in the first...
WP
Answered by William P. • Maths tutor
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Work out ∛16 as a power of two. (AQA GCSE Higher paper 2017, Q24b)

When you're working with fractional indices, I find the following rhyme really useful:"Fractional indices are like a flower: the bottom's the root, the top's the power".We have a cube root here, wh...
RD
Answered by Ruth D. • Maths tutor
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