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Maths
GCSE

Express x^2+2x+4 in the form (x+a)^2 + b, hence find the stationary point of the curve.

Step 1) x2+2x+4 = (x+1)2+3Step 2) Minimum point occurs at (-1, 3)
I can use the whiteboard to explain it better.

AN
Answered by Anton N. Maths tutor
5828 Views

Work out the equation of the tangent to a circle of centre [0,0] at the point [4,3]

We know that: (1) the radius of the circle to the point [4,3] is perpendicular to the tangent line, (2) if two lines are perpendicular, their gradients are negative reciprocals of each other, and (...

JS
Answered by Jamie S. Maths tutor
6632 Views

How would you convert a recurring decimal to a fraction?

With this question, it is useful to work with a specific example, so let’s take the recurring decimal 0.27. The first step in converting it to a fraction is to set it equal to x, this will help us with ou...

ML
Answered by Matthew L. Maths tutor
4536 Views

Let f(x)= 5x-10 and h(x)= -5/x. A) Find fh(x). B) Find hf(x)

A) Find fh(x) This question is asking you to find the result when the function h(x) is sent through f(x). It is also not giving any numbers so the answer should be in terms of x. To answer this you should...

IS
Answered by Isobelle S. Maths tutor
5631 Views

Find the length of the longest side in this triangle.

Diagram of triangle with a right angleTwo sides on the right angle = a & b
a2 + b2 = c2
Therefore, if a = 5 and b = 12: then c = 13.

CM
Answered by Colette M. Maths tutor
2575 Views

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