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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 (3) the for...
JS
Answered by Jamie S. • Maths tutor
8237 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 our a...
ML
Answered by Matthew L. • Maths tutor
7130 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 si...
IS
Answered by Isobelle S. • Maths tutor
6894 Views

Find the length of the longest side in this triangle.

Diagram of triangle with a right angle Two sides on the right angle = a & b a 2 + b 2 = c 2 Therefore, if a = 5 and b = 12: then c = 13.
CM
Answered by Colette M. • Maths tutor
3388 Views

Sarah used to earn 80£ per week, however she was given a 5% pay rise, what are her weekly earnings now?

METHOD 1:Required Formula: Percentage Change(%)=100x(Final value -Initial value)/(Initial value) Percentage Change = 5% (this is positive 5% since Sarah has a price raise, if Sarah had a 5% wage decrease the...
JK
Answered by Jonathan K. • Maths tutor
4258 Views