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How can we express probability?

Probability is how likely something is to happen, and we sometimes here it called chance. So, the probability of something happening means how likely it is to happen. It can be expressed in two main ways: 1)...
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Answered by Luke B. • Maths tutor
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Expand (x+3)(2x+9)

(In terms of formatting, we'll use little x "x" to mean the algebraic variable, and big x "X" to mean multiply). When we see two sets of brackets written next to each other, such as (...)...
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Answered by Luke B. • Maths tutor
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b) The tangent to C at P meets the coordinate axes at the points Q and R. Show that the area of the triangle OQR, where O is the origin, is 9/(3-e)

If I were to get the job, I would get a writing board to help explain this. But to approach this question, it's a good idea to draw the graph. You know that the tangent line is a straight line and as the x a...
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Answered by Sophie H. • Maths tutor
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A scalene triangle has base of 5cm. The angle opposite to the base is 63°, and a second angle is 72°. Find the area of the traingle

Using the sine rule it's possible to find the length opposite to the 72° angle. Therefore: 5/(sin63)=x/(sin72) x=5sin(72)/sin(63)=5.34 At this point, the third angle is needed. Since a triangle has a total s...
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Answered by Alessandro L. • Maths tutor
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The curve C has the equation y = 2e^x -6lnx and passes through the point P with x - coordinate 1. a) Find the equation to the tangent to C at P

y = (2e-6)x + 6
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Answered by Sophie H. • Maths tutor
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