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What is the value of tan(45)?

From our base right angled triangle (base and height of 1) and remembering SOH CAH TOA ( tangent = opposite/adjacent), we can deduce tan(45) = 1 / 1 = 1
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Answered by Bernardo S. • Maths tutor
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Simplify 4x^2 + 10x

Find the highest common factor of each component. H.c.f. of 4 and 10 is 2, so:4x 2 + 10x = 2(2x 2 + 5x)H.c.f of x 2 and x is simply x, so:2( 2x 2 + 5x) = 2x(2x + 5)
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Answered by Bernardo S. • Maths tutor
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There are 720 boys in a school and 700 girls. The probability that a girl chosen at random studies french is 3/5 and the probability that a boy chosen at random studies french is 2/3. What is the total number of students in the school that study french?

The probability that a girl chosen at random studies french is 3/5. This means that out of 700 girls at the school, three fifths (3/5) girls study french. To find out how many girls study french we must find...
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Answered by Zoe P. • Maths tutor
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Solve by factorisation. 3x^2 + 11x – 20 = 0

Factorisation is a skill learned through a lot of practise. For questions with a coefficient of x, I like to use the 'House Method'.Step 1 - multiply the coefficient of x 2 with the constant. =3*(-20)=-60Ste...
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Answered by Peter P. • Maths tutor
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A)Write x^2 – 8x + 25 in the form (x – a)^ 2 + b. (B) Write down the coordinates of the turning point of the graph of y = x2 – 8x + 25. (C)Hence describe the single transformation which maps the graph of y = x2 onto the graph of y = x2 – 8x + 25.

This is a question about completing the square of a quadratic equation. This is used to find the minimum point on a parabolic graph. A) Step 1 - set up the '(x – a) 2 ' term by dividing the coefficient of x ...
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Answered by Peter P. • Maths tutor
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