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expand out the bracket (2m - 3)(m + 1).

claw technique: multiply each 'thing' in the first bracket with each 'thing' in the second bracket.2m² + 2m - 3m -3then collect the like terms2m² -1 -3

Answered by Abigail P. • Maths tutor

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Liv and Laura win a lottery of £350,000 and decide to split their winnings according to the ratio 3:4. Work out how much each person receives.

the total number of parts of the ratio is 3+4 = 7. liv will therefore receive 3/7 parts of the total amount, so liv will get 3/7 x 350000 = 150,000Laura will receive 4/7 parts of the total amount, so laur...

Answered by Abigail P. • Maths tutor

7202 Views

write the vector equation of a line passing through (1,-1,2) and (2,2,2).

The vector from (1,-1,2) to (2,2,2) will have direction (2,2,2)-(1,-1,2) which is (1,3,0) so the vector equation is r =(1,-1,2) + s(1,3,0) where s is a scalar.

Answered by • Maths tutor

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At each point P of a curve for which x > 0 the tangent cuts the y-axis at T, and N is the foot of the perpendicular from P to the y-axis. If T is always 1 unit below N and the curve passes through the point (1,0), find the Cartesian equation of the curve.

When faced with a problem like this, it is always a good idea to draw a rough sketch of what might be going on. With the help of a diagram, we notice that PNT is a right angled triangle w...

Answered by Siddharth P. • Maths tutor

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A triangle has sides of length 8 cm, 10 cm and 14 cm. Work out the size of the largest angle of the triangle. Give your answer correct to 1 decimal place.

Utilising the cosine rule: c² = a² + b² - 2abcosC, substitute in the given lengths. We therefore get that 14² = 10² + 8² − 2 × 10 × 8 × cosA . Expanding this expression we then get that 196 = 164 - 160cos...

Answered by Josephine K. • Maths tutor

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