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A right-angled triangle has perpendicular sides of length 6cm and 8cm, and a hypoteneuse of 2y cm. Find the length of y.

By Pythagoras' Theorem:(2y) 2 = 6 2 + 8 2 4y 2 = 36 +64y 2 = 9 + 16y 2 = 25y = ±5However, dimensions can only have a positive value. Therefore y=5
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Answered by Emmanuel S. • Maths tutor
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A patient diagnosed with HIV reveals to their GP they have not disclosed this information to their partner. Discuss the ethical issues involved.

This is a typical medical interview question because it tests the students' knowledge of the four pillars of medical ethics - autonomy, beneficence, non-maleficence and justice. The first apect we have to ad...
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Solve the simultaneous equations to find x and y: 3y - x = 12 y + 2x = -3

3y - x = 12 (1)y + 2x = -3 (2)multiply equation (2) by 3: 3y + 6x = -9 (3)subtract equation (1) from equation (3): 3y + 6x - 3y + x = -9 -12 7x = -21 x = -3substitute x into equation (2): y -6 = -3 y = 3answ...
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Answered by Chloe G. • Maths tutor
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Differentiate y = x^3− 5x^2 + 3x

the rule for differentiating in terms of x is to multiply by the power then decrease the power by one. So going through the equation x^3 will be multiplied by 3 and go to x^2 so will be 3x^2. Then its import...
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Answered by Georgia D. • Maths tutor
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I have £300 I want to split between my daughters Megan, Danni and laura in the ratio 3:4:1 respectively. How much money will Danni get?

Firstly, we need to add up how many 'parts' this money is being split into by adding the ratio, 3+4+1 = 8 parts. Now we need to calculate how much one part is equal to by splitting our £300 into the 8 parts....
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Answered by Holly M. • Maths tutor
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