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Describe the energy transfers taking place when a person is running up a hill

Stored chemical energy from food is converted into kinetic energy (ke) as the person runs. As they are running uphill, the chemical energy is also converted into gravitational potential energy (gpe). The gpe...
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Answered by Amy T. • Physics tutor
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Solve the simultaneous equations: 4x+5y=13 and 3x-2y=27

Equation 1 is 4x+5y=13 - multiply it by 3, Equation 2 is 3x-2y=27 - multiply it by 4, New equation 1 is 12x+15y=39, New equation 2 is 12x-8y=108, Subtract new equation 2 from new equation 1 - 23y=-69 therefo...
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Answered by Thea D. • Maths tutor
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Solve the simultaneous equations: (1) x^2 + y^2 = 25 and (2) y - 3x = 13

Sub (2) y = 13 + 3x into (1)x^2 + (13 + 3x)^2 = 25x^2 + 169 + 39x + 39x + 9x^2 = 2510x^2 + 78x + 144 = 05x^2 + 39x + 72 = 0 (/2)5 72 = 360 - need a b=360 such that a+b=39a = 24 b = 155x^2 + 24x + 15x + 72 = ...
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Answered by Meghna M. • Maths tutor
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differentiate 3x^56

=(3x56)x 55
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Answered by Madalina G. • Maths tutor
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Square ABCD has length (x+3)cm and area 10cm^2. Show x^2 + 6x = 1

First sketch square ABCD. Split length into 3cm and then xcm for side AB and the same for side AD. Split the area of this square into 4 segments (a, b, c and d) such that a is a 3cm by 3cm square, b and c ar...
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Answered by Meghna M. • Maths tutor
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