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A cuboid has length x cm. The width of the cuboid is 4 cm less than its length. The height of the cuboid is half of its length. The surface area of the cuboid is 90 cm^2 . Show that 2x^2 − 6x − 45 = 0

Take each side of the cuboid as an algebraic expression and multiply each by 2 to account for both sides of the shape. For example, (x)(x-4), which could be expanded to x 2 -4x, and then multiplied by 2 to r...
TM
Answered by Tom M. • Maths tutor
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How does one find the equation of a line passing through 2 points of a graph?

The general equation for a line on a graph is: y = mx + b ,where a is called the slope of the graph and b is the y-intercept(or the point where the line crosses the y axis). Let's assume the 2 points have th...
DD
Answered by Dimitar D. • Maths tutor
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f(x) = x^3 - 13x^2 + 55x - 75 , find the gradient of the tangent at x=3

f(x) = yy= x 3 - 13x 2 + 55x - 751) find f'(x) [=dy/dx] Differentiation is (1) multiplying the coefficient by the original power --> 2) reducing the original power by 1dy/dx = 3x 2 - 26x + 55 2) find f'(3...
KO
Answered by Kiitan O. • Maths tutor
4031 Views

How effective were the policies of British governments, in the years 1789 to 1812, in controlling popular discontent?

Paragraph 1: Firstly, in terms of ‘how effective’ the policies were in ‘controlling’ popular discontent, it is important to register that different perspectives will lead to different conclusions, with popul...
SB
Answered by Sarah B. • History tutor
5503 Views

Solve the simultaneous equations: 3x + 2y = 4 and 4x + 5y = 17

Step 1: multiply one or both equations so that the 2 equations have the same coefficient for either x or y (pick easier one) 5(3x + 2y) = 5(4) --> 15x + 10y = 20 AND 2(4x + 5y) = 2(17) --> 8x + 10y = 3...
RD
Answered by Rania D. • Maths tutor
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