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How can I use the Pythagoras' Theorem to work out the length of a missing side of a triangle?

We have the triangle ABC. AB = 3 BC = 4 AC = ? By inputting these numbers into the Pythagoras' Theorem, we can out the length of the missing side (AC). a 2 + b 2 = c 2 AB 2 + BC 2 = AC 2 9 + 16 = AC 2 25 = A...
ZE
Answered by Zhane E. • Maths tutor
3977 Views

A curve has equation y = 20x −x2 −2x3 . (A) Find the x-coordinates of the stationary points of the curve.

Firstly, differentiate the equation to find dy/dx. dy/dx = 20 - 2x - 6x 2 As dy/dx represents the gradient, we know that for a stationary point the gradient must be zero, hence for the stationary points, we ...
BW
Answered by Bradley W. • Maths tutor
6420 Views

Show that (x + 1)(x + 2)(x + 3) can be written in the form ax3 + bx2 + cx + d where a, b, c and d are positive integers.

lets expand the first two brackets first, so x * x gives x 2 , x * 2 gives 2x, x * 1 gives x and 1 * 2 = 2. 2x and x are both in terms of x so we add these together to get 3x, giving us the quadratic (x 2 + ...
AC
Answered by Annunzia C. • Maths tutor
29085 Views

f(x) is defined by f(x) = 3*x^3 + 2*x^2 - 7*x + 2. Find f(1).

f(1) = 3 1^3 + 2 1^2 - 7*1 + 2 = 3 + 2 - 7 + 2 = 0
DM
Answered by Dragos M. • Maths tutor
3582 Views

What is 16^(3/2)

The rule for simplifying indices is to take them one at a time, so separate the problem into 16^(1/2)^3, which is 4^3, which is 64.
JB
Answered by Jonah B. • Maths tutor
5539 Views