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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).
a²+ b² = c²

Answered by Zhane E. • Maths tutor

2832 Views

When do we use the imperfect tense and how is it formed?

The imperfect tense is used for continuous, ongoing actions in the past. It is often used for descriptions (when we are 'setting the scene') in the past, and it is used when we talk about things that we '...

Answered by James H. • French tutor

1796 Views

The curve C has equation f(x) = 4(x^1.5) + 48/(x^0.5) - 8^0.5 for x > 0. (a) Find the exact coordinates of the stationary point of C. (b) Determine whether the stationary point is a maximum or minimum.

Part a:f(x) = 4x^1.5 + 48x^-0.5 - 8^0.5Finding the gradient function, f'(x) = 6x^0.5 - 24x^-1.5At the stationary point, the gradient is zero, so f'(x) = 0...

Answered by Shashank P. • Further Mathematics tutor

2661 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 - 6x²
As dy/dx represents the gradient, we know that for a stationary point the gradient must be zero, hence for the...

Answered by Bradley W. • Maths tutor

5507 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 x², 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 quadr...

Answered by Annunzia C. • Maths tutor

26747 Views