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If I know the length of the hypotenuse and one angle, how do i find the length of the side opposite to the angle?

In this problem, we are concerned with the hypotenuse and the opposite sides of the right angle triangles. From SOHCAHTOA we can see that the opposite (O) and hypotenuse (H) are associated with the sine f...

JC
Answered by Jake C. Maths tutor
2636 Views

What is the equation of the straight line passing through the points (2,3) and (3,5)?

There are three steps to solving these types of straight line problems. 1) Find the gradient (slope) of the line. 2) Find the point slope formula. 3) Solve for y.1) The gradient (m) of the line bet...

OM
Answered by Omar M. Maths tutor
4910 Views

What are the stationary points of the curve (1/3)x^3 - 2x^2 + 3x + 2 and what is the nature of each stationary point.

Firstly, a stationary point is a point on the curve where the gradient of the tangent line is equal to 0. Here, this occurs at points where the first derivative of f(x) = 1/3x

OM
Answered by Omar M. Maths tutor
6751 Views

Expand and simplify: (10-x)/2 = 2x - 6

This is a typical example of a 3 mark question on a GCSE higher paper. The first mark would be awarded for multiplying both sides of the equation by 2, and then expanding the brackets:10 - x =2(2x-6)10 - ...

AG
Answered by Amy G. Maths tutor
2954 Views

Given a graph of y = f(x) how do you sketch a graph of y = f(x)+4, y = f(x-5), y = -f(x+4) or any other similar transformations

For y = f(x)+4: the graph undergoes a translation of (0,4) For y = f(x-5): the graph undergoes a translation of (5,0) For y = -f(x+4): the graph is reflected w.r.t the x-axis and translated by (-4,0)*imag...

JE
Answered by Jack E. Maths tutor
3668 Views

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