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How do I solve a simple simultaneous equation?

Simultaneous equations pop up all the time in maths, science, and engineering, so being able to solve them is really useful. Although they can look a bit daunting at first, the same general rules apply to so...
JM
Answered by Joe M. • Maths tutor
5317 Views

Trolley A weighs 5kg and is moving at 15m/s to the right. It collides with a stationary Trolley B, weighing 10kg more than Trolley A. After the collision they move off together. Calulate the velocity that they move off with.

To start with, we should work out all of the quantities we need: Mass of Trolley A: M A = 5kg Mass of Trolley B: B weighs 10kg more than A --> Therefore M B = 10 + 5 = 15kg Mass of Both Trolleys together:...
JD
Answered by Joshua D. • Physics tutor
8137 Views

Solve the equation log(1-x) - log(x) = 1 where log() is the logarithmic function, base 10.

From the rules of logarithms, we know that: log(A) - log(B) = log(A/B) and thus: log(1-x) - log(x) = log[(1-x)/x] Therefore from the question, we know: log[(1-x)/x] = 1 If we then take both sides of the equa...
JD
Answered by Joshua D. • Maths tutor
22796 Views

Describe the four moraine landforms found in glacial environments.

'Moraine' is a term given to pieces of rock transported by a glacier, and can my divided into four different categories. 'Ground Moraine' is a collection of rock dragged underneath a glacier as it moves down...
CB
Answered by Calum B. • Geography tutor
5318 Views

What precisely is autoregulation in the kidney? Is it solely the ability to vary the diameters of the afferent and efferent arterioles? If so how is this controlled?

Autoregulation is the ability of any vascular bed to maintain its capillary blood supply/perfusion pressure fairly constant despite changes in mean (systemic) arterial pressure. Autoregulatory control must b...
SM
Answered by Steffi M. • Biology tutor
4303 Views