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Solve the simultaneous equations 2x + y = 7 and 3x - y = 8

There are three methods for solving simultaneous equations: elimination, substitution and by using graphs.Elimination is a good method in this case as the y terms are equal in both equations. We just add the...
TJ
Answered by Tia J. • Maths tutor
7683 Views

Show that a mass on a spring obeys simple harmonic motion.

Let the mass be m . Let the natural length of the spring be L . The defining equation of simple harmonic motion (SHM) is that the acceleration is proportional to, and acts in the opposite direction to, the d...
TJ
Answered by Tia J. • Physics tutor
7939 Views

Prove the change of base formula for logarithms. That is, prove that log_a (x) = log_b (x) / log_b (a).

Firstly, recall the definition of a logarithm: if y = log a (x), then this means that y is the power you have to raise a to, to get x, that is a y = x.Now, we want to introduce a new base, b. Let's take log ...
TH
Answered by Tom H. • Maths tutor
13931 Views

Outline the formation of hotspots and explain their relationship to plate movement.

Hotspots, which occur away from plate boundaries, develop when the decay of radioactive elements in the Earth's core heat magma directly above it in the mantle. The heated magma expands and becomes less dens...
SH
Answered by Sophie H. • Geography tutor
19481 Views

Explain the process of thrombosis?

Throughout the body, blood is transported through vessels (arteries, veins and capillaries). Within the arteries (biggest vessels), different factors can cause the build up of cholesterol in the wall of the ...
JD
Answered by Jessica D. • Biology tutor
4149 Views