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Use simultaneous equations to find the points where the following lines cross: 3x - y = 4 and x^2 + 7y = 5

The points where the lines cross are the points where the two equations equal each other. To do this we solve simultaneous equations. Call equations as follows:(a) 3x - y = 4(b) x 2 + 7y = 5 First take (a) a...
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Answered by Emma M. • Maths tutor
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Find the wavelength of a radio wave if the frequency is 11 x 10 ^6 Hz and the speed of radio waves in air is 3 x 10 ^8 m/s.

The key equation here is v = fL ( v is wave speed (m/s), f is frequency (Hz), L is wavelength (m)). We need to rearrange it to get L (the wavelength). To do this, we divide by f to get L = v/f. Frequency is ...
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Answered by Emma M. • Physics tutor
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(FP1) Given k = q + 3i and z = w^2 - 8w* - 18q^2 i, and if w is purely imaginary, show that there is only one possible non-zero value of z

k = q + 3i and z = k 2 - 8k* - 18q 2 i. Plug k into w to give: z = (q + 3i) 2 - 8*(q - 3i) - 18 q 2 i. k means the compliment of k which just means that the sign before the imaginary value is switched to neg...
EM
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Explain two possible government responses to the abuse of monopoly power.

Monopoly power refers to the ability of a firm to set prices. Legislation is a form to reduce monopoly power. Most countries have laws that try to promote competition by preventing collusion between oligopol...
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Answered by Jasmine S. • Economics tutor
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Why and how have liberals supported the fragmentation of government power?

Fragmentation of government power is the internal form of constitutionalism, which is the practice of limited government through the existence of a constitution. It stems from the liberal belief that "p...
IR
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