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General rule for any right angled triangle: a^2+b^2=c^2, with a and b being the shorter sides and c being the hypotenuse (the longest side). Using the equation: a=7 and b = 11 and c=hypotenuse we want to ...
(1) Get rid of the fraction by multiply both sides by (4-x), we now have y(4-x)=3x+5. (2) Expand any brackets, so 4y-py=3x+5. (3) Rearrange to get all the x to one side: 4y-5=3x+px. (4) Factorise x becaus...
Think about the x-coordinate and the y-coordinate separately. Starting with the x-coordinate:
You see colours due to the length of a wave of light. When a distant galaxy is moving away from us the wavelength increases due to the Doppler Effect (which you may have studied using the sound of a passi...
Step One: Write the first equation and then write the second equation underneath. Label the first equation A and the second equation B. You can now see clearly that each equation contains an x component a...
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