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If (2x+3)/(x-4)-(2x-8)/(2x+1)=1, what is x?

First eliminate fractions; Multiplying both sides by (x-4) gives; (2x+3)-((2x-8)(x-4))/(2x+1)=(x-4) Multiplying both sides by (2x+1) gives; (2x+3)(2x+1)-(2x-8)(x-4)=(x-4)(2x+1) Now simplify the expression; E...
HC
Answered by Hannah C. • Maths tutor
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A ball is thrown out of a window 18m off the ground. It is thrown horizontally at 0.5m/s. Show that it takes about 2s to reach the ground

Using the initial information we can see that the acceleration in the 'y' direction is equal to 'g', so from this we can work out the velocity in the 'y' direction 'V(y)' by simply integrating the accelerati...
AJ
Answered by Adam J. • Physics tutor
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The shortest side of a triangle is 4.3m long. Two of the angles are 45.1 and 51.2 degrees respectively. Find the length of the longest side.

To begin we calculate the third unknown angle in the triangle by taking the two known angles (45.1 and 51.2) away from 180 degrees (remember the interior angles of a triangle sum to 180). We find this angle ...
AJ
Answered by Adam J. • Maths tutor
6087 Views

What is the next number in the sequence?

23 35 47 59 ?First we need to find the pattern in the sequence. We can do this by working out the gaps between the numbers. To work out the gap, we subtract each number from the next one in the sequence.35 -...
MC
Answered by Martin C. • Maths tutor
10453 Views

Why does an absorption spectrum (of eg Helium) show dark lines?

Ignoring the dark lines, we have a continuous colour (visible light) spectrum. The dark lines represent where the photon of a particular wavelength is missing, hence we cant see it. This occurs when the ligh...
JB
Answered by James B. • Physics tutor
9875 Views