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Use factorisation to simplify the following expression (x^2-9)/(x^2-4x+3)

we simplify the top and bottom of the fraction separately. x^2-9 factorises to (x+3)(x-3) using the difference of two squares.x^2-4x+3 factorises to (x-1)(x-3). So the above formula simplifies to (x+3)/(x-1)
JL
Answered by Jack L. • Maths tutor
5278 Views

A baseball player strikes a ball with an initial velocity of 43ms^-1 at an angle of 32° to the horizontal. How far does the ball travel horizontally in 4 seconds?

Since the Initial velocity has a direction that is 32° to the horizontal we can split the velocity into it's components. The horizontal component of the velocity is v x = 43cos(32) (m/s). Since distance = ve...
JL
Answered by Jack L. • Physics tutor
2359 Views

A right-angled triangle has one angle size 60 degrees, and hypotenuse of length 32cm. Calculate the length of the side opposite the 60 degree angle, to 3sf.

Firstly, we want to draw out the triangle. No matter what the question asks, just draw out all the information you're given so that you can see what the question is asking. We've been given a right angle tri...
BR
Answered by Benjamin R. • Maths tutor
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Aspartic Acid and Proline are both part of the 20 basic amino acids. Describe their similarities and differences in terms of their properties.

As we know there are 20 fundamental amino acids used for protein synthesis. Both Aspartic Acid and Proline are such amino acids. They are composed of the typical amino acid carbon skeleton (R-CH-COOH) and of...
DA
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A light bulb is to be put in the middle of a room defined by the coordinates (10,5), (10,25), (20, 5) and (20,25). At what coordinate should the light bulb be placed?

Firstly we should try to establish the geometry of the room, ie identify the lines in which the walls lay. Noticing that two of the points have the same x coordinate of x = 10 suggests that there must be a w...
TL
Answered by Taiwo L. • Maths tutor
3387 Views