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The diagram shows a garden in the shape of a rectangle. All measurements are in metres. The length of the rectangle: 4+3x and the width of the rectangle: x+6. The perimeter of the garden is 32 metres. Work out the value of x

Perimeter of a rectangle is the sum of all the sides. Therefore: 2(4+3x) + 2(x+6) = 32. Then, you expand: 8+6x+2x+12=32. Then, 8x+20=32. Finally, 8x=12, meaning that x=3/2.
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Answered by Sayakki P. • Maths tutor
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How do you solve an equation like x^2+3x-4=0

There are many ways of solving this equation, which is called a second order polynomial (where the order describes the highest power of x), let's focus on the most general for now: the quadratic formula. For...
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Answered by Victor L. • Maths tutor
3662 Views

c is a positive integer. Prove that (6c^3+30c) / ( 3c^2 +15) is an even number.

Our starting equation (6c 3 +30c) / ( 3c 2 +15) can be factorised by 6c on the top row and 3 on the bottom row so you get 6c(c 2 +5) / 3(c 2 +5). Because (c 2 +5) is on the top and bottom row it can be cance...
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Answered by Lenya A. • Maths tutor
6531 Views

A basketball player throws his ball vertically upwards with an initial speed of v=40 m/s. Ignore air resistance. What is the speed of the ball at half of the maximum height?

Since we are neglecting air resistance the energy of the ball is conserved. We set the gravitational potential energy to be U=0 at h=0. Applying conservation of energy at h=0 and h=h max , we get: U 1 + K 1 ...
AM
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How do I multiply two brackets without missing terms when multiplying?

In order to answer these sorts of questions where you have double brackets and need to expand them it is useful to use the FOIL (First Outer Inner Last) method. By using this systematic method it ensures you...
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Answered by Andrew R. • Maths tutor
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