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Why is it important to control body temperature?

Controlling body temperature is important due to multiple reasons. Firstly, it is important to maintain the temprature at which enzymes work optimally. Secondly, it allows for the chemical reactions in th...

Answered by Adriana N. • Biology tutor

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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.

Answered by Sayakki P. • Maths tutor

14523 Views

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. ...

Answered by Victor L. • Maths tutor

2867 Views

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

Our starting equation (6c³+30c) / ( 3c² +15) can be factorised by 6c on the top row and 3 on the bottom row so you get 6c(c²+5) / 3(c²+5). Because (c²

Answered by Lenya A. • Maths tutor

5608 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 ge...

Answered by Alexandros M. • Physics tutor

5228 Views