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Solve the simultaneous equations: 2x + y = 18, x - y = 6

There are two ways to solve simultaneous equations, by substitution or by addition/subtraction. The simplest solution in this case is a method of substitution: Rearrange the simplest equation to get only x o...
KT
Answered by Kieran T. • Maths tutor
6636 Views

The radius of the Earth is 6,400km and has a mass of 6x10^24kg. Calculate the minimum velocity needed by a projectile, fired from the surface of the Earth in order to escape the Earths gravity.

First we write down the relevant information given in the question. R e = 6,400km = 6.4 x 10 6 m, M e = 6 x 10 24 kg.For the projectile to escape the Earths gravity, the projectile must be launched with a ki...
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Answered by Neil C. • Physics tutor
8093 Views

The diagram shows a prism. The cross-section of the prism is an isosceles triangle. The lengths of the sides of the triangle are 13 cm, 13 cm and 10 cm. The perpendicular height of the triangle is 12 cm. The length of the prism is 8 cm. Work out the total

13 x 8 = 1048 x 10 = 800.5 x 10 x 12 = 60 SA = 104 + 104 + 80 + 60 + 60 SA = 408 cm2
RD
Answered by Rebecca D. • Maths tutor
11501 Views

A curve has the equation y = (1/3)x^3 + 4x^2 + 12x +3. Find the coordinates of each turning point and determine their nature.

The turning point of a curve can be visualised in your head (or on paper/screen using diagram) as the point in which the curve charges direction – and at this point the gradient of the curve is equal to 0 as...
DS
Answered by Dan S. • Maths tutor
5765 Views

explain how a cyclotron produces a high energy electron

-cyclotron consists of 2 dees connected to an AC power supply. When an electron is released from a source in the centre of the cyclotron, it is initially attracted towards the positively charged dee, due to ...
TS
Answered by Toby S. • Physics tutor
2925 Views