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Solve the following simultaneous equations: y-3x+2=0, y^2-x-6x^2=0

(1) y-3x+2=0 (2) y 2 -x-6x 2 =0 Using (1): y=3x-2 Sub y value into (2): (3x-2) 2 -x-6x 2 =0 Expand the brackets: 9x 2 -13x+4-x-6x 2 =0 Group terms: 3x 2 -13x+4=0 Factorise: (3x-1)(x-4)=0 Find roots (set brac...
PA
Answered by Phoebe A. • Maths tutor
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Why is the demand curve downward sloping?

So this may seem a bit odd at first - like why is it the the more of something there is, the less it costs to buy? But it actually makes a lot of sense when we break down the law of demand. The law of demand...
GP
Answered by George P. • Economics tutor
3148 Views

Describe the structure of the heart and its function in the human circulatory system.

The heart is a muscular organ composed of 4 chambers ; the left atrium and right atrium (pl. atria ) and the left ventricle and right ventricle (pl. ventricles ). The left and right sides of the heart are se...
AO
Answered by Aine O. • Biology tutor
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Prove that cos(4x) = 8(cos^4(x))-8(cos^2(x)) + 1

cos(4x) = cos(2(2x)) = 2(cos^2(2x)) - 1 = 2 (cos^2(x) - 1)^2 - 1 = 8(cos^4(x)) - 8(cos^2(x)) + 1
HT
Answered by Harry T. • Maths tutor
7044 Views

Explain the bonding and thus the properties of a carbon allotrope

Diamond- Each carbon atom is bonded to four other carbon atoms with strong covalent bonds in a tetrahedral structure (with bond angles of 104.9 degrees). As all four valence electrons are used for bonding, n...
TD
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