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x - 2y = 1 , x^2 + y^2 = 13 find the solutions to this quadratic equation

equation 1) x - 2y = 1equation 2) x 2 + y 2 = 13 Rearrange equation 1 to: x = 1+2ysubstitute into equation 2: (1+2y) 2 + y 2 =13expand first bracket: (1+2y)(1+2y) +y 2 =13(1+4y+4y 2 ) +y 2 = 13Collect like t...
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Answered by Caitlin S. • Maths tutor
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solve y=3x+4, x=y+1

Equation 1) y=3x+4Equation 2) y=x+1 Rearrange equation 2 into terms of x as this is the simplest: x= y-1 (We do this by subtracting 1 off of each side to get X by itself)Substitute new equation 2 into 1: y=3...
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Answered by Caitlin S. • Maths tutor
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Explain through Darwin's Theory of evolution how species become better adapted to their environment.

Darwin's Theory suggests that all populations have variation between them, this variation is primarily caused by mutations in DNA. If an individual within a species gains a beneficial mutation it will be mor...
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Answered by Caitlin S. • Biology tutor
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What is the difference between nature and nurture?

The nature vs nurture debate is about whether behaviour is caused by our genetics or whether all behaviour is learnt. Genetics refers to our DNA; what we are born with which is determined by our parents' DNA...
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Answered by Lisa P. • Psychology tutor
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Factorise x 2 − x − 12

X 2 - X -12 look at what numbers will add together and make 12. (2x6) or (3x4)Then see what of these combinations, when added together, makes -1. you have to consider that one of these values will be negativ...
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Answered by Vicky V. • Maths tutor
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