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Solve the simultaneous equations 2x + y = 8 and 3x + 2y = 14

We want to make the number in front of either x or y the same in both equationsSo we multiply the first equation by 2(2x x 2) + (y x 2) = (8 x 2)4x + 2y = 16We then subtract the second equation from our new ...
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Answered by Roshene M. • Maths tutor
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A ball of mass m is thrown with velocity of (7i + 4j) m/s from a height of 1m. After some time it hits the ground. Find the: a) ball's maximum height b) speed it hits the ground c) distance travelled

Projectile problem solved using SUVAT--- a) Maximum Height - consider only vertical components: u = 4 m/s, a = -9.81 m/s2, v = 0 ( at maximum height vertical speed is 0), s = ? - Use v 2 = u 2 + 2a (s-1) = 0...
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Answered by Lucy M. • Maths tutor
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When a performer exercises, blood is redistributed to different parts of the body. Explain two ways in which the body redistributes blood during exercise.

(4 marks)Vasoconstriction – arterioles feeding the organs that don't need blood during exercise become smaller therefore blood is redirected away from these tissues.Vasodilation – arterioles feeding the area...
OV
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From factorising a^2-b^2 hence or otherwise simplify fully (x^2 + 4)^2 - (x^2-2)^2

This question is a GCSE Higher tier style question. First the student should recognise that a 2 -b 2 = (a-b)(a+b). Using this to solve (x 2 +4) 2 -(x 2 -2) 2 - Where a = (x 2 +4) and b = (x 2 -2). Therefore ...
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Answered by Mythili S. • Maths tutor
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What is the function of a chloroplast?

They are where photosynthesis takes place, providing food for the plant. Chloroplasts contain chlorophyll pigment, which makes it green, which harvests the light needed for photosynthesis.
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Answered by Louisa B. • Biology tutor
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