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Solve the simultaneous equations 3x+2y=13 and 4x+y=14

Multiply the second equation by 2 so that the coefficients of y are equal.(4x+y=14) x2 = (8x+2y=28)Now subtract the first equation from 8x+2y=28.(8x+2y=28) - (3x+2y=13)and you get 5x=15.Divide both sides by ...
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Answered by Natalie B. • Maths tutor
7128 Views

A ladder (length 314 cm) is leaning up against a wall. The length between the ladder and the wall is 1.54 m. At what angle is the ladder leaning up against the wall? Round your answer to 2 d.p.

In situations like this I would always find it best to draw a diagram with all the information we know labelled on it. Firstly, however, notice that our measurements are in different units. You can convert t...
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Answered by Gemma W. • Maths tutor
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Binomial expansion of (1+4x)^5 up to x^2

This question can be treated like a normal binomial expansion question which is commonly seen at A level. The standard binomial expansion is (1+x) n = 1 + nx + (n(n-1)(x 2 ))/2! where 2! is 2 factorialSo in ...
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Answered by Katherine I. • Maths tutor
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How is the perfect tense formed in German?

To form the perfect tense in German you use an auxiliary verb, either 'haben' or 'sein', plus the past participle of the main verb in the sentence. Most verbs take 'haben' when used in the perfect tense, but...
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Answered by Toby P. • German tutor
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Describe the effects of nitrogen and phosohorus fertiliser leaching into a lake

This will cause eutrophication. Under normal circumstances, nutrients are a limiting factor for algal growth. When the fertiliser leaches into the lake, the excess nutrients will therefore allow algae at the...
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Answered by Alasdair R. • Biology tutor
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