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A plane travels at 213 miles per hour. Work out an estimate for how long, in seconds, the plane takes to travel one mile.

213 miles/hour speed = distance/time round 213 to 200 as only an estimate; s=200/1 hour = 200/3600 seconds (then divide by 200 to get time for 1 mile)s = 1/18 at this speed, the plane travels 1 mile per 18 s...
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Answered by Owen W. • Maths tutor
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A right angled triangle has sides a = 3 cm and b = 5 cm, what is the length of side c?

a^2+b^2=c^2Rearrange so that c = sqrt(a^2+b^2) = 5.83 cm
SP
Answered by Samuel P. • Maths tutor
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Factorise 4x+6x^2

This is factorisation by common factor, so we need to write 4x+6x 2 as a product. First we need to find the highest common factor of 4x and 6x 2 so that we can take it out, which in this case is 2x, so we ha...
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Answered by Aoife M. • Maths tutor
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Solve 4(x+3)=2x+8

Expand brackets on LHS 4x+12=2x+8 Collect "like" terms4x-2x=8-122x=-4Divide both sides by 2 to solve for x x=-4/2=-2 Final Answer x=-2
JM
Answered by Joe M. • Maths tutor
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Calculate dy/dx of the following equation: y = 3x^3 - 6x^2 + 2x - 6

dy/dx = 9x^2 - 12x + 2
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Answered by Ahanna N. • Maths tutor
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