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Make a the subject of a + 3 = (2a + 7) / r

Multiply both sides by r: ra+3r = 2a + 7Move a to one side: ra -2a = 7-3rFactorise left hand side: a(r-2) = 7-3rMultiply both sides by (r-2): a= (7-3r) / (r-2)
TG
Answered by Tilly G. • Maths tutor
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Solve 5x^2 = 10x + 4 Give your answers to 2 decimal places. [4 marks]

5x^2 = 10x + 4 5x^2 - 10x = 4 5x^2 - 10x - 4 = 0 ax^2 +bx +c = 0 x = (-b (+/-) ( b 2 -4ac) 1/2 ) /(2a) x = (--10 (+/-) ((-10) 2 - (4 x 5 x -4)) 1/2 )/(2 x 5) x = (10 (+/-) (100 + 80) 1/2 )/10 x = (10 (+/-) (...
JT
Answered by JOSHUA T S. • Maths tutor
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what is the difference between remainder and factor theorem?

the remainder theorem helps us find the reminder when a polynomial of degree n f(x)=a n x n +a n-1 x n-1 +.....+a 2 x 2 +a 1 x 1 +a 0 (where a n ,....,a 0 are coefficients) is divided by another polynomial g...
Answered by • Maths tutor
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A block of mass 5kg is on a rough slope inclined at an angle of 30 degrees to the horizontal, it is at the point of sliding down the slope. Calculate the coefficient of friction between the block and the slope.

If the block is at the point of sliding, we know the frictional force, F, is at it's maximuim, F = kR, where k is the coefficient of friction and R is the reaction force.As we know the mass of the block, the...
Answered by • Maths tutor
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work out the area of a trapezium where the height is 4mm, the top length is 8mm and the bottom length is 12.5mm

the formula for area of a trapezium = 0.5(a+b)htherefore, a = 8, b = 12.5, h = 4therefore, the total area would be 41mm squared
RP
Answered by Rianna P. • Maths tutor
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