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Work out the value of x and y in the parallelogram ABCD.

5x - 20 = 2x +43 -> 5x-2x= 43+20 -> 3x=63 -> x=21 therefore x=21 (2x+43) + (4y-5x)=180 -> 2x+43+4y-5x=180 (because adjacent angles in a parallelogram equals 180) 4y-3x=180-43 -> 4y= (100-43)+3...
KS
Answered by Kwarteng S. • Maths tutor
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n sweets, 6 are orange, the rest are yellow. Sophie takes at random a sweet. She eats the sweet. Sophie then takes at random another sweet. She eats the sweet. The probability that Sophie eats two orange sweets is 1/3. Show that n² – n – 90 = 0

If Sophie takes a sweet from the bag on her first selection, there is a 6/n chance it will be orange. That’s because there are 6 oranges and n sweets. If Sophie takes a sweet from the bag on her second selec...
OL
Answered by Oliver L. • Maths tutor
3502 Views

Rewrite ... logF=logG+logH−log(1/M)−2*logR ... in the form F=... using laws of logarithms

logF=logG+logH−log(1/M)−2*logR Simplify RHS using law of logarithms, logF=log(G H)−log(1/M)−2logR using law of addition logF=log(G H M)−2 logR using law of subtraction logF=log((G H M)/R^2)) using law of pow...
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Answered by Ambrose R. • Maths tutor
6740 Views

Find the stationary point on the line of y = 6x - x^2 and state whether this point is a maximum or a minimum

This question requires differentiating the equation to find where its gradient is equal to zero. Differentation is done via a simple equation --> if y = x n then dy/dx = nx n-1 Therefore if y = 6x - x 2 ,...
PW
Answered by Percy W. • Maths tutor
6533 Views

Differentiate the following: 5x^3 + 4x^2 + 3x + 2

dy/dx = 15x^2 + 8x + 3 Differentiation was often a question my peers struggled with at gcse and although not necessairly a dominating topic of the syllabus, I found it is an easy way to pick up marks if unde...
CG
Answered by Callum G. • Maths tutor
3898 Views