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What is the distance between the points with co-ordinates (3,2) and (7,9)?

This question can be approached using the Pythagoras Theorem, with the line connecting these 2 points being the hypotenuse (longest side of the triangle). Side lengths:1) 7-3=4 2) 9-2=7Therefore, the distanc...
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Answered by Shanmukan S. • Maths tutor
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The perimeter of a right-angled triangle is 72 cm. The lengths of its sides are in the ratio 3 : 4 : 5 Work out the area of the triangle.

Draw the triangle - recognising that it is a right angled trianglefind the scale factoruse the formula: 0.5 x base x height = area To find the scale factor you must divide the total perimeter by the sum of t...
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Answered by Stella C. • Maths tutor
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Solve the Simultaneous Equation: 2x + 3y = 15 and 5x + 4y = 13

Primarily, we should attempt to make either the x or y values of either equation be the same value, or the equivalent negative value. This is so we can add or subtract the equations to leave us with one vari...
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Answered by Luke H. • Maths tutor
9027 Views

Differentiate (3x^2-5x)/(4x^3+2x^2)

We can differentiate the expression using the quotient rule. If f(x)=u(x)/v(x) then f'(x)=(u'(x) v(x)-u(x) v'(x))/v(x)^2. In this case u(x)=3x^2-5x so u'(x)=6x-5 and v(x)=4x^3+2x^2 so v'(x)= 12x^2+4x. Using ...
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Answered by Andras Ivan A. • Maths tutor
5116 Views

Daniel bakes 420 cakes. He bakes only vanilla cakes, banana cakes, lemon cakes and chocolate cakes. 72 of the cakes are vanilla cakes. 35% of the cakes are banana cakes. The ratio of the number of lemon cakes to the number of chocolate cakes is 4:5 Work

2/7 of 420 = 120 vanilla cakes35% of 420 = 147 banana cakes420 - 120 - 147 = 153 chocolate and vanilla cakes4+5 = 9153/9 = 1717*4 = 68
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Answered by Anna F. • Maths tutor
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