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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.

As we know the ratio of the sides is 3:4:5, label the sides x,y and z respectively. Side x is of length (3/12)*72, side y is of length (4/12)*72 and side z is of length (5/12) 72. Giving, x = 18cm, y = 24cm,...
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Answered by Viresh S. • Maths tutor
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How do you solve these simultaneous equations? 4x + 5y = 8; 2x + 3y = 5

By elimination:(eq1) 4x + 5y = 8(eq2) 2x + 3y = 5By eye you can see that 2x multiplied by 2 is 4x.If we multiply the whole of (eq2) by 2 we get:(eq2.1) 4x + 6y = 10(eq1) 4x + 5y = 8If we subtract the whole o...
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Answered by Wendy L. • Maths tutor
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Expand and simplify (b-4)(b+5)

First expand (b-4)(b+5) b 2 -4b+5b-4*5Simplifyb 2 +b-20
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Answered by Alisha W. • Maths tutor
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Expand and simplify x(2x+1)(x-3)

First multiply the brackets to get: (2x 2 - 6x + x - 3), Simplify to get: (2x 2 - 5x - 3), This is then all multiplied by x to get: 2x 3 - 5x 2 - 3x.
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Answered by George G. • Maths tutor
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Expand and and simplify (x^2 + 7) (x - 1)

Firstly, it is important to understand here that "expand" means multiply the two brackets. A logical approach can be taken to this question. Deal with the first term (x^2) of the first bracket: mul...
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Answered by Sherin T. • Maths tutor
4273 Views