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Maths
GCSE

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.

3+4+5=12
72/12=6
36= 18 46=24 56=30
Area of a right-angled triangle= a
b/2
18240.5= 216

SK
Answered by Saif K. Maths tutor
2521 Views

Prove that the square of an odd number is always 1 more than a multiple of 4

An odd number can be expressed by the formula "2n + 1" where n stands for any integer. Therefore, the square of any odd number can be expressed as:(2n+1)^2 = (2n+1)(2n+1) = 4n^2 + 4n + 1 = 4(n^2...

EB
Answered by Edward B. Maths tutor
3026 Views

What is the range of the function y = x^2?

Every mathematical function has a range and a domain. The range of a function is the set of possible outputs the function has. In this case, we know that our output (y) must be a positive number because i...

MB
Answered by Molly B. Maths tutor
3165 Views

Solve the following quadratic equation by factorization. Show your working.

4x2+20x+8=-16First add 16 to both sides of the equation, this gives 4x2+20x+24=0 We always want to set the equation =0 for a quadratic as we are unable to solve it otherwise.Then we ...

LO
Answered by Lauren O. Maths tutor
2858 Views

Make y the subject of the formula. x=(6+2y)/(3-y)

To make y the subject of the formula you have to rearrange it so that it starts with 'y=' instead of 'x='. Starting with x = (6+2y)/(3-y), if we get rid of the fraction by multiplying both sides by (3-y),...

JT
Answered by Jema T. Maths tutor
5462 Views

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