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Maths
GCSE

If we take a number and square it, the answer is also the product of the two numbers either side of it plus one. Prove algebraically that this works for all numbers.

First of all let's give some examples: 5^2=4x6+1 = 25 or 6^2 = 5x7+1 = 36. To prove it for every number let's call the number x (e.g. x was 5 and 6 in the cases above). Then the result we want to prove is...

Answered by Miles M. Maths tutor
2434 Views

The perimeter of an isosceles triangle is 16cm. One of the sides equals to x+3, while the unequal one equals to x+4. Calculate the area of this triangle.

Firstly, we know that it is an isosceles triangle, meaning that 2 of its sides are equal. In this case, the uneven side is given as x+4, so we can assume that the triangle has 3 sides: AB= X+3BC= X+3AC= X...

Answered by Stella K. Maths tutor
2636 Views

Why do the denominators have to be equal when adding fractions, but not when multiplying them?

When adding fractions we need to make sure that we're adding numbers that are in the same proportion.Take for example 1/2 add 1/2, if we simply added the numerator and the denominator we would get 2/4 - w...

Answered by Jacob S. Maths tutor
2183 Views

solve 2x^(2) + 9x +10 = 15

2x^(2) + 9x - 5=0(2x )(x )=0(2x 1)(x 5)=0(2x -1)(x+5)=02x-1=0 or x+5=02x=1 x= -5x= 1/2

Answered by Katie M. Maths tutor
2663 Views

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=6,3x6=18, 4x6=24,Area=1/2 x 18 x 24=216

Answered by Kamil Z. Maths tutor
2223 Views

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