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Maths
GCSE

Trigonometry: Find the length of side x on the right-angled triangle.

To answer this question it is best to remember SOH CAH TOA.SOH: sin(angle)=opposite (length of side opposite the angle)/hypotenuse (length).CAH: cos(angle)=adjacent (length of side next to the angle)/hypo...

MK
Answered by Molly K. Maths tutor
6038 Views

Factorise: 3x^2 - 9x - 30

The first think you can do is look to see if all of your terms can be divided by a common factor. In this case it is 3, leaving you with 3(x^2 - 3x - 10). This can be factorised further to produce somethi...

FN
Answered by Freya N. Maths tutor
6899 Views

Expand and simplify (x − 4)(2x + 3y)^2

You should start off by separating the brackets as the squared only applies to one of them. We'll deal with that one first. Write the (2x + 3y)^2 as two separate brackets of (2x+3y). Then multiply the fir...

LB
Answered by Lois B. Maths tutor
4886 Views

Factorise and solve x^2 - 8x + 15 = 0

Look for factors of 15 then when adding together equal -8. A solution to this is -5 and -3 as -5 x -3=15 and (-5)+(-3)=-8 . Therefore the factors of the quadratic are (x-5) and (x-3). Make (x-5)(x-3)=0 so...

AS
Answered by Amrit S. Maths tutor
3477 Views

What is the easiest way to solve a simultaneous equation?

While the elimination method can be extremely easy for certain questions, it cannot be applied to all. Therefore, the substitution method is recommended because it can be applied to most cases of simultan...

WA
Answered by William A. Maths tutor
3579 Views

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