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Maths
GCSE

Factorise the expression: 2x^2 + 17x + 21

There are several ways to factorise this quadratic expression, but the best way in my opinon is:

  1. Take the constant in front of the x^2 and multiply it by the standalone constant (i.e. mul...

Answered by Tushar M. Maths tutor
7234 Views

Solve the simultaneous equations: 4x+y=25 and x-3y=16

Lets first give the equations names.

4x+y=25 (A)

x-3y=16 (B)

We want to get the equations so that they have either the same number of x's or same number of y's. So let's multiply equa...

Answered by Michael D. Maths tutor
8435 Views

The area of a rectangle is 8cm^2. It has a length of (3x+1)cm and a width of (2x+5)cm. Work out the value of x.

We know that the equation of the area of a rectangle is width times by length. Therefore:

8=(3x+1)(2x+5)

If we multiply out the brackets we get:

8=(6x2+2x+15x+5), thus, 8=6...

Answered by Oliver C. Maths tutor
11453 Views

Finding the length of the side opposite a known angle while having the hypotenuse length known

Sin x is equal to the length of the opposite side divided by the length of the hypotenuse. So, the length of the opposite side is Sin x multiplied by the length of the hypotenuse

Answered by Amer A. Maths tutor
3449 Views

You area told that y is proportional to x2 and that when y = 75, x = 5. a) Find a formula for y in terms of x. b) Find the value of y when x = 3. c) Find the value of x when y = 1200.

a) when y=75 x=5 and y is proportional to x^2, so the answer is y=___x^2
if x=5, then x^2 = 25, and 75/25=3, so the answer is y=3x^2

b) if x=3, x^2=9, if you multiply this by 3, you get the a...

Answered by Millie B. Maths tutor
3007 Views

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