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Maths
GCSE

A rectangle has an area of 20cm^2. Its length and width are enlarged by a factor of 3. Find the area of the enlarged rectangle.

I'd start by drawing out any rectangle with an area of 20cm^2 and labelling the length and width. Any correct combination will do (i.e. 2 X 10, 4 X 5, 20 X 1 etc.). In this example, I will use 4 X 5 Then ...

Answered by Daniel S. Maths tutor
14798 Views

Solve the quadratic equation 2(x^2) + 3x + 1 = 0

There are two ways to solve this equation. In the first method, we can simplify the quadratic by observation into two linear equations multiplied together, giving us (2x + 1)(x + 1) = 0. We can then set e...

Answered by Joe C. Maths tutor
3996 Views

Solve 3x^2 + 5x +2

By the quadratic formula, where a = 3, b = 5, c = 2 x = -2/3 and x = -1

Answered by Hester P. Maths tutor
3797 Views

A circle has the equation x^2 + y^2 = 25. There is a point P on this circle with coordinates (4,3). A line is drawn tangental to the circle at point P. This line crosses the x axis at point Q. Find the co-ordinates of Q.

(7,0)

Answered by Matthew S. Maths tutor
6280 Views

4x+9y=59.5 and x+y=8. Find the values of x and y.

Firstly, take the second equation and make either x or y the subject, which means to make it either x equals or y equals. To make x the subject, we take y away from both sides giving x=8-y. Then, substitu...

Answered by Bethany K. Maths tutor
4642 Views

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