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Maths
GCSE

Solve: x^2 + y^2 = 25 y - 3x = 13

Equation 1) x2 + y2 = 25 Equation 2) y - 3x = 13 First you need to substitute a variable so there is only one unknown in the equation: 2) y = 13 + 3x Substituting this into equation ...

Answered by Lucy W. Maths tutor
10674 Views

Expand and simplify: (5w-6)(2w+7)

So first you need to multiply out the brackets so you can simplify the equation. Remember the acronym FOIL: First, Outer, Inner, Last.10w^2 + 35w - 12w - 42
And then you need to simplify
10w^2 +...

Answered by Emma C. Maths tutor
2977 Views

Edexcel 2017, Q8) A square, with sides of length x cm, is inside a circle. Each vertex of the square is on the circumference of the circle. The area of the circle is 49cm. Work out x.

First we should draw what the question tells us.Draws circle with square inside it
We want to find out some extra information about the circle based on what we have been told.
How can w...

Answered by Alex B. Maths tutor
6033 Views

The diameter of a ring is 19mm. Calculate the area of the ring in cm^2, giving the area to 3 significant figures.

First you must convert the diameter into cm from mm:19/10 = 1.9cmThen you must find the radius of the ring:radius = diameter/2 = 1.9/2 = 0.95 cmThen you can calculate the area:area = 2πr2 = 2 x...

Answered by Mary P. Maths tutor
2773 Views

Solve the simultaneous equation: 2x + y = 18, x - y = 6

First, we simply label the two equations as 'Equation 1' and 'Equation 2' respectively. So we have: Equation 1: 2x + y = 18and Equation 2: x - y = 6. In simultaneous equations, there are two variables: x ...

Answered by Harry M. Maths tutor
3190 Views

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