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Find the area between the curves y = x^2 and y = 4x - x^2.

First, we need to draw a diagram, to understand the question more clearly.
y = x^2 is a common curve, but to sketch y = 4x - x^2, we should factorise it, to find where it inersects...

Answered by Lamisah M. • Maths tutor

7507 Views

How do you approach a simultaneous equations problem?

There should be at least as many simultaneous equations as there are unknown variables - or else you cannot get a numerical answer! Start by trying to eliminate one of the variables. You can multiply the ...

Answered by Annie H. • Maths tutor

2944 Views

ABCD is a square of side 10 cm. Each side of the square is a tangent to the circle. Work out the total area of the shaded regions in terms of . Give your answer in its simplest form.

Here it's best to start this question off by drawing a diagram.

Draw a square with each side having a length of 10cm and a circle which touches each side of the square only once (as eacn side of th...

Answered by Benedicty M. • Maths tutor

15652 Views

What is Pythagoras' Theorem and how is it used in exam questions?

Pythagoras' Theorem is an equation used to give us more information about right angled triangles. The theorem itself looks like this: a²

Answered by Tutor96690 D. • Maths tutor

2772 Views

Solve the simultaneous equation 2x-4y=8 and 3x+3y=-15

Set 2x-4y=8 as equation 1, and 3x+3y=-15 as equation 2. Multiply equation 1 by 3 and equation 2 by 4 so they look like 6x-12y=24 and 12x+12y=-60. Now add the two equations and you get 18x=-36 or x=-2. Sub...

Answered by Daniel L. • Maths tutor

3471 Views