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Imagine a sector of a circle called AOB. With center O and radius rcm. The angle AOB is R in radians. The area of the sector is 11cm². Given the perimeter of the sector is 4 time the length of the arc AB. Find r.

11 = 1/2 r²RAB = x = rRr + r + x = 4x2r = 3rRR = 2/3r²R = 22r² = 33r = √33

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Find x and y using the equations 3x + y= 10, x + y = 4

First of all there are 3 different methods of working out simultaneous equations: Elimination, Substitution and Graphical. Today I will show the substitution method.
If x + y = 4 then rearranging the...

Answered by Tobi O. • Maths tutor

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x^3 + 3x^2 + 2x + 12

3x² + 6x + 2

Answered by Jiawang Q. • Maths tutor

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How to perform integration by substitution. (e.g. Find the integral of (2x)/((4+(3(x^2)))^2)) (10 marks)

We begin by looking at the integral by itself. The first thing we must do is evaluate what type of integration we should perform. It's always important to make sure that it's not a standard integral such ...

Answered by Kenneth B. • Maths tutor

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Describe how information passes across a synapse

A chemical neurotransmitter is released from the end of one neurotransmitter, and diffuses across the synapse to bind to transmitters on the next neurone to stimulate an electrical impulse.

Answered by Annabelle K. • Biology tutor

3172 Views