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Find y and x of the to following equations: x +3y = 11 and x + 2y = 9.

This question can be solved using the elimination method. Set out the problem as follows: x+3y=11 - x+2y=9 0+y=2 => y=2 Therefore one can substitute the value of y obtained in to any one of the two eaquat...
MB
Answered by Munisha B. • Maths tutor
7179 Views

express the following fraction in the form of m + (n)^1/2. the fraction is ((3*(5)^1/2)^2 - 7)/(3 + 7*(5)^1/2). where m,n are real numbers.

first of all you would see that at the bottom of the fraction it is not an integer so first of all you would need to rationalise the denominator. the denominator is the bit at the bottom of the fraction. You...
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Answered by Hugh C. • Maths tutor
3721 Views

Suppose that you go to a party where everyone knows at least one other person, you get a bit bored and wonder whether there are at least two people which know the same number of people there.

To get our head around a problem like this is always very useful to think of a few examples. First supposed that this party is a bit borining and there are only 2 people, then by assumption they know each ot...
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Answered by Andrea S. • Maths tutor
4129 Views

How do you solve trigonometric equations?

To help explain we will use the following example: Show that cos(2x) = 2cos 2 x - 1. Hence solve the equation cos(2x) + cosx = 0 for 0 o < x < 360 o . Answer: We know from our sum-difference formulas t...
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Answered by Jessica Y. • Maths tutor
5585 Views

A particle of weight 15N is resting on a plane inclined at an angle of 30°. Find : a) the normal force exerted on the particle, b) the coefficient of friction between the particle and the plane, providing it is in limiting equilibrium

The normal force can be calculated using cos(30)x weight = 12.99N From the equation F=μN, μ can be calculated as F/N and as it is at rest F is equal to component of weight parallel to the plane Therefore, F=...
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Answered by Tamara H. • Maths tutor
3705 Views