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Prove algebraically that the difference between the squares of any two consecutive odd numbers is always a multiple of 8

(2n+3)^2-(2n+1)^2 4n^2+12n+9-4n^2-4n-1 8n+8 8(n+1), which is a multiple of 8

Answered by Jordan G. Maths tutor
5013 Views

how do you calculate a percentage of a number?

The easiest way to do it is by using a simple equation. You know that the number N you want to find the percentage of is the "total", which means it is 100%. Let's call X the result of the perce...

Answered by Francesca B. Maths tutor
1588 Views

Solve simultaneously, x+y=2 and 4y^2-x^2=11

(1) x + y = 2(2) 4y2 - x2 = 11
Rearrange (1) to x= 2-y & substitute x=2-y into equation (2)
Simplify the new equation to 3y2+4y-15 = 0, use quadratic formu...

Answered by Nicholas N. Maths tutor
3434 Views

The equation of the line L1 is y=3x–2. The equation of the line L2 is 3y–9x+5=0. Show that these two lines are parallel.

The first thing that you should know when wanting to find out if two lines are parallel are the features of a parallel line. These key features include never intersecting lines which means they continue f...

Answered by Karina P. Maths tutor
2462 Views

Solve the simultaneous equation: 3x + 2y = 4 , 4x + 5y = 17

the first thing to do when trying to solve simultaneous equations like this one is to look for a common coefficient. one of these doesn't exist in either equation therefore you have to multiply one or bot...

Answered by Mohammad J. Maths tutor
2471 Views

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