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Let n be an integer greater than 1. Prove that n^2 - 2 - (n-2)^2 is an even number.

To show a number N is even, we must be able to express it in the form N = 2x for some other whole number x. Let's try to manipulate the given expression to see if we can put it in this form. By expanding the...
SL
Answered by Sam L. • Maths tutor
18430 Views

The equation of line A is y = 6x -4. The equation of line B is 2y - 12x + 14 = 0. Are these two lines parallel?

Line A has a gradient of 6, because it is in the form y = mx + c, where m=6. Line B can be rearranged to y= 6x - 7, so the gradient is also 6. The gradient of both lines is the same, so they are parallel.
ML
Answered by Matthew L. • Maths tutor
3788 Views

Express x^2 +10x -3 in the form (x + p)^2 + q

x 2 +10x-3=(x+5) 2 -25-3= (x+5) 2 -28
CT
Answered by Carmen T. • Maths tutor
7137 Views

3/5 of a number is 162. Work out the number.

If we call the unknown number 'x' we can put it in to an equation to work it out as we known 5/3 of the number is 162.5x/3 = 162then times each side of the equals symbol by 5 to get (3x/5) 5 = 162 35which is...
LM
Answered by Lucy M. • Maths tutor
14244 Views

Calculate 7.6 x 32.5

Treat both numbers as whole numbers - i.e 76 x 325 (remember at the end that there are still decimals!) 76 x 325 = 24,700 ( This will be explained by using the two lines by 1st method or method that the stud...
JH
Answered by James H. • Maths tutor
3697 Views