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Maths
GCSE

Show that the square of any odd number is an odd number

We can talk about any integer (or whole number) with the variable n. n could be any integer, 2, 3 or 100 or 5 billion and 1!If n is any integer, then what numbers could be written as 2n? These are the eve...

AT
Answered by Alice T. Maths tutor
4061 Views

Solve simultaneously, 2x-3y=16 and x+2y=-6

In order to solve this we need to make two of the terms the same and use an elimination method so we are left with only one unknown rather than two. We will multiply x + 2y = -6 by 2 in order to get 2x + ...

GG
Answered by Gemma G. Maths tutor
5235 Views

The y-intercept of A is 7. A also passes through point (7, 2). (a) Find an equation of A in the form y = mx + c. (b) B is perpendicular to A and also has a y-intercept of 7. Write down the equation for B in the form y = mx + c.

(a) y-intercept = (0,7); other point = (7,2) ; gradient, m = change in y / change in x ; m = (0 - 7) / (7 - 2) => m = -7/5 ; y = mx + c (we know from the question that c=7) ; y = (-7/5)x + 7(b) gradien...

OT
Answered by Oliver T. Maths tutor
2436 Views

Prove that the multiple of an even number and an odd number is always even.

2n is even, so (2n+1) is odd ; Multiplying even by odd gives: 2n(2n + 1) ; which is a multiple of 2, thus even * odd = even.

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Answered by Oliver T. Maths tutor
4719 Views

A person leaves their flat at 8:00am and travels to work at an average speed of 32 mph. They arrive at work at 9:15am. Calculate the distance they travel to work.

SUVAT equations give s = vt ; v = 32mph ; t = 1h 15mins = 1.25h ; s = 32 * 1.25 = 40 miles

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Answered by Oliver T. Maths tutor
2643 Views

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