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The equation of line L1 is y=3x-5. The equation of line L2 is 2y-6x+5=0. Show that these two lines are parallel.

To answer this question, you should make use of the general equation of a straight line: y=mx+c.For two lines to be parallel, they must have the same gradient (i.e. the same coefficient of x- which in the ca...
GJ
Answered by Gurvinder J. • Maths tutor
5827 Views

What is the difference between the mode, median and mean?

All three are types of averages that we can calculate.1, 1, 4, 6, 8, 12, 17 We can calculate the mode by looking at which number is the most frequently occurring number, for example, with the above data, the...
JY
Answered by Jemma Y. • Maths tutor
3561 Views

Expand and simplify (x+5)(x+7)

Front - Outer -Inner -Last (FOIL) x X x = x^2x X 7 = 7x 5 X x = 5x5 X 7 = 35 7x + 5x = 12x x^2 + 12x + 35
EM
Answered by Ellie M. • Maths tutor
12957 Views

find the derivative of f(x) = x^3 + 2x^2 - 5x - 6. Find all stationary points of the function.

Calculate the derivative using the standard rules, in particular (x n )' = nx n-1 . f(x)' = 3x 2 + 4x - 5 Stationary points are where the derivative is equal to 0, i.e. all x such that f(x)' = 0, so solving ...
GM
Answered by Gustas M. • Maths tutor
5472 Views

Show how you can rewrite (x+1)(x-2)(x+3) into the form of ax^3 + bx^2 + cx + d

Split the first equation into three parts, i.e. (x+1), (x-2) and (x+3). Multiply the first two parts to get x 2 - x - 2 , then multiply the result with the third part to get x 3 + 2x 2 - 5x - 6 . All that is...
GM
Answered by Gustas M. • Maths tutor
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