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

Two lines are parallel if they have the same gradient. The general equation for a straight line is y=mx+c, where m is the gradient and c is the y-intercept. If these lines are parallel, then m will be the...

Answered by Zoe M. • Maths tutor

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How can you solve an equation with unknowns in the denominators?

First, you should make it so that each fraction has a common denominator. This will usually be done by multiplying the numerator and the denominator of the fraction by the same expression (this is accepta...

Answered by Joshua R. • Maths tutor

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express the number 84 as a product of its prime factors

84/2 = 4242/2 = 2121/3 = 77 /7 = 1therefore answer is 2x2x3x7

Answered by Hannah B. • Maths tutor

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How can I use the Pythagoras' Theorem to work out the length of a missing side of a triangle?

We have the triangle ABC. AB = 3 BC = 4 AC = ?
By inputting these numbers into the Pythagoras' Theorem, we can out the length of the missing side (AC).
a²+ b² = c²

Answered by Zhane E. • Maths tutor

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Show that (x + 1)(x + 2)(x + 3) can be written in the form ax3 + bx2 + cx + d where a, b, c and d are positive integers.

lets expand the first two brackets first, so x * x gives x², x * 2 gives 2x, x * 1 gives x and 1 * 2 = 2. 2x and x are both in terms of x so we add these together to get 3x, giving us the quadr...

Answered by Annunzia C. • Maths tutor

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