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Line L1 is y = 4x + 5, line L2 is 4y - 16x -2 = 0. Show that the lines are parallel to each other

4y-16x-2=04y=16x+2y=4x+0.5L1: y=4x+5 L2: y=4x+0.5Both lines have the same gradient and are therefore parallel to each other
MD
Answered by Myles D. • Maths tutor
2743 Views

When rolling two dice, what is the probability of rolling 7?

16.7% or 1/6.The combinations for (dice 1, dice 2) which total 7 are: (6,1), (5,2), (4,3), (3,4), (2,5), (1,6).Total possible cocmbinations = 36.Hence 6/36=1/6=0.166... or 16.7%
KJ
Answered by Krzysztof J. • Maths tutor
3398 Views

(x + a)(x + 3)(2x+1) = bx^3 + cx^2 + dx -12, find the values of a, b, c and d.

This question is an example of expanding algeba and equating coefficients. If the brackets on the left-hand side are expanded the unknown values can be found from the coefficients on the right-hand side.Step...
JS
Answered by Joe S. • Maths tutor
8342 Views

5 Footballs and 3 tennis balls cost £2.30, 4 Footballs and 2 tennis balls cost £1.80. What is the total cost of 1 football and 1 tennis ball?

(simple algebraic substitution equations) assign each an algebraic term to form equations > footballs = f, tennis balls = tequation 1 > 5f + 3t = £2.30equation 2 > 4f + 2t = £1.80 (you could multipl...
TC
Answered by Troy C. • Maths tutor
4192 Views

Rationalise the denominator of 14 / 2 + root3

The denominator in this equation is irrational. This can be seen by the fact that we have a surd (root 3) present, which cannot be expressed as a fraction as is therefore not rational. In order to rationalis...
ET
Answered by Emily T. • Maths tutor
6695 Views