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Solve x^2+6x-7 by completing the square.

We know that to complete the square we put the equation in the form (ax+b)^2+c=0. So we must do that to our equation. We will begin by establishing what will be within our squared brackets. As there is no co...
JC
Answered by James C. • Maths tutor
10620 Views

Make a the subject of 3(a+4) = ac+5f .

3a + 12 = ac + 5f 3a - ac = 5f - 12 a(3-c) = 5f - 12 a = (5f - 12)/ (3 - c)
AA
Answered by Armita A. • Maths tutor
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The line AB has equation 5x + 3y + 3 = 0 . (a) The line AB is parallel to the line with equation y = mx + 7 . Find the value of m. [2 marks] (b) The line AB intersects the line with equation 3x -2y + 17 = 0 at the point B. Find the coordinates of B.

Rearrange line into standard form. y=5/3*x +1 For parallel lines the gradient is the same therefore m = 5/3 Point of intersection is where two lines equal eachother multiply out to elminate x term 15x + 9y +...
DH
Answered by Daniel H. • Maths tutor
4569 Views

Rearrange the following to make 'W' the subject: aw + 3 = 4(bw + 5)

aw + 3 = 4(bw + 5) Let's get rid of those brackets... aw + 3 = 4bw + 20 Now we rearrange... aw - 4bw = 17 Factorise... w(a - 4b) = 17 Final rearrange... w = 17 / (a - 4b) Done.
JM
Answered by Jack M. • Maths tutor
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what is the geometrical meaning of the derivative of a function f?

The derivative of a function f(x), usually denoted as f'(x), gives you the gradient of the graph of f(x) for every point x in the domain of f. Therefoore, the derivative of a funtion can show how fast/slow a...
TG
Answered by Theodore G. • Maths tutor
1847 Views