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Find an equation of the straight line that is perpendicular to the straight line x + 3y = 7 and that passes through the point (4,9).

y = 3x - 3
VP
Answered by Vikesh P. Maths tutor
3765 Views

solve: x^2= 4(x-3)^2

x^2= 4(x^2 - 6x + 9) x^2= 4x^2- 24x + 36 3x^2 - 24x + 36= 0 (x-2)(x-6)=0 x= 2 or x=6
GK
Answered by Ghazn K. Maths tutor
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How do I find the nature of a stationary point

Firstly, note that a stationary point can either be a local maximum, local minimum or point of inflexion. Now suppose you have a differentiable function (a graph which has a unique gradient/derivative at eac...
CC
Answered by Curtis C. Maths tutor
6703 Views

Solve the following equation: x^2 - 11x + 18 = 0

Use the factorisation method. Step 1: Rewrite (x + __ )(x + __ ) = 0 Step 2: We need to fill in the blanks. The numbers we require are -2 and -9. Step 3: We need the values of x, so that when the brackets ar...
TD
Answered by Tutor54985 D. Maths tutor
19345 Views

With log base 4, solve log(2x+3) + log(2x+15) = 1 + log(14x+5)

How might one simplify this? It looks as though raising both sides to the power 4 is the way to go, but it is not immediately obvious how to do this. In order to get both sides into the form 'log of somethin...
SJ
Answered by Sam J. Maths tutor
4264 Views