Top answers

Find the value(s) of x which satisfies the equation 3x^2 + 6x + 3 = 0

First we must multiply the coefficient of x2 by the value with no x associated with it3x3 = 9Now we must find two numbers that add to make 6 and multiply to make 9+6x9 3 and 3Now we need to split the coeffic...
JG
Answered by Jacob G. • Maths tutor
3218 Views

The line L1 is given by the Equation y =3x+5, and the line L2 is given by the Equation 4y-12x+16=0. Show that the lines L1 and L2 are Parallel

Rewrite the equation for L2 to find an equation for y4y=12x-16; y = 3x - 4 2. The x-coefficient gives the gradient (or slope) of the line, so since the gradient of L1 is 3, and as we have just shown, the gra...
WS
Answered by William S. • Maths tutor
4979 Views

Solve the simultaneous equations for x and y: 3x+3y=5 and 6x+5y=9

3x+3y=5 6x+5y=9Multiply the first equation by 2 to get a workable x coefficient:6x+6y=10Write the equations above each other and subtract them:6x+6y=10 - 6x+5y=9 y = 10-9y = 1 By substituting your answer for...
JC
Answered by Joe C. • Maths tutor
3778 Views

Find the coordinates of the point of intersection between the line L:(-i+j-5k)+v(i+j+2k) and the plane π: r.(i+2j+3k)=4.

By inspection we can tell that the line and the plane are not parallel. Since the dot product between the direction vector of the line with the perpendicular vector of the plane was not equal to 0 (i.e. b.n≠...
LV
Answered by Liam V. • Maths tutor
3850 Views

Expand (x+6)(x-3)

There are 2 handy ways of remembering how to do these questions, so I'll show you both and you can tell me which you like best. What's important to remember is to make sure you times everything in the first ...
TU
Answered by Tom U. • Maths tutor
12430 Views