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Maths
A Level

Find the coordinates of the points where the lines y=x^2-5x+6 and y=x-4 intersect.

At the points of intersection the x and y coordinates will be the same. So we can solve the equations simultaneously to see what solutions to x and y solve both equations.Rearrange the second equation to ...

GC
Answered by Georgia C. • Maths tutor
5401 Views

what does it mean if "b^2 - 4ac < 0" for a quadratic equation (eg y = a*x^2 + b*x + c)

The question comes from the quadratic equation r = (-b +- sqrt(b2 - 4ac)/2a where r is the root or x coordinate where the line crosses the x-axsis (the y coo...

NW
Answered by Nick W. • Maths tutor
4857 Views

Determine whether the line with equation 2x+ 3y + 4 = 0 is parallel to the line through the points with coordinates (9, 4) and (3, 8).

Parallel means that the lines have the same gradient/slope. For example, the lines in an equal sign are parallel.Consider the standard equation of a line is: y = mx + c

DE
Answered by Dominique E. • Maths tutor
6121 Views

The circle C has centre (2,1) and radius 10. The point A(10,7) lies on the circle. Find the equation of the tangent to C at A and give it in the form 0 =ay + bx + c.

Whenever possible it is always a good idea to draw a graph to give a better understanding of what is going on in the question. As we have already been given a point on the tangent, namely A(10,7), it is a...

GG
Answered by George G. • Maths tutor
4862 Views

Find partial fractions of : (x+7) / ((x-3)(x+1)^2)

First, separate the algebraic fraction:(x+7) / ((x-3)(x+1)2 = A/(x+3) + B/(x+1) + C/(x+1)2 Multiply both sides by (x-3)(x+1)2: (x+7) = A(x+1)2+ B(x+1)(x+3) + C(...

JV
Answered by Janni V. • Maths tutor
3040 Views

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