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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 get...
GC
Answered by Georgia C. • Maths tutor
6468 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(b 2 - 4ac)/2a where r is the root or x coordinate where the line crosses the x-axsis (the y coordinate is always 0). If b 2 - 4ac &lt; 0 then to...
NW
Answered by Nick W. • Maths tutor
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Solve, by method of substitution, the simultaneous equations: 5x+y=22 2x+y=10

Solve by substitution:5x + y = 22 (1)2x + y = 10 (2) First let us label the equations 1 and 2. In order to solve this set of equations we need to rearrange one of the equations so that we have one of the var...
AW
Answered by Amy W. • Maths tutor
5531 Views

Solve 8x+ 9 > 1 + 4x

8x + 9 &gt; 1 + 4x . Bring all x values to the Left hand side by subtracting 4x from each side. 8x -4x +9 &gt;1 = 4x +9 &gt;1 Bring all numbers to the right hand side by subtracting 9 from each side 4x &gt; ...
DE
Answered by Dominique E. • Maths tutor
3576 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 where m is the gradient . Rewriting o...
DE
Answered by Dominique E. • Maths tutor
7120 Views