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Solve these simultaneous equations. x^2+y^2=9, x-y+3=0

Rearrage so you have x+3=y, and x 2 +y 2 =9. Substitute the equation into another so you have x 2 +(x+3) 2 =9. Expand the brackets so that you have x 2 +x 2 +6x+9=9. Then you rearrange so it's all on one sid...
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Answered by Adam B. • Maths tutor
6896 Views

A line runs between point A(5,9) and B(11,1). Find the equation of the line. Point C lies on the line between A and B. The line with equation 2y=3x+12 also crosses through point C. Find the x coordinate of Point C.

For the first part it would be a good idea to sketch out the graph. Then using the formula 'change in y/change in x' find the gradient of the line (-4/3). You can then either use the formula y=mx+c and put i...
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Answered by Amelia T. • Maths tutor
3406 Views

How do I find out where two functions meet on a graph?

Both equations should be given with variables of y and x. They may however not be given in the form y=mx+c where m and c are constants, the equation could be given in the form of a circle (y-a) 2 +(x-b) 2 =r...
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Answered by Thomas R. • Maths tutor
3916 Views

How do I intregrate ln(x)?

To integrate ln(x) we will have to use integration by parts. The equation for integration by parts is: ( then equation written on the whiteboard ). In the case of ln(x), let v=ln(x) and let du/dx=1.Then dv/d...
IP
Answered by Isabelle P. • Maths tutor
3772 Views

which expression is equivalent to x^2-4? (x-2)^2 (x-2)(x+2) (x+2)(x+2) x^2(-4)

(x-2)(x+2) because the x values cancel out leaving the integer and x^2 value.
BS
Answered by Bronte S. • Maths tutor
4785 Views