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How do I find the intersection of a line and a curve?

Say you are given the equations of both a line and a curve, for example y=x 2 +8x-1 and y=3x-7 , and asked to find where these two intersect. This just means where the two lines would cross or touch if drawn...
LM
Answered by Lauren M. • Maths tutor
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Discuss the role of foreshadowing in Of Mice and men.

There's many instances of foreshadowing in the novella, most of the scenes point towards the tragic ending. Steinbeck frequently hints towards the climax of the novella through his use of dialogue. George in...
AC
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Solve the simultaneous equations 2x + 3y = 4, 3x + 6y = 3

Label the equations (1): 2x + 3y = 4 (2): 3x + 6y = 3We need the same number of x's or y's in the equations, so multiply (1) by 3 and (2) by 2 giving (3): 6x + 9y = 12 (4): 6x + 12y = 6Subtract (3) from (4) ...
SS
Answered by Sophie S. • Maths tutor
10614 Views

Solve the quadratic equation x^2 + 3x + 2 = 0, by factorisation.

We need two numbers, a and b, such that a*b = 2 and a+b=3Looking at the equation it can be seen that 2 and 1 fulfill these conditions.Therefore x 2 +3x +2=0 = (x+2)(x+1)=0This means we need either x+2 or x+1...
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Answered by Sophie S. • Maths tutor
7846 Views

What is the difference between A.C. and D.C.?

A.C. stands for alternating current, and the current constantly changes direction. D.C. stands for direct current, and the current only flows in one direction.
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Answered by Sophie S. • Physics tutor
5559 Views