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A quadratic curve intersects the axes at (–3, 0), (3, 0) and (0, 18). Work out the equation of the curve

Using the equation y = ax 2 + bx + cCreate 3 separate equations:-a(3) 2 + b(3) + 18 = 0 -a(-3) 2 + b(-3) + 18 = 0 -9a+3b = -18-9a - 3b = -18 add the equations:-9a-9a-3b+3b=-18-18-18a = -36a = 2 Substitute a ...
SS
Answered by Stanley S. • Maths tutor
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Solve the simultaneous equations: 12x - 4y = 12 and 3x + 2y = 12

Method 1 for solving these equations would be to multiply equation 2 (3x + 2y = 12) by 4 so that the x coefficients are equal, this becomes (12y+8x=48). Then subtract equation 1 from equation 2: (12x+8y=48) ...
LH
Answered by Lucca H. • Maths tutor
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Given point A: (5,9), point B: (d,15) and the gradient of line AB is 3... what is the value of d?

First use the gradient equation for a line: difference in y over difference in x:dy/dx = gradienttherefore: (15-9)/(d-5) = 315-9=3(d-5)6=3d-1521=3dtherefore d = 7
JC
Answered by James C. • Maths tutor
3540 Views

Solve the simultaneous equations: 5x + y = 21, x - 3y = 9

Call '5x + y = 21' equation 1 and 'x - 3y = 9' equation 2. To solve this, we need the coefficients of x in both equations to be the same or the coefficients of y in both equations to be the same. Method 1 - ...
BI
Answered by Basil I. • Maths tutor
5224 Views

Factorise 3x+12

We should start by looking for the highest common factor of the 2 numbers involved in the equation (3&12)If you cannot do this immediately in your head, create a factor tree or list the factors3: 312: 2,...
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Answered by Ellis T. • Maths tutor
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