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Solve the simultaneous equations: 5x+5y = 6 7x+3y = 6

Label the equations 1) 5x+5y = 6 and 2) 7x+3y = 6 . Then rearrange equation 1 to make x the subject of the equation: 5x = 6-5y. You would then simplify this equation to find the equation for x: x = 6/5 - y. ...
IB
Answered by Isobel B. • Maths tutor
4076 Views

If a semi-circle has radius 4cm, work out the area of the semi-circle

The formula for the area of a circle is pi r 2 ,therefore for semi- circle, the formula becomes1/2 pi r 2 Using our known values this is 1/2 pi*16 (4 2 )Using a calculator this gives the value25.13 (2 d.p)
BS
Answered by Ben S. • Maths tutor
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Plot out y= x^2 - x - 2 for values of x from -3 to +3 and label the turning point

x y-3 10-2 4-1 00 -21 -22 03 4 And then be able to plot out these points on a simple graph. The x-coordinate of the turning point is half way between the two points at which the curve crosses the x-axis. Ins...
TD
Answered by Tutor118205 D. • Maths tutor
3802 Views

How is the factor theorem used?

The factor theorem is used to determine factors of large polynomials so that we can split large polynomials into a product of linear polynomials. Say we have a cubic polynomial of the form f(x)=x^3+bx^2+cx+d...
RD
Answered by Rob D. • Maths tutor
3973 Views

Solve 4x/(x+1) - 3/(2x+1) = 1

Firstly multiply through by (x+1)(2x+1) to get rid of the fractions and then expand the brackets. Then gather the terms on one side to get a quadratic equation (ie 3x^2 - x -2=0) and then simply solve this e...
RB
Answered by Raban B. • Maths tutor
4340 Views