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Solve the simultaneous equations 3x + 2y = 12 and 10y = 7x + 16

First we need to rearrange both equations into the form ax + by = c (where a, b and c are the integers). We can label these 1. and 2.We then have:3x + 2y = 12 1.7x -10y = -16 2.In order to find the x value, ...
AA
Answered by Anjali A. • Maths tutor
4597 Views

The width of a rectangle is X cm.
 The length is 1·5 cm more than the width.
 The perimeter of the rectangle is 17 cm. Write down an equation satisfied by X
 and solve it to find X.

Let's call the length ' L ', and the width ' X '. Since the length is 1.5cm more than width, we can form the equation: L = X + 1.5 (Equation 1)Let's call the perimeter ' P '. Therefore, we know that P = 17cm...
OD
Answered by Oliver D. • Maths tutor
7834 Views

Write the following in their simplest form: a) 8^0 b) 64^(2/3) c) 0.54545454...

a) 8 0 = 1 b) 64 2/3 = (64 1/3 ) 2 = 4 2 =16 c) 0.54545454... = x 100x = 54.545454.... 100x-x = 54 99x = 54 x = 54/99 x = 6/11
ES
Answered by Emmanuel S. • Maths tutor
3981 Views

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
4089 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
5685 Views