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Farmer Joe has a rectangular pen to hold his animals. The pen’s length is 5 meters longer than the width. The pen’s area is 84 meters. Find it’s width.

Step 1 define the variables: L stands for the length, W stands for the width Step 2 write what we know algebraically: Since the length is 5 meters longer than the width we have L = W + 5. Finally, the area i...
OB
Answered by Omar B. Maths tutor
3451 Views

Distinguish between direct and indirect tax.

Direct taxes are taxes imposed on people's income or wealth, and on firms' profits. Indirect taxes are also known as expenditure taxes, and are taxes consumers pay to a seller by buying the good and the sell...
AS
7313 Views

Find all three roots of the cubic: 2x^3 +5x^2 - 22x +15=0.

First try a trivial solution, x=0: doesn't work. Then try x=1 this does work so (x-1) is a factor of the cubic. Through algebraic factorisation (2x 2 +7x-15) comes out as a factor. This can be factorised int...
SW
Answered by Stanley W. Maths tutor
3791 Views

Compare attitudes to love as presented in Christina Rossetti's 'Remember' and Shakespeare's 'Sonnet 116'

It’s in their exploration of time’s relationship to love that the two poems differ most starkly. Rossetti acknowledges that time may ultimately trounce her lover's memory of her. Her use of repetition in ‘da...
JS
Answered by Joseph S. English tutor
17994 Views

What do I need the Pythagoras theorem for?

As an example you can use it to calculate the length of the hypotenuse in a triangle. The square of the hypotenuse is equal to the sum of the squares of the other two sides. As a formula a^2 + b^2 = c^2
FD
Answered by Fabienne D. Maths tutor
3662 Views