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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...
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Answered by Omar B. • Maths tutor
3637 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...
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Answered by Stanley W. • Maths tutor
3974 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
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Answered by Fabienne D. • Maths tutor
3871 Views

How do we factorise an expression?

Step 1: Find the highest common factor of the terms in the expression eg. 3x+12 . In this expression 3 is the highest common factor of the terms 3x and 12 Step 2: Write the factor outside the brackets eg. 3x...
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Answered by Maria L. • Maths tutor
4004 Views

Simplify p^2× p^5

The answer is P^7 because p is the same in both numbers and their powers need to be added up
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Answered by Alberto A. • Maths tutor
6461 Views