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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 l...

OB
Answered by Omar B. Maths tutor
2674 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 (2x2+7x-15) comes out as a factor. This can be fa...

SW
Answered by Stanley W. Maths tutor
2959 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 ...

FD
Answered by Fabienne D. Maths tutor
2782 Views

Why is the integral of a function the area?

Say you have two functions, A and B, and A is the gradient of B. That is to say, A is as high as B is steep (at any point). Equally, A is as high as the rate of change of B (at any point). Now let’s say w...

MC
Answered by Madison C. Maths tutor
2895 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...

ML
Answered by Maria L. Maths tutor
2915 Views

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