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Explain how linear simultaneous equations with two variables ("unknowns") differ from single linear equations with two variables. Explain that a single linear equations have multiple, and indeed...

The equation for a circle is pi x radius x radius. So,first we need to find the radius which is half the diameter, 140 divided by 2 equals 70 cm. As the question asks for the answer as a multiple of pi th...

To solve this question, we have to use substitution. We substitute the line equation,y=x+1, into the circle equation so that we get, x^2 + (x+1-1)^2=18. This reduces to 2x^2 = 18, then dividing both sides...

This is a relatively complicated mechanics question requiring the student to put aside their initial assumption and work with the actual meaning of average speed. In order to do this the student must find...

It's always helpful to draw a diagram beforehand.Since we know the area of the circle is (49π)cm², we can work out the radius using A=πr² . Rearranging, we get r = 7cm. Add this info...