Search our library of Maths questions

Top answers

Maths

All levels

Sean drives from Manchester to Gretna Green. He drives at an average speed of 50 mph for the first three hours. He then breaks and drives the final 150 miles at 30 mph. Sean thinks his average speed is 40 mph ,is he correct?

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...

Answered by Adam B. • Maths tutor

6581 Views

A square is placed in a circle of area (49π)cm^2 such that all four vertices of the square lie on the circumference of the circle. What is the area of the square?

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...

Answered by Karnan S. • Maths tutor

4749 Views

Make x the subject of the formula y=(4x+5)/x

xy=4x+5 xy-4x=5x(y-4)=5x=5/(y-4)

Answered by R P. • Maths tutor

4663 Views

The gradient of a curve is given by dy/dx = 3 - x^2. The curve passes through the point (6,1). Find the equation of the curve.

Since we differentiate a function to find the gradient of a curve at any point, we need to reverse that to find the equation of the curve. We do this by integrating with respect to x:If you have a constan...

Answered by Darya N. • Maths tutor

9899 Views

Points A and B have coordinates (–2, 1) and (3, 4) respectively. Find the equation of the perpendicular bisector of AB and show that it may be written as 5x +3 y = 10.

Formula for a straight line y-y₁=m(x-x₁), where m is the gradient substituting in the values given to find the gradient we get 4-1=m(3+2), therefore m= 3/5the midpoint of the two poi...

Answered by Paige M. • Maths tutor

7878 Views