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Solve x^2 + 5x – 24 = 0

Being a quadratic equation in the following form,the simplest way to solve would be through the quadratic formula which goes as follows: The first step to solving is therefore to identify a, b, c, within our...
MK
Answered by Mohammed K. • Maths tutor
5865 Views

A boat travels due North at 5km/h for 3 hours, then changes course and sails due east for 2 hours, adjusting his speed to 8km/h. What is his total displacement from his original position?

Begin by setting up the problem with a diagram. Yu should draw a right angled triangle, with currently unknown lengths.2) Calculate the distance travelled for the two parts of the journey. Use Distance = spe...
EC
Answered by Emma C. • Maths tutor
3403 Views

Draw the graph for y = x^2 + 4x +2

This is a quadratic equation. So we know the shape will look something like this: (draw 'smiley face' shape. Plot some points showing for x=2, y = 4. For x =3, y =9. Show symmetry: a negative number squared ...
LO
Answered by Laura O. • Maths tutor
6066 Views

A rectangular frame is made from 5 straight pieces of metal with height 5m and length 12m. One of the pieces of metal goes through the diagonal of the rectangle. The weight of the metal is 1.5 kg per metre. Work out the total weight of the metal

Firstly, I would suggest that we draw a diagram to visualise the problem. Using the diagram and knowledge of rectangles, you can see that the rectangle is made of two right angled triangles. Thus we can use ...
CB
Answered by Charlie B. • Maths tutor
18664 Views

Expand and simplify (3x + 2)(4x - 3).

Firstly, to expand the brackets, we can use the FOIL method to multiply them out. F irst - multiply the first numbers of each bracket. 3x * 4x = 12x^2 O uter - multiply the outer numbers of each bracket. 3x ...
VY
Answered by Vikki Y. • Maths tutor
7680 Views