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Simplify (2x+3)^2 - (2x +3)(x-5). Give your answer in the form ax^2 +bx +c

Break this down into two parts.
a. Multiply out the 1st bracket, (2x+3)^2: This goes to (2x+3)(2x+3) which is equal to 4x^2 + 9 +6x+6x . Collect the like terms to get 4x^2 +12x +9.
b. Multiply...

Answered by Kenji S. • Maths tutor

9439 Views

A square based pyramid with corners ABCD has side length 6 cm. The distance from the centre of the square (C) to the top vertex of the pyramid (V) is 4 cm. Work out the total surface area of the pyramid.

The first thing I would do with this question is to draw it out to help visualise the shape.From this drawing you can see that the shape has 4 triangle shaped faces (let's call this triangle T1) and 1 squ...

Answered by Matthew E. • Maths tutor

5217 Views

A bomb of mass 34kg, at rest is detonated. The explosion splits the bomb into two pieces, one of mass 13kg, which is thrown to the left at a velocity of 28 m/s. What is the velocity of the second piece?

In a collision where no external forces act linear momentum is conserved.Convention: Right + left -0=-13x28 + 21xVV=17.33 kg m/s to the right

Answered by Rory C. • Physics tutor

1946 Views

There are 10 boys and 20 girls in a class. The class has a test. The mean mark for all the class is 60. The mean mark for the girls is 54. Work out the mean mark for the boys

Find the total number of people in the class 10+20=30
find the total number of marks achieved by the class 60x30=1800
since the mean mark for the girls is 54, you can work out the total marks ac...

Answered by Dessi T. • Maths tutor

4018 Views

Solve 10x - 7 = 4x + 5

Firstly, we want to gather similar terms. This means that we want to rearrange the equation so that all the x terms are on one side of the = sign and all the constants (the "ordinary" numbers) a...

Answered by Mary O. • Maths tutor

4912 Views