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A ladder 6.2m long is leaning against a wall. The bottom of the ladder is 0.8m from the wall. Calculate the distance the ladder reaches up the wall, giving your answer to two decimal points.

Using the information given, we can draw a diagram of the ladder leaning against the wall. As the wall is at 90 degrees to the ground, we can see that the ladder, wall and ground form a right-angled trian...

PF
Answered by Pippa F. Maths tutor
10910 Views

Find the two solutions to the quadratic equation x^2-9x+18

The constant 18 can be written in the form 3*6. Therefore the brackets will take the form (x 3)(x 6). In order to find the sign in between them, we have to write -9 using 3 and 6. -9=-3-6 so the brackets ...

FA
Answered by Felix A. Maths tutor
4973 Views

Solve 3(x-2)=21

Firstly, I would explain to the student what exactly the question is asking you to do. When solving an equation we are finding the value of x. I would get the student to read the equation aloud, starting ...

IN
Answered by Imogen N. Maths tutor
13700 Views

What is the integral of x^x?

The integral of x^x can be solved by taking logarithms of the formula and getting xln(x) then using integration by parts it is given than u=ln(x) and dv=x therefore u'=1/x and v=(x^2)/2

using uv-(i...

NS
Answered by Nathan S. Maths tutor
4834 Views

Differentiate the following equation with respect to x; sinx + 3x^2 - 2.

The first step with any differentiation question is to identify which variable you are differentiating with respect to. In this case the variable is x, so we know we're looking to differentiate each term ...

RA
Answered by Ross A. Maths tutor
5010 Views

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