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The perimeter of a right-angled triangle is 78 cm. The lengths of its sides are in the ratio 3: 4 : 6 Work out the area of the triangle.

P1- Find the value of a single unit in the ratio:78/(3+4+6) or (13)= 6
P1- Find the length of the base and the height of the triangle through multiplying the single unit scale by the number of units ...

Answered by Eduardo E. • Maths tutor

2569 Views

Express 56 as the product of the its prime factors.

We will answer this question by drawing a prime factor tree.Start with 56 at the top of the page. Draw two branches coming off 56. 56 = 2 x 28, write 2 and 28 under the separate branches. Circle 2 as it i...

Answered by Daphne P. • Maths tutor

6785 Views

How do I find the stationary points on the curve y = f(x) = x^3+6x^2-36x?

When trying to find stationary points, the first thing you should think about is differentiating. At a stationary point, the gradient of a curve or function is equal to zero. Therefore if we differentiate...

Answered by Luke S. • Maths tutor

4005 Views

Given y=x^2(1+4x)^0.5, show that dy/dx=2x(5x+1)/((1+4x)^0.5)

You have to differentiate the equation y=x^2(1+4x)^0.5 with respect to x to get dy/dx and thereby prove the result in the question. An equation composed of the product of two x terms can be differentiated...

Answered by Alistair G. • Maths tutor

4775 Views

How do you solve inequalities when they involve quadratics? i.e x^2+x-6<0

It is easiest to first solve the quadratic as if it isn't an inequality. This will then help us to sketch the graph of the function which will in turn help us to solve the inequality. So let's change the ...

Answered by Jake M. • Maths tutor

3353 Views