Top answers

Solve the simultaneous equations: y=x+1, x^2+y^2=13

We already have an expression for y, so we can substitute this in:x 2 +(x+1) 2 =x 2 +(x+1)(x+1) = x 2 +x 2 +2x+1=2x 2 +2x+1 and hence 2x 2 +2x+1=13 and so 2x 2 +2x-12=0Now look for common factors. Here we ca...
LC
Answered by Lauren C. • Maths tutor
7710 Views

Using trigonometric identities, show that (cos(x) + sin(x))^2=1+sin(2x)

First being by expanding the brackets of the formula on the left: (cos(x) + sin(x)) 2 = (cos(x) + sin(x))*(cos(x) + sin(x)) = cos 2 (x)+2cos(x)sin(x)+sin 2 (x).Now we must use our understanding of trigonomet...
Answered by • Maths tutor
6795 Views

Explain how the carbon is recycled into the growth of new leaves

Microorganism decompose the lead leaves from the old tress. They break up the leaves and release the nutrient and carbon into the environment. the new leaves photosynthesis and use the Carbon that was broken...
GC
Answered by Glen C. • Biology tutor
17159 Views

differentiate tanx

tanx = sinx/cosxapply the quotient rule use the identity cos^x + sin^x = 1 to simplify
AM
Answered by ayaz m. • Maths tutor
4273 Views

When do I use the subjunctive in French?

The subjunctive form is gradually becoming less common in French, however it is important to be able to recognise this mood in writing. Its formation is simple:take the third-person present plural form of th...
SS
Answered by Stephen S. • French tutor
2099 Views