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y=x^2-x-2y=(x+1)(x-2)The gradient (dy/dx) measures the rate of the change in y with respect to x. So this can be used to help us find the gradient of a function at any point along it. The question asks the to find the gradient when x=2. So firstly we have to differentiate the curve.dy/dx=2x-1Then substitute the x value in: 2 (2) -1 = 3Therefore the gradient of the tangent is 3

4x+ y = 12 , 2x+ y = 81) find the unknown (either x or y) that has the same coefficient. - In this example it is y2) Take away the equations from one another so you only have 1 unknown - 2x = 43) Divide by 2, to find the value of x - x = 2 4) substitute the newly found value of x back into one of the equations to find the value of y - (4 x 2) + y = 125) Solve equation - 8 + y = 12 , y = 4

3x - y = 5 (A), x + 2y = -3 (B),6x - 2y = 10 (2A) ,7x + 2y +- 2y = 7 (2A) + (B),7x +2y - 2y = 7,7x = 7,x = 1,Sub x=1 -> (A),3(1) - y = 5,3 - y = 5,-y = 2,y = -2**,x = 1, x= -2 **

There are four stages of mitosis: **prophase, metaphase, anaphase** and** telophase.1) Prophase**: chromatin into chromosomes, the nuclear envelope break down, chromosomes attach to spindle fibres by their centromeres **2) Metaphase**: chromosomes line up along the metaphase plate (centre of the cell) **3) Anaphase**: sister chromatids are pulled to opposite poles of the cell **4) Telophase:** nuclear envelope reforms, chromosomes unfold into chromatin, cytokinesis can begin The order of the stages of mitosis can be remembered using the mnemonic **PMAT.**

The majority of verbs take the 'avoir' form when conjugated into the past tense. Such as 'J'ai mangé', 'J'ai fait', 'J'ai téléphoné'. However, certain verbs take the 'etre' form. It is sometimes difficult to be sure as to whether a verb will take the 'etre' when conjugated into the past, but there are a couple of rules that help us to identify them. Firstly, ALL reflexive verbs take 'etre', such as, 'Je me suis lavé', 'Je me suis couché'. Secondly, verbs to do with movement tend to take 'etre'. To help us remember some of these, we use a handy acronym: MRS VAN DE TRAMP. Each letter corresponds with a verb that takes 'etre' in the past: Mourir, Retourner, Sortir, Venir, Aller, Naitre, Descendre, Entrer, Tomber, Arriver, Mourir, Partir. The one that's most important to remember is 'Aller', because you'll be using that one a lot. So, if you were to say 'I went', you'd say 'Je suis allé'. The third ESSENTIAL rule about etre verbs, is that the past participle must always agree with the subject. This is not the case with avoir verbs. So, if you were a girl you'd stick an extra 'e' on the end of 'allé', making it 'allée'. Equally, if you are talking about more than one person, you'd need to put an 's' on the end. So, if a group of girls were to say 'we went', it would look like this: 'nous sommes allées'.

Answered by Maddy W.

Studies Modern Languages & Cultures at Durham

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