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A curve has equation y=x^2 + (3k - 4)x + 13 and a line has equation y = 2x + k, where k is constant. Show that the x-coordinate of any point of intersection of the line and curve satisfies the equation: x^2 + 3(k - 2)x + 13 - k = 0

When we deal with points of interception, this immediately indicates that these two equations have to equal. Therefore, begin by equaling these two equations: x^2 + (3k - 4)x + 13 = 2x + k Bring all figur...

Answered by Helena W. • Maths tutor

12259 Views

What is the difference between using als and wenn?

Als is used for a sentence that is in the past, for example 'als ich jünger war...' when I was younger. Wenn is used to mean 'if or when' and often has a conditional sense, for example 'wenn ich mehr Geld...

Answered by Jennifer F. • German tutor

24249 Views

When would I use the subjunctive?

You would use the subjunctive mood when you wish to express a personal opinion or a statement that has an element of doubt. Certain phrases can trigger the subjunctive case and these can simply be learnt ...

Answered by Jennifer F. • French tutor

2459 Views

Discuss the us of colour in Angela Carter's 'The snow child'

Angela Carter uses juxtaposition in her discription of colour such as 'black, shining boots' and 'white'. The contrast of colours foreshadows the tragic and violent ending of the story while also commenti...

Answered by Annie G. • English Literature tutor

6613 Views

How do you conjugate '1st group' verbs (the ones finishing by -er) in the present tense?

In french, three different kinds of verbs can be made: the '1st group' ones finishing by -er, the '2nd group' ones by -ir and the '3rd group' finishing by any other ending (-oir for example). The '1st gro...

Answered by Marina K. • French tutor

15187 Views