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A circle has equation x^2+y^2+6x+10y-7=0. Find the equation of the tangent line through the point on the circle (-8,-1).

The circle can be written (x+3) 2 +(y+5)^2 = 41 and so has center (-3,-5). The gradient through the center and the point (-8,-1) is;m = (-5+1)/(-3+8) = -4/5. The tangent line is perpendicular to this so has ...
RL
Answered by Rhianna L. • Maths tutor
1455 Views

y=x^3-3x^2+2x+5 a)Write down the coordinates of P the point where the curve crosses the x-axis. b)Determine the equation of the tangent to the curve at P. c)Find the coordinates of Q, the point where this tangent meets the curve again.

a) P (0,5)b) y = 2x + 5c) Q (3,11)
HA
Answered by Harrison A. • Maths tutor
5244 Views

Imagine you just came back from a ski vacation in the French Alps. Write a short paragraph (100-150 words) in French explain how your vacation was.

Cet hiver, ma famille et moi même, sommes allés skier dans les Alpes. Nous sommes allés pendant une semaine durant la période de Noël. Quand nous sommes arrivés à la station, mon frère et moi avons tout de s...
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Answered by Naomi E. • French tutor
3940 Views

dy/dx = 6x^2 - 3x + 4 when y=14 x=2 Find y in terms of x

∫dy/dx = ∫6x^2 - 3x + 4y = (6/3)x^3 - ( 3/2)x^2 + 4x + cLet y = 14 and x = 214 = 2(2^3) - (3/2)(x^2) + 4(2) + c14 = 2(8) - (3/2)(4) + 4(2) + c14 = 16 - 6 + 8 + c14 = 18 + cc = -4therefore:y = 2x^3 - (3/2)x^2...
LA
Answered by Lauren A. • Maths tutor
2581 Views

When would you use the passé composé, and when the imparfait?

One important thing to bear in mind is the time frame of your action. If are writing, for example, "last year, I went to France", there is no doubt it would be 'l'année dernière, je suis allé(e) en...
LC
Answered by Liam C. • French tutor
1630 Views