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show y=3x-5 is tangent to x^2 + y^2 +2x -4y - 5 = 0 and the point where they touch

y=3x-5x^2 + (3x-5)^2 + 2x - 4(3x-5) - 5 = 0x^2 + 9x^2 -30x +25 + 2x -12x + 20 - 5 = 010x^2 -40x + 40 = 010 (x^2 - 4x +4) = 010(x - 2)^2 = 0x=2implies one point of contact, therefore tangenty = 3x - 5y = 6...

RM
Answered by Robert M. Maths tutor
2128 Views

I struggle with long worded questions

Ok let’s take this example:5 tins of soup have a total weight of 1750 grams. 4 tins of soup and 3 packets of soup have a total weight of 1490 grams. Work out the total weight of 3 tins of soup and 2 packe...

IK
Answered by Idris K. Maths tutor
2858 Views

Find dy/dx when y = 4x^1/2

dy/dx means you have to differentiate the equation provided: y = 4x1/2When we differentiate with respect to x we must multiply the power by the coefficient: 1/2 = power by 4 = coefficient which...

CB
Answered by Christopher B. Maths tutor
9165 Views

The equation of the line L1 is y = 3x – 2 The equation of the line L2 is 3y – 9x + 5 = 0 Show that these two lines are parallel

L1 ->  y = 3x – 2L2 -> 3y – 9x + 5 = 0
L2 3y = 9x − 5 L1 3y = 9x -6
Gradient is the same therefore lines are parallel.

MS
Answered by Mark S. Maths tutor
2577 Views

How do you sketch r=theta? I don't really understand polar coordinates.

First, make sure that the tutee understands using radians, and get them to do some examples of swapping between radians and degrees to ensure familiarity.Then explain to the tutee that they already intuit...

GH
Answered by Georgina H. Maths tutor
3052 Views

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