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Find the exact length of the tangent from (4,-5) to the circle x^2 + 4x + y^2 - 2y - 11 = 0 Thanks :)

Hey guys so I'm a bit confused on something. So here's two separate questions: $Solve for 0^{\circ} \leq x \leq 360^{\circ} $ \\ 4sin\theta - cos\theta =-3\\ and\\ sin\theta -cos\theta =1\\ So i've tried using the transformation method, and I've expressed the first question in the form...

Hey guys, I'm confused for both questions a) and b) Thanks in advance :)

Hey guys, Q: Find the coordinates of the centre of the circle that passes through points (7,2), (2,3) and (-4,-1). Thank you :)

Hey guys, Could you explain how to work this out? $Solve for -180^{\circ} \leq \Theta \leq 180^{\circ} tan(2{\Theta}) = 1$ Thank you :)

Hey guys, So I have a physics assignment and part of it is me required to perform my own experiment. Basically, what I planned to do was drop an egg from different heights and see how as height increased the force would also increase. My way of measuring the force was to observe how the...

Hey guys, I only need help with (c), can't seem to get it... Anyway thanks in advance.

Hello! Q: A ball is dropped from a height of 12m. On the first rebound, it rises to a height of 10m. At subsequent rebounds it rises to a height equal to 5/6 of that which it previously attained. Calculate the total distance through which the ball moves before coming to rest. Thank you :)

Hey guys, Two questions, Q: Find the sum of: 1 - 2 + 3 - 4 + 5 -6 + ... - 100 Q: What is the least number of terms required if the sum of 15 + 20 + 25 +... is to exceed 2625? Thanks in advance!

Hey guys, Given that a and b are real, and that (2+i) is a root of the equation z^2 + (a+9i)z + b(2+11i) = 0 Determine the values of a and b. Thanks :)

Hey guys, could you suggest any interesting topics I could talk about for a speech? The topic has to satisfy at least one of: P1: outlines the historical development of major principles, concepts and ideas in physics P3: Assesses the impact of particular technological advances on...

Hey, could someone find the range of the function: Text book answer says it's all real y, I'm not too sure if that's right or not, given the graph.

Find a and b if a,b,1 forms a GP, and b,a,10 forms an AP. Answer is... GP: a= 25/4 b= 5/2 AP: a=4 b=-2 Also a) Show that if the first, second and fourth terms of an AP form a geometric sequence, then either the sequence is a constant sequence, or the terms are the positive integer multiples...

Hey guys, I just received my first economics assignment, and I'm in need of a good asian economy (besides Japan) to study. Any suggestions? The Question is: Discuss the economic characteristics of the selected Asian economy and compare and contrast it to the Australian economy The following...

Show that the roots of the equation 4(m+1)x^2 -4(m-1)x -3 = 0, (m =/= -1) are real for all real m. Thanks in advance.

A piece of wire 7 metres long is cut into two parts, one is used to form a square, and the other to form a rectangle whose length is three times its width. Find the lengths of the two parts if the sum of the areas is a minimum. Thanks for helping in advanced :]

For what values of m is the line y = mx a tangent to the circle (x-4)^2 + y^2 = 4. Thank you in advance, and much appreciated :]

Yeah, I need help with another question... f(x) = 2x-1 and g(x) = (x+1)/2 i) For what values of x is g(x) = f(x^2)? ii) Prove f[g(x)] = x I've done the first question as well as proved the second question, however for the last question, the working out seemed too simple and generally...

The function f(x) is defined by: -x+2 if x >= 1 f(x) = x^2 if -1 =<x<1 x+2 if x<-1 i) Sketch the curve y=f(x) ii) Find the value(s) of x so that: f(x)= x/2 I've already sketched the curve, I just need help with the second question. Thanks :)

Solve the equation, for a) 2cos(2x) - 1 < 0 Please and Thank you very much!