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Find an equation of the circle with centre C(5, -3) that passes through the point A(-2, 1) in the form (x-a)^2 + (y-b)^2 = k

step 1 remember than the a and b terms locate the centre of the circle on the axis so we can substitute in the centre values for a and b. (x-5)^2 + (y-(-3))^2 = k. (x-5)^2 + (y+3)^2 = k. Step 2. k is a const...
TW
Answered by Tim W. Maths tutor
5633 Views

How would you solve a simultaneous equation?

Solving a pair of simultaneous equations should ALWAYS begin in labelling each equation. I would go about labelling the first equation (1) and the second (2). A quadratic simulataneous equation question is d...
DB
Answered by Declan B. Maths tutor
4396 Views

Given that y = 5x^(3) + 7x + 3, find dy/dx

(i): 15x^(2)+7 --- in order to arrive at this answer, we can divide the equation into 3 separate parts: 5x^(3) and 7x and 3. For the first part, you would multiply the first number, 5 by the power, in this c...
AP
Answered by Angela P. Maths tutor
7803 Views

Solve the equation (3x+2)/(x-1)+3=4

First we must think about the fraction on the left hand side - we have to multiply everything by x-1 in order to get rid of the fraction. This leaves us with 3x+2+3(x-1)=4(x-1). Then, we must expand the brac...
MS
Answered by Mary S. Maths tutor
4831 Views

5q^2.p^12/10(q.p^3)^2

First of all, the best thing to do is to split the question into its different components: 5 x q^2 x p^12 / 10 (q x p^3)^2 Next we want to get rid of the brackets. With indices there are several important ru...
BP
Answered by Bethan P. Maths tutor
4157 Views