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Do the circles with equations x^2 -2x + y^2 - 2y=7 and x^2 -10x + y^2 -8y=-37 touch and if so, in what way (tangent to each other? two point of intersection?)

We must first complete the square for both equations and get the equations in the (x-a)2+(y-b)2=r2 with the primary objective of determining the centres of both circles (a...

Answered by Shanti S. Maths tutor
2774 Views

Factorise x^2 - 6x + 9 = 0

x2 - 6x + 9The method for factorising quadratics is to find 2 numbers that add to make the 'x' term (-6x in this case), and multiply together to make the final term (+9 in this case). Factors o...

Answered by Kate B. Maths tutor
6022 Views

What is 64^1/2 equal to?

A number to the power of 1/2 is the same as square rooting (√) the number, therefore 641/2 is equal to √64.Remember that it can be the positive or the...

Answered by Kate B. Maths tutor
18791 Views

Differentiate f(x)= 3y^2 + ln (x) + sin x

We have derivative rules. Some of them involve:If f(x)= (x)a=> f'(x)= a*xa-1If f(x)= ln x=> f'(x)= 1/xIf f(x)= sin x=> f'(x)=cos xTherefore, f(x)= 6y+1/x+cos x

Answered by Daria C. Maths tutor
1167 Views

How would you solve the simultaneous equations y=x+1 and y=4x-2

You could solve this equation by using substitution, since both equations are in a' y = ' form. You can substitute the first equation into the first, as they both equal y, they both equal each other : x+1...

Answered by Priya K. Maths tutor
3427 Views

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