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A circle, C, has an equation: x^2 + y^2 - 4x + 10y = 7 . Find the centre of the circle and its radius?

The equation given needs to be transformed into a more familiar equation of a circle which we know the properties of and are therefore able to find its centre. Do you know what type of equation im speakin...

Answered by Alex A. Maths tutor
7115 Views

Cliff has a bag of tennis balls. 8 are green, 7 are yellow and 5 are white. He picks a tennis ball at random. What is the probability that he picks one that is not green?

To solve this question, we need to know how many balls there are altogether in Cliff's bag. In total, there are 20 balls (8+7+5). We know that 8 of the balls are greens, so by subtraction (20...

Answered by Kabilan S. Maths tutor
4283 Views

The diameter of a ring is 19mm. Calculate the area of the ring in cm^2, giving the area to 3 significant figures.

First you must convert the diameter into cm from mm:19/10 = 1.9cmThen you must find the radius of the ring:radius = diameter/2 = 1.9/2 = 0.95 cmThen you can calculate the area:area = 2πr2 = 2 x...

Answered by Mary P. Maths tutor
2827 Views

Find the integral of the following equation: y = cos^2(x)

First convert y into a suitably form.cos(2x) = 1 - 2cos2(x)cos2x = (1-cos(2x))/2
integral of y = integral of (1-cos(2x))/2 = (1/2)*(x-(1/2)sin(2x)) + C = x/2 - sin(2x)...

Answered by Marc H. Maths tutor
3487 Views

What is a geometric sequence?

A sequence is defined as a function with domain the set of the natural numbers, and codomain the set of the real numbers. A geometric sequence (a_n) is a sequence of the form: a_n = a_(n-1)*r, where r is ...

Answered by Georgios K. Maths tutor
1129 Views

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