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Find the coordinates of the centre of the circle with equation: x^2 + y^2 − 2*x + 14*y = 0

method: complete the squares for (x^2 - 2x ) and ( y^2 + 14y ) using the formula (b/2)^2 (where the general equation is ax^2 + bx) so that the equation becomes ax^2 + bx ...

Answered by Catherine A. Maths tutor
3498 Views

What is the value of x if (15*sqrt(x)) / sqrt(5) = 6*sqrt(5)

Note: sqrt means square root, and * means multiply method (overall aim is to make x the subject): multiply both sides by sqrt(5) to get: 15 * sqrt(x) = 6 * 5further expand the right hand sid...

Answered by Catherine A. Maths tutor
2914 Views

Prove algebraically that the sum of the squares of two consecutive multiples of 5 is not a multiple of 10.

First let’s break this statement down. At the core of this sentence are two consecutive multiples of 5. How can we represent these using algebra? Let’s use 5a where “a” is an integer. A consecutive multip...

Answered by Daniel S. Maths tutor
4300 Views

Solve 5x^2 - 4x - 3 =0. Give answers to 3 significant figures

1.27 and -0.472

Answered by Marcus J. Maths tutor
4021 Views

The 4th and 5th multiples of a number are 24 and 30. What is the number?

6

Answered by Marcus J. Maths tutor
1832 Views

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