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The point P, (-1,4) lies on a circle C that is centered about the origin. Find the equation of the tangent to the circle at point P.

The most important fact to remember with this question is that two perpendicular straight lines have gradients related by m 1 = -1/m 2. This can then be used to find the gradient of the tangent by first find...
JA
Answered by James A. Maths tutor
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Solve "x^2 - 12x - 45 = 0" by completing the square

The equation is of the formx 2 +bx+c=0This means it can be rearranged to(x+(b/2)) 2 =(b/2) 2 -cTaking the square root of both sides leaves us with x. x 2 -12x-45=0(x-(12/2)) 2 -(12/2) 2 -45 = 0(x-6) 2 -6 2 -...
EJ
Answered by Elsa J. Maths tutor
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How do I expand (x-2)(3x+3) into a quadratic?

The expansion of two brackets containing two terms each is a little more complicated than expanding say, x(3x+3). There is a process to follow for these questions. First, just look at the x term in the first...
WP
Answered by William P. Maths tutor
4864 Views

Work out ∛16 as a power of two. (AQA GCSE Higher paper 2017, Q24b)

When you're working with fractional indices, I find the following rhyme really useful:"Fractional indices are like a flower: the bottom's the root, the top's the power".We have a cube root here, wh...
RD
Answered by Ruth D. Maths tutor
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Two apples and three bananas cost a total of £1.30. Seven apples and one banana cost a total of £1.70. Find the cost of a) one apple and b) one banana.

First, look at the key information from the question and form an equation for each of the first two sentences. These equations are as follows (let a represent the number of apples and b represent the number ...
JS
Answered by James S. Maths tutor
17312 Views