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Write x^2+4x-12 in the form (x+a)^2+b where a and b are constants to be determined.

This method is known as completing the square. To find the constant a, we must halve the coefficient of x, which in this case is 4. This is to compensate for the double term when expanding the brackets. S...

PG
Answered by Priya G. Maths tutor
5123 Views

A curve (a) has equation, y = x^2 + 3x + 1. A line (b) has equation, y = 2x + 3. Show that the line and the curve intersect at 2 distinct points and find the points of intersection. Do not use a graphical method.

a) y = x2 + 3x + 1b) y = 2x + 3At points of intersection (a) = (b).2x + 3 = x 2 + 3x + 1Note this is a quadratic expression which will solve for 2 unique solutions, providing the dis...

JC
Answered by Joseph C. Maths tutor
4125 Views

Describe the electrical conductance system of the heart?

An excitation signal (an action potential) is created by the sinoatrial (SA) node.The wave of excitation spreads across the atria,causing them to contract.Upon reaching the atrioventricular (AV) node, the...

JS
Answered by Jason S. Science tutor
1606 Views

What is the structure of DNA?

The DNA exists as a double helix. It consist of two intertwined polynucleotide chains that run anti-parallel (in opposite directions) to each other, resembling a ladder twisted around itself. The DNA pol...

OW
Answered by Oliwia W. Biology tutor
1767 Views

How do I write my conclusions?

Conclusions should be a round-up of your overall argument without majorly repeating the points in your essays! You want to start them with your final statement e.g 'the economy was the biggest factor in t...

SG
Answered by Sophie G. History tutor
1531 Views

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