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What is the best way to approach an extract question?

There are many different ways of approaching extract questions and some will work better for some more than others. However, there are steps that you can follow which will help to ensure that all the AO`s ar...
BM
13548 Views

Find the radius and centre of the circle given x^2+4x+y^2+2y=20

Complete the square:x 2 +4x gives (x+2) 2 -4y 2 +2y gives (y+1) 2 -1Therefore,(x+2) 2 -4+(y+1) 2 -1=20Rearranging gives:(x+2) 2 +(y+1) 2 =25Comparing to the standard equation for a circle:(x-a) 2 +(y-b) 2 =r...
SC
Answered by Stanley C. Maths tutor
4866 Views

Solve the inequality x^2 – x < 6

The question is asking for the range of x values that satisfies the inequality. First rearrange the equation to form a quadratic: x 2 – x – 6 &lt; 0. Factorise the quadratic to find x-intercepts: ( x – 3 )( ...
LL
Answered by Lea L. Maths tutor
9452 Views

What is meant by a uniform electric field?

Region which a force acts on a charged particle and the force is same at all points.
DH
Answered by Dave H. Physics tutor
1998 Views

Factorise x^2+3x-4=0

We will set the answer layout first by forming 2 brackets. (x+a)(x+b)=0We then look at the signs used, particularly negative signs. In this question, there is a minus sign before the 4.This means that one of...
DI
Answered by Danel I. Maths tutor
4078 Views