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Factorise the quadratic by finding two numbers that add to make -7 and multiply to make 10. (i.e. -2 and -5). So x^2  -  7x +  10 = (x - 2)(x - 5) </= 0. Sketch the quadratic to see where it is negativ...

Suppose we have two vectors U(a1,b1) and V(a2,b2). Hence, the distance between U and V will be given by the formula: d=sqrt((a1-b1)² + (a2-b2)²)

Step 1 : First we multiply both sides by 4, this is to eliminate /4 on the lhs(left hand side), and then we multiply the rhs(right hand side) by 4, this gives us (11-w) = 4(1+w) which is then equeal to 11...

This is a case of substitution. 2(3)+(7) =13

Before using a more complex formula it is better to know how to answer the question using a simpler method.

From the diagram we can see that this is a sector from a circle. We need to find out the ...