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A is the point (2,-5), B is the point (-1,4). (a) What is the gradient of the line passing through points A and B? (b) Does the point (-100,301) lie on the line passing through points A and B?

(a) let A be (x1,y1) and B be (x2,y2), Gradient = m = (y2-y1)/(x2-x1) m = (4- -5)/(-1-2) = 9/(-3) = -3 Gradient = -3
(b) equation of a straight line line: y = mx + c => y1 = ...

HM
Answered by Hallam M. Maths tutor
3484 Views

I don't quite understand when to use the perfect tense vs the imperfect, could you help me please? (making the assumption they understand the conjugation rules already)

The imperfect tense is used to express things that 'were' happening or 'used to' happen. They may have taken place over a short period of time (a few seconds), or a prolonged period of time (several years...

TC
Answered by Tommy C. French tutor
1717 Views

How is DNA replicated, and why is this method of replication important?

DNA is replicated in a semi-conservative manner, which means that both 'parental strands' are used as templates. This ensures that genetic information is passed onto offspring without any changes
(di...

SB
Answered by Salima B. Biology tutor
2919 Views

How do I integrate by substitution?

Let's take for example the integral 5x2(x3-4)4dx. This is very difficult and not at all nice to expand in terms of x, so we can effectively "create" a new variab...

EC
Answered by Edward C. Maths tutor
3586 Views

Is AB perpendicular to BC where A =(2,0,-1), B=(4,3,-6) and C = (9,3,-4)

AB = B - A = (4,3,-6)- (2,0,-1) = (2 , 3 , -5)BC = C - B = (9,3,-4) - (4,3,-6) = (5, 0 , 2)
If perpendicular "AB dot BC" should equal zeroAB dot BC = (2,3,-5) dot (5,0,2) = (2x5) + (3x0) + ...

SU
Answered by Syed Usman B. Maths tutor
3807 Views

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