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A straight line passes through the point (2,1) and has a gradient of 3. Find the co-ordinates of the points where this line intersects the axes

M=3

y1=1

x1=2

y-y1=m(x=x1)

y-1=3(x-2)

y-1=3(x-2)

y-1=3x-6

y=3x-6

at the x axis, y=0. 

‘Sub in to find the x co-rdinate:

0=3x-5

...

AC
Answered by Anna C. Maths tutor
8428 Views

If the Catholic Church was so powerful, why did the Protestant Reformation take place?

The Catholic Church had traditionally been the dominant socio-political and religious force in Europe in the centuries leading up to the Protestant Reformation: popes were some of the most influential fig...

DF
Answered by Duncan F. History tutor
2492 Views

Name one behavioural therapy that can be used to treat phobias? Critically evaluate.

One type of behavioural therapy includes Systematic Desensitization, based off the theory of classical conditioning. Here, the client and therapist draw up a hierarchy of fear, starting with stimuli that ...

MC
Answered by Megan C. Psychology tutor
2521 Views

Prove by induction that (n^3)-n is divisible by 3 for all integers n>0 (typical fp1 problem)

Let P(n) be the statement “(n^3)-n is divisible by 3”

First we’ll examine the base case: P(1)

(n^3)-n=1^3-1=1-1=0

0=3*0, so is divisible by 3, and so P(1) is true

Now assume fo...

TN
7344 Views

A football is kicked at 30 m/s at an angle of 20° to the horizontal. It travels towards the goal which is 25 m away. The crossbar of the goal is 2.44 m tall. (A) Does the ball go into the goal, hit the crossbar exactly, or go over the top?

With questions about projectiles, such as a ball travelling in the shape of a parabola through the air as in the above question, it is always good to split the problem into the horizontal and vertical com...

ES
Answered by Ehsaan S. Maths tutor
14286 Views

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