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There are two lines in the x-y plane. The points A(-2,5) and B(3,2) lie on line one (L1), C(-1,-2) and D(4,1) lie on line two (L2). Find whether the two lines intersect and the coordinates of the intersection if they do.

We first want to find the equations of the lines. The general equation of a line is: (y-y₁)=m(x-x₁) where (x₁,y₁) are the coordinates of a point on the line and...

Answered by Zsofia S. • Maths tutor

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Why is an object that moves in a circular path accelerating when it has constant speed?

Think about the definition of acceleration - it is the rate of change of velocity. Your statement that the object's speed is constant is correct, can you think about why the object's velocit...

Answered by Inigo S. • Physics tutor

2519 Views

How crucial were the Falklands war to Margaret Thatcher's election victory in 1983?

It can be argued that the Falklands war was an essential factor in Thatcher's landslide election victory in 1983 that saw the Conservative Party win a 144 seat majority. By 1982, economic and social unre...

Answered by Alex M. • History tutor

12526 Views

What is the difference between actual output and and potential output?

Actual Output can be defined as the growth in the quantity of goods and services produced in a country, or in other words the percentage chance in GDP. While Potential Output is the change in the producti...

Answered by Ben C. • Economics tutor

69397 Views

What is an 'Ablative Absolute' and how can I translate it from Latin to English?

An ablative absolute is made up of a noun/ pronoun and a participle, agreeing with one another in the ablative case. We call these expressions 'absolute' because they have no grammatical link to the rest ...

Answered by Abbie R. • Latin tutor

4469 Views