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2015-05-13T19:17:24+08:00

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For us to determine the distance between two points on the Cartesian plane we need to use the Pythagorean Theorem which is:
a^2+b^2=c^2

We let the coordinates as follows:
For point A: (x_a,y_a)=(-3,0)
For point B: (x_b,y_b)=(7,1)

The Pythagorean Theorem would be:
(x_a-y_a)^2+(x_b-y_b)^2=c^2

We substitute the values:
c^2=(-3-7)^2+(0-1)^2
=(-10)^2+(-1)^2
=100+1
=101

The value of c is the square root of 101 which is either  \sqrt{101} or - \sqrt{101} but since the distance between two points can never be negative then the distance between A and B is  \sqrt{101}
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