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Find the distance between the pair of points (-5,4) and (-2,3)

Sagot :

Answer:

Step-by-step explanation:

There is a formula that would take a long time to prove, but here is another way. We could make one of the points the origin, and then find the distance by using the pythagorean theorem. the distance between (-5,4) and (-2,3) is the same as the distance between (0,0) and (3,-1) because in both, we subtract the x and y value by the same amount

Using the pythagorean theorem, the distance between (0,0) and (3,-1) is the square root of 3^2+(-1)^2

=the square root of 10

The answer is [tex]\sqrt{10}[/tex]