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What is the length of AB? round your answer to the nearest hundred.

What is the length of AB? round your answer to the nearest hundred.-example-1
User Ireneusz Skrobis
by
2.4k points

1 Answer

22 votes
22 votes

In order to calculate the length of the line AB, you use the following formula for the distance between points in the coordinate plane:

d = √((x2-x1)²-(y2-y1)²)

That is, it is only necessary to have a pair of points with coordinates (x1,y1) and (x2,y2). In this case you have two points A=(-5,-4)=(x1,y1) and B=(-3,3)=(x2,y2), then, by replacing these values into the formula for the distance you have:

d = √((3-(-3))²-(-5-4)²)

d = √((3+3)²+(-9)²)

d = √(36+81) = √(117) = 10.8166 10.82

Hence, the length of the line AB is 10.82

User Ccallendar
by
3.1k points
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