In Exercises 1–18, find the distance between each pair of points....

Question

In Exercises 1–18, find the distance between each pair of points. If necessary, express answers in simplified radical form and then round to two decimal places. (7/3, 1/5) and (1/3, 6/5)

Accepted Answer

Hey everyone here we are asked to find the distance between the set of points. 7/5 and 2/7 and the point 2/5 and 9/7. Now the first step here is to recall our distance formula which tells us that distance D is equal to the square root of the quantity of X sub two minus X sub one squared plus the quantity of Y sub two minus Y sub one squared. Now from here we just have to determine that our first given point will be the X sub one and Y sub one point and the second given point will be the X sub two and Y sub two points. So from here we can start plugging in our given information to the distance formula. So we have distance D is equal to the square root of the quantity of X sub two which is 2/ minus X sub one which is 7/5 squared plus the quantity of y sub two which is 9/ minus Y sub one which is two sevens all squared. And now from here we can just start simplifying. So we have the square root of 2/5 minus 7/ gives us negative 5/5 which is squared plus 9/7 minus 2/7 gives us 7/7 which is also squared and from here we cannot that this negative 5/5 is equal to negative one and 7/7 is simply equal to one. So we can simplify this further and we have the square root of negative one squared which is one plus one squared which is also just one which gives us the simplified answer of the square root of two, which is our answer here for choice. A thanks for watching. I hope you found this video helpful, and I'll see you again next time.

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In Exercises 1–18, find the distance between each pair of points. If necessary, express answers in simplified radical form and then round to two decimal places. (7/3, 1/5) and (1/3, 6/5)