Exercises 103–105 will help you prepare for the material cover...

Question

Exercises 103–105 will help you prepare for the material covered in the next section. Let (x1, y₁) = (7, 2) and (x2, y2) = (1, −1). Find √[(x2 − x1)² + (y2 − y₁)²]. Express the - answer in simplified radical form.

Accepted Answer

Hey everyone here we are asked to find the distance between the two points. Using the formula which takes 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. And it is also given to us that X sub one and y sub one is equal to the 10.61. And it is given that X sub two and Y sub two is equivalent to the 20.4 negative five. And we can use this information to plug in these given points directly into this distance formula. So we have distance D is equal to the square root of the quantity of except two which is four minus X. Of one which is six squared plus the quantity of Y sub two which is negative five minus Y sub one which is one squared. And from here we can just start simplifying. So we have these square root of four minus six is negative two which is squared plus negative five minus one is negative six which is also squared. Now we can square both terms, so negative two squared is just four and negative six squared gives us 36. And from here adding the two terms, we have the square root of 40 and we can simplify this further by rewriting 40 as four times 10. And this allows us to take the square root of four which is just too. So are simplified, answer becomes two times the square root of 10 which is our answer here for choice. C Thanks for watching. I hope you found this video helpful, and I'll see you again next time.

Exercises 103–105 will help you prepare for the material covered in the next section. Let (x1, y₁) = (7, 2) and (x2, y2) = (1, −1). Find √[(x2 − x1)² + (y2 − y₁)²]. Express the - answer in simplified radical form.

Key Concepts

Distance Formula

Simplified Radical Form

Coordinate System

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