SOLUTION: what is the length of the segment that joins two points whose coordinates are (4,-1) and (7,5)? 1) 5 2) 29 3) 13 4) 45

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Question 390005: what is the length of the segment that joins two points whose coordinates are (4,-1) and (7,5)?
1) 5
2) 29
3) 13
4) 45
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Note: is the first point . So this means that x%5B1%5D=4 and y%5B1%5D=-1.
Also, is the second point . So this means that x%5B2%5D=7 and y%5B2%5D=5.


d=sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2%2B%28y%5B1%5D-y%5B2%5D%29%5E2%29 Start with the distance formula.


d=sqrt%28%284-7%29%5E2%2B%28-1-5%29%5E2%29 Plug in x%5B1%5D=4, x%5B2%5D=7, y%5B1%5D=-1, and y%5B2%5D=5.


d=sqrt%28%28-3%29%5E2%2B%28-1-5%29%5E2%29 Subtract 7 from 4 to get -3.


d=sqrt%28%28-3%29%5E2%2B%28-6%29%5E2%29 Subtract 5 from -1 to get -6.


d=sqrt%289%2B%28-6%29%5E2%29 Square -3 to get 9.


d=sqrt%289%2B36%29 Square -6 to get 36.


d=sqrt%2845%29 Add 9 to 36 to get 45.


Now if each of your answer choices are in square roots, then this would mean that the answer is choice 4) sqrt%2845%29


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim