What is the distance between point (2, -2) and (5,3)
A.
3.2 units
B.
4.3 units
C.
5.8 units
D.
7.1 units
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OpenStudy (dtan5457):
Plug it into the distance formula.
jimthompson5910 (jim_thompson5910):
@vicyoria15, do you know how to use the distance formula dtan5457 posted?
OpenStudy (anonymous):
no not really @jim_thompson5910
jimthompson5910 (jim_thompson5910):
what you do is basically subtract the corresponding coordinates and square that difference
so for the x, we subtract: 2-5 = -3
then square -3 to get +9
for the y coordinates, what do you get when you subtract and square the result?
OpenStudy (anonymous):
-2-3 is -5 and the you square it and get...25?
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jimthompson5910 (jim_thompson5910):
very good
jimthompson5910 (jim_thompson5910):
now you add those squares: 9+25 = 34
the last step is to take the square root of that to get \(\Large \sqrt{34}\)
OpenStudy (anonymous):
which is 5.8?
jimthompson5910 (jim_thompson5910):
that's the exact distance
to find the approximate distance, you would use a calculator to evaluate \(\Large \sqrt{34}\)
jimthompson5910 (jim_thompson5910):
correct, roughly 5.8
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OpenStudy (anonymous):
Thank you SOOO much
jimthompson5910 (jim_thompson5910):
so all that was using the distance formula
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