What is the approximate distance from (6, 5) to (2, 1)?
6 units
5 units
4 units
3 units
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OpenStudy (anonymous):
@OrangeMaster
hartnn (hartnn):
Distance between points (x1,y1) and (x2,y2) is
\(\huge d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\)
does this help ??
OpenStudy (anonymous):
I'm still a bit lost @hartnn
hartnn (hartnn):
lets start with x1-x2 = 6-2 = ... ?
OpenStudy (anonymous):
4
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hartnn (hartnn):
yes
and 4^2 =16
now y1-y2 =5-1 =...
OpenStudy (anonymous):
y1- y2= 5-1
OpenStudy (anonymous):
=4^2
OpenStudy (anonymous):
So 16+ 16= 32
hartnn (hartnn):
yeah, and \(d= \sqrt{16+16} =...?\)
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OpenStudy (anonymous):
sqrt of 32= 5.6
hartnn (hartnn):
sqrt 32 approximately is just less than 6 :)
OpenStudy (anonymous):
So a, 6 units
hartnn (hartnn):
correct! :)
OpenStudy (anonymous):
While you are here...
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OpenStudy (anonymous):
can you help me w one more question?
hartnn (hartnn):
sure
OpenStudy (anonymous):
What is the length of line segment S T if S is at five comma negative one and T is at negative one comma twelve? Round to the nearest hundredth.
eleven point seven zero
twelve point five three
thirteen point six zero
fourteen point three two
hartnn (hartnn):
x1-x2 = 5 - (-1) = ....
y1-y2 = -1 -12 = ...
OpenStudy (anonymous):
x= 6
y=-13
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hartnn (hartnn):
good
so
\(d =\sqrt {13^2+6^2 }=...\)
OpenStudy (anonymous):
d= 14.31?
OpenStudy (anonymous):
So the answer is D?
hartnn (hartnn):
correct! :)
OpenStudy (anonymous):
Also, how do you find the leg of a right triangle if you know one leg and the hypotenuse?
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