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what is the distance between (0,6) and (5,-4)

 May 2, 2014

Best Answer 

 #1
avatar+130511 
+5

Re: what is the distance between (0,6) and (5,-4)

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I could give you a long spiel about the "distance" formula, but here's a nice little trick to use when one of the points has a coordinate value of "0." Let's make, both of them "0."

Subtract 6 from the " y values" in both sets of points.

This gives us (0,0) and (5, -10)

Now, square both values in the second point and add them together...so we have

(5)2 + (-10)2 =  25 + 100 = 125

Now, take the square root of this

√(125) = √[(25)(5)] = √(25) * √(5) =  5√5... and there you go !!!

The "distance" formula would return the same thing, but here, we didn't have to remember any "formula."

 May 2, 2014
 #1
avatar+130511 
+5
Best Answer

Re: what is the distance between (0,6) and (5,-4)

----------------------------------------------------------------------------------------------------

I could give you a long spiel about the "distance" formula, but here's a nice little trick to use when one of the points has a coordinate value of "0." Let's make, both of them "0."

Subtract 6 from the " y values" in both sets of points.

This gives us (0,0) and (5, -10)

Now, square both values in the second point and add them together...so we have

(5)2 + (-10)2 =  25 + 100 = 125

Now, take the square root of this

√(125) = √[(25)(5)] = √(25) * √(5) =  5√5... and there you go !!!

The "distance" formula would return the same thing, but here, we didn't have to remember any "formula."

CPhill May 2, 2014

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