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Zigmanuir [339]
3 years ago
7

Find the distance between the two points in simplest radical form. (-1,9) and (4, -3)

Mathematics
1 answer:
jolli1 [7]3 years ago
8 0

Answer:

GIVEN BY POINTS :-

( -1, 9) , ( 4 , -3)

Here ,

\bullet  \: \:  x _{1} = - 1 \\ \bullet \: \:  x _{2} = 4 \\ \bullet \: \:   y _{1} = 9 \\ \bullet \: \:    y _{2} =  - 3 \\

Using Distance formula :

=  >  \sf d = \sqrt{( {x _{2} - x _{1}) }^{2} + {( {y _{2} - y _{1}) }^{2} } } \\ \\  =  > \sf  d = \sqrt{ ({ 4  + 1)}^{2} + { ( - 3 - 9)}^{2} } \\  \\ =  >  \sf d = \sqrt{ {5}^{2} + {( - 12)}^{2} }  \\ \\  =  > \sf d = \sqrt{25 + 144}  \\ \\  =  > \sf d = \sqrt{169}  \\ \\ =  > \boxed{ \sf{  d = 13\:units }}\\

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<u>Explanation:</u>

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