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Use the midpoint formula to find the midpoint between H(5,9) and (9,-2). OA. (4, 5.5) O B. (14, 11) O C. (7,3.5) OD. (5.5, 4.5)​

User Gunith D
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1 Answer

5 votes

Option:-


  • \boxed { \tt \color{red} c ) ( 7 , 3.5 )}

Given:-


  • \tt \: H = ( 5 , 9 )


\:


  • \tt \: J = ( 9 , -2 )


\:

To find:-


  • \tt \: midpoint \: between \: H \: nd \: J \: = ?


\:

By using formula:-


\red{ \bigstar} \blue{\boxed { \tt \color{green} midpoint = ( (x_1 + x_2)/(2) , (y_1 + y_2)/(2) )}}

Solution:-


  • \tt \: midpoint = ( (x_1 + x_2)/(2) , (y_1 + y_2)/(2) )


\:

where ,


\small{\star \underline{ \tt \: H =( x_1 = 5 , y_1 = 9)}}


\:


\small { \star { \underline{ \tt \: J =( x_2 = 9 , y_2 = -2)}}}


\:


  • \tt \: m= ( (5 + 9 )/(2) , (9 + (-2))/(2) )


\:


  • \tt \: m = ( (14)/(2) , (7)/(2))


\:


  • \tt \: m = ( \cancel (14)/(2) , \cancel(7)/(2))


\:


  • \underline{ \boxed{ \tt \purple{ \: m = ( 7 , 3.5) \: }}}


\:

The midpoint between H nd J is ( 7 , 3.5 ).


\color{pink}{━━━━━━━━━━━━━━━━━━━━━━━━━━━}

hope it helps! :)

User SidMorad
by
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