Question

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)​

Answer 1

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 ).

hope it helps! :)