Question

HELPP!!what is the answer to this picture above^

Answer 1

`\fbox{ \fbox { \sf{Distance = \sf{15 \: units}}}}`

`{ \fbox { \fbox { \sf{Midpoint = { \sf{ \: (12 \: , \: 10.5)}}}}}}`

Explanation:

`\star{ \: \sf { \: Let \: the \: points \: be \: A \: and \: B}}`

`\star { \sf{Let \: A(6 \:, 6) \: be \: (x1 ,\: y1) \: and \: B(18 ,\: 15) \: be \: (x2 \:, y2)}}`

`\underline{ \underline{ \tt{Finding \: the \: distance}}}`

`\boxed{ \sf{Distance = \sqrt{ {(x2 - x1)}^(2) + {(y2 - y1)}^(2) } }}`

`\mapsto{ \sf{Distance = \sqrt{ {(18 - 6)}^(2) + {(15 - 6)}^(2) } }}`

`\mapsto{ \sf{Distance = \sqrt{ {(12)}^(2) + {(9)}^(2) } }}`

`\mapsto{ \sf{Distance = √(144 + 81)}}`

`\mapsto{ \sf{Distance = √(225) }}`

`\mapsto{ \sf{Distance = \sqrt{ {15}^(2) } }}`

`\mapsto{ \boxed{\sf{Distance = 15 \: units}}}`

`\underline{ \underline {\tt{Finding \: the \: Midpoint}}}`

`\boxed{ \sf{Midpoint = ( (x1 + x2)/(2) \: , \: (y1 + y2)/(2) )}}`

`\mapsto{ \sf{Midpoint = ( (6 + 18)/(2) \: , \: (6 + 15)/(2) )}}`

`\mapsto{ \sf{Midpoint = ( (24)/(2) \: , \: (21)/(2) )}}`

`\mapsto{ \boxed{ \sf{Midpoint = (12 \: , \: 10.5)}}}`

Hope I helped!

Best regards! :D

~
`\sf{TheAnimeGirl}`