Question

Someone help me please

Answer 1

S(5,1)

Explanation:

Midpoint -M(5,3)

`( (x1 + x2)/(2) (y1 + y2)/(2) ) \\ m(5 \: 3) \\ 5 = (x1 + x2)/(2) \\ 5 = (5 + x2)/(2 ) \\ 5 * 2 = 5 + x2 \\ 10 = 5 + x2 \\ 10 - 5 = x2 \\ x2 = 5 \\ 3 = (y1 + y2)/(2) \\ 3 = (5 + y2)/(2) \\ 3 * 2 = 5 + y2 \\ 6 = 5 + y2 \\ 6 - 5 = y2 \\ y2 = 1 \\ meaning \: that \: the \: coordinates \: of \: the \: second \: end \: point \: are \: (5 \: 1)`

hope this helps.

Answer 2

`(5,1)`

Explanation:

Hi there!

Midpoint =
`\displaystyle ((x_1+x_2)/(2),(y_1+y_2)/(2) )` where the two endpoints are
`(x_1,y_1)` and
`(x_2,y_2)`

Plug in the given information:

Midpoint = (5,3), Endpoint = (5,5)

`(5,3)=\displaystyle ((5+x_2)/(2),(5+y_2)/(2) )` where
`(x_2,y_2)` is the other endpoint

Solve for
`x_2`:

`\displaystyle (5+x_2)/(2) =5\\\\5+x_2 =10\\x_2 =5`

Solve for
`y_2`:

`\displaystyle(5+y_2)/(2)=3 \\\\{5+y_2}=6\\y_2=1`

Therefore, the other endpoint
`(x_2,y_2)` is
`(5,1)`.

I hope this helps!