Question

Someone help me please

Answer 1

Answer:

$(5,1)$

Step-by-step explanation:

Hi there!

Midpoint = $\displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )$ 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)

$(5,3)=\displaystyle (\frac{5+x_2}{2},\frac{5+y_2}{2} )$ where  $(x_2,y_2)$ is the other endpoint

Solve for $x_2$:

$\displaystyle \frac{5+x_2}{2} =5\\\\5+x_2 =10\\x_2 =5$

Solve for $y_2$:

$\displaystyle\frac{5+y_2}{2}=3 \\\\{5+y_2}=6\\y_2=1$

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

I hope this helps!

Answer 2

Answer:

S(5,1)

Step-by-step explanation:

Midpoint -M(5,3)

$( \frac{x1 + x2}{2} \frac{y1 + y2}{2} ) \\ m(5 \: 3) \\ 5 = \frac{x1 + x2}{2} \\ 5 = \frac{5 + x2}{2 } \\ 5 \times 2 = 5 + x2 \\ 10 = 5 + x2 \\ 10 - 5 = x2 \\ x2 = 5 \\ 3 = \frac{y1 + y2}{2} \\ 3 = \frac{5 + y2}{2} \\ 3 \times 2 = 5 + y2 \\ 6 = 5 + y2 \\ 6 - 5 = y2 \\ y2 = 1 \\ meaning \: that \: the \: coordinates \: of \: the \: second \: end \: point \: are \: (5 \: 1)$

hope this helps.