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PIT_PIT [208]
3 years ago
5

Someone help me please

Mathematics
2 answers:
Masteriza [31]3 years ago
4 0

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!

vichka [17]3 years ago
4 0

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.

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