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Alexandra [31]
4 years ago
16

The midpoint of RS is point T what are the coordinates of Point S ? help

Mathematics
2 answers:
Vaselesa [24]4 years ago
8 0

Answer:

(10,-7)


Step-by-step explanation:

If two points are given as  (x_{1},y_{1}) (point 1) and  (x_{2},y_{2}) (point 2), then the midpoint of these 2 points are given by the formula:

Midpoint = (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})


<em>Using </em><em>R as point 1 </em><em>, </em><em>S as point 2</em><em>, and </em><em>T as midpoint</em><em>, we can substitute in the formula and get 2 equations shown below:</em>

<em>4=\frac{-2+x_{2}}{2}  * This is equation 1 from which we can find x_{2}</em>

<em>-2=\frac{3+y_{2}}{2}  * This is equation 2 from which we can find y_{2}</em>

Solving equation 1:

4=\frac{-2+x_{2}}{2}\\8=-2+x_{2}\\8+2=x_{2}\\x_{2}=10

Solving equation 2:

-2=\frac{3+y_{2}}{2}\\-4=3+y_{2}\\-4-3=y_{2}\\y_{2}=-7


Hence the coordinates of point S is (10,-7)



KiRa [710]4 years ago
7 0

Answer:

the answer is D

Step-by-step explanation:

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