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3 years ago

the coordinates of point t are (0,2). the midpoint of st is (1,-6) find the coordinates of point s.

Mathematics

1 answer:

sasho [114]3 years ago

4 0

Question

the coordinates of point t are (0,2). the midpoint of st is (1,-6) find the coordinates of point s.

Answer:

(10,-14)

Step-by-step explanation:

0 + x

--------- = 5 Multiply both sides by 2 ----> 0 + x = 10 or x = 10

2 + y

-------- = -8 Multiply both sides by 2 ----> 2 + y = -16 or y = -14

Therefore, the coordinates of point S should be at (10,-14)

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The centre is at the midpoint of the endpoints and the radius is the distance from the centre to either of the 2 endpoints

Using the midpoint formula

midpoint = [ $\frac{1}{2}$ (x $x_{1}$ + $x_{2}$ , $\frac{1}{2}$ ( $y_{1}$ + $y_{2}$

where ( $x_{1}$ , $y_{1}$ =(3,8) and ( $x_{2}$ , $y_{2}$ =(-7,2)

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r = √( $x_{2}$ - $x_{1}$ )²+( $y_{2}$ - $y_{1}$ )²)

= √((3+2)²+(8-5)²) = √(25+9) = √34 ⇒ r² =(√34)² = 34

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Step-by-step explanation:

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3 years ago

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3 years ago

the coordinates of point t are ​(0,2). the midpoint of st is ​(1,-6) find the coordinates of point s.

the coordinates of point t are (0,2). the midpoint of st is (1,-6) find the coordinates of point s.