2 years ago

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Mathematics

1 answer:

Fofino [41]2 years ago

8 0

“.....” or a sequence of periods, is typically representative as an absence of thought or emotion.

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A line segment has (x1, y1) as one endpoint and (xm, ym) as its midpoint. Find the other endpoint (x2, y2) of the line segment i

Levart [38]

Answer: (a) ( $x_{2},y_{2}$ ) = (3,2)

(b) ( $x_{2},y_{2}$ ) = (19,-7)

Step-by-step explanation: Midpoint of a segment is halfway between 2 endpoints. It is calculated using the formulas:

$x_{m}=\frac{x_{1}+x_{2}}{2}$

$y_{m}=\frac{y_{1}+y_{2}}{2}$

Isolating $x_{2}$ :

$2x_{m}=x_{1}+x_{2}$

$x_{2}=2x_{m}-x_{1}$

And $y_{2}$ :

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$y_{2}=2y_{m}-y_{1}$

(a) Replacing values and calculating $x_{2}$ :

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$y_{2}=[2*(-1)]-(-4)$

$y_{2}=2$

$(x_{2},y_{2})=(3,2)$

(b) $x_{2}=(2*5)-(-9)$

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$y_{2}=(2*6)-19$

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