The coordinates of the vertices of LMN acquired a -ve sign to form the image L'M'N'. The line passes through the origin.
Step-by-step explanation:
When a point is rotated through 180° about the origin clockwise/anticlockwise, the coordinates of the object point T (h,k) takes a new position (-h,-k) to form the image T'. A line joining an object point to its image point will pass through the origin that is the center of rotation.
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Rotation about the origin through 180°: brainly.com/question/7747099
Keywords : Rotate, origin,graph, triangle
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Minus 16x both sides and add 28 to both sides
x^2-16x+28=0
factor
hmm, what 2 numbers multiply to 28 and add to -16
hmm
1 and 28? nope
2 and 14? yep
since middle term is negative and last tem is positive, both of the factors are negative
(x-14)(x-2)=0
set each to zero
x-14=0
x=14
x-2=0
x=2
x=2 and 14
