Fill in the other coordinate for the line 2x−5y=11 (4, )

Mathematics

1 answer:

Gnesinka [82]3 years ago

8 0

Basically you have to solve for the value of Y when x= 4

So you have -5y= 11 - 2x

y = -11/5 + 2/5x

therefore when x = 4 , y = -3/5

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Rectangle LMNO is rotated 90° clockwise around the origin to create rectangle L'M'N'O'. Which statement would best describe the

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Answer:

They are equidistant from origin.

Step-by-step explanation:

Rectangle LMNO is rotated 90° clockwise around the origin to create rectangle L'M'N'O'. Which statement would best describe the relationship between points N and N'?

They are equidistant from origin.

They are midpoints of segment ON and segment O prime N prime.

They are equidistant from point O.

They are midpoints of segment LN and segment L prime N prime.

Answer: If a point with location N(x, y) is rotated 90° clockwise around the origin, the new coordinate N' is at (y, -x). The distance of the two points from the origin O(0, 0) can be calculated using:

$ON=\sqrt{(y-0)^2+(x-0)^2}=\sqrt{y^2+x^2}\\ \\ON'=\sqrt{(y-0)^2+(-x-0)^2}=\sqrt{y^2+x^2}$