Point A is at $(4 ,1 )$ and point B is at $(-6 ,-7 )$ . Point A is rotated $(3pi)/2$ clockwise about the origin. What are the new coordinates of point A and by how much has the distance between points A and B changed?

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Point A is at $(4 ,1 )$ and point B is at $(-6 ,-7 )$ . Point A is rotated $(3pi)/2$ clockwise about the origin. What are the new coordinates of point A and by how much has the distance between points A and B changed?

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Answer 1 · 2016-02-16T09:56:31

The new point A is at $(-1, 4)$
The changed in distance between points A and B
$=2sqrt41-sqrt(146)=0.723203$

Explanation:

Rotating point A (4, 1) about the origin by $(3pi)/2$ clockwise will place it exactly at (-1, 4) at the 2nd quadrant. The new distance between A and B is $=sqrt146$ . The distance between point B(-6, -7) and the original location of point A(4, 1) is $=sqrt(164)=2sqrt(41)$

difference in distance $=sqrt(164)-sqrt(146)=0.723203$

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Point A is at $(4 ,1 )$ and point B is at $(-6 ,-7 )$ . Point A is rotated $(3pi)/2$ clockwise about the origin. What are the new coordinates of point A and by how much has the distance between points A and B changed?

1 Answer

Explanation:

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Science

Math

Humanities

... and beyond

Point A is at (4 ,1 )(4 ,1 ) and point B is at (-6 ,-7 )(-6 ,-7 ). Point A is rotated (3pi)/2 (3pi)/2 clockwise about the origin. What are the new coordinates of point A and by how much has the distance between points A and B changed?

1 Answer

Explanation:

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Impact of this question

Point A is at $(4 ,1 )$ and point B is at $(-6 ,-7 )$ . Point A is rotated $(3pi)/2$ clockwise about the origin. What are the new coordinates of point A and by how much has the distance between points A and B changed?