A segment with endpoints (3,7) and (–8,7) is rotated around the origin. How long will the new segment be?

The relative distance or length remains unchanged.

Explanation:

Rotating an image does not change its dimensions, only its position within a coordinate system.

We can show this by rotating the line segment counter-clockwise about the origin through an angle  π/2

A rotation of  π /2  counter-clockwise maps:

( x  ,  y )  →  ( y , - x )

Using given points:

(3,7) → ( 7, -3 )

(–8,7) → (7,8)

Using the distance formula, with coordinates (3,7) and (–8,7)

Using the distance formula, with coordinates (7,-3) and (7,8)

Therefore, the relative distance or length remains unchanged.

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step-by-step explanation:

600,000,000,000, or 6e14

step-by-step explanation: