Point is reflected across the line . What are the coordinates of ? Show your work and explain.
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Point e(−5, 3) and point d(−4, −3) are located on the grid. which measurement is closest to the distance between point e and point d in units? a) 6.1 units b) 6.3 units c) 6.5 units d) 6.7 units

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

Parabolas y=−2x^2 and y=2x^2 +k intersect at points a and b that are in the third and the fourth quadrants respectively. find k if length of the segment ab is 5.