Mathematics, 19.05.2020 22:13 kaveon2019
Chareese reflects figure RSUT over the y-axis and then rotates the reflected figure 180 about the origin, resulting in figure A. She states that . Which best describes the accuracy of her congruency statement?
(Pic below)
Accurate. A reflection will change the direction the vertices trace around the figure. A rotation preserves the change.
Accurate. A reflection preserves the direction the vertices trace around the figure. A rotation changes that direction.
Inaccurate. The correct congruency statement is .
Inaccurate. The correct congruency statement is .
Answers: 3
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Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .
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Chareese reflects figure RSUT over the y-axis and then rotates the reflected figure 180 about the or...
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