Graph a triangle (STU) and reflect it over the y-axis to create triangle S’T’U’. describe the transformation using words. draw a line segment from point S to the reflecting line, and then draw a line segment from point S’ to the reflecting line. what do you notice about the two line segments your drew? do you think you would see some characteristics if you drew the line segment connecting T with the reflecting line and then T’ with the reflecting line? how do you know?

Read the excerpt from the strange case of dr jekyll and mr. hyde what do dr. jekyll's thoughts reveal about him in this excerpt? [t]he inmates of my house were locked in the most rigorous hours of slumber, and i determined, flushed as i was with hope and triumph, to venture in my new shape as far as to my bedroom. i crossed the yard, wherein the constellations looked down upon me, i could have thought, with wonder, the first creature of that sort that their unsleeping vigilance had yet disclosed to he is jealous of those who can sleep through the night. he is revered for his scientific advances. he is interested in studying the movements of the stars he is proud and enthusiastic about his initial results.

Prove that 16^4-2^13-4^5 is divisible by 11.

Use the ratio test to determine whether ∑n=14∞n+2n! converges or diverges. (a) find the ratio of successive terms. write your answer as a fully simplified fraction. for n≥14, limn→∞∣∣∣an+1an∣∣∣=limn→∞.