1)the height of the tunnel at the center is 35 ft, and the vertical clearance must be 21 ft at a point 8 ft from the center. find an equation for the ellipse.(show work ) 2)graph the ellipse with equation x squared divided by 16 plus y squared divided by 4 = 1. 3)determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = -3 + 3 sin θ 4)find the vertices and foci of the hyperbola with equation quantity x plus 5 squared divided by 81 minus the quantity of y minus 3 squared divided by 144 = 1.

Using the quadratic formula find the zeros of the given polynomial -5x^2+3x-11

What is the prime factorization of 23 ?me with this question

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.