Catarina's boat has come untied and floated away on the lake. She is standing at the top of a cliff that is 35 feet above the water in the lake. If she stands 10 feet from the edge of the cliff, she can visually align the top of the cliff with the water at the back of the boat. Her eye level is 5.5 feet above the ground. Approximately how far out from the cliff is Catarina's boat? Round to the nearest tenth.

The pyramid below was dissected by a horizontal plane which shape describes the pyramid horizontal cross section

Solve each quadratic equation by factoring and using the zero product property. x^2 + 18x = 9x

Is there a direction u in which the rate of change of f(x,y)equals=x squared minus 3 xy plus 4 y squaredx2−3xy+4y2 at p(1,2) equals 14? give reasons for your answer. choose the correct answer below. a. no. the given rate of change is smaller than the minimum rate of change. b. no. the given rate of change is larger than the maximum rate of change. c. yes. the given rate of change is larger than the minimum rate of change and smaller than the maximum rate of change.