A telephone line hangs between two poles 14 m apart in the shape of the catenary y = 25 cosh(x/25) − 20, where x and y are measured in meters. (a) Find the slope of this curve where it meets the right pole. (Round your answer to four decimal places.) .2837 (b) Find the angle θ between the line and the pole. (Round your answer to two decimal places.)

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

The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends more than a certain amount per visit at this supermarket. the expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally distributed with a mean of $95 and a standard deviation of $20. if the management wants to give free gifts to at most 10% of the customers, what should the amount be above which a customer would receive a free gift?

If two points are given,then exactly one line can be drawn through those two points.which geometry term does the statement represent