A triathlete on the swimming leg of a triathlon is 150.0 m from the shore (a). The triathlete's bike is 100.0 m from the shore on the land (b). The component of her distance from the bicycle along the shore line, ( x + y in the diagram), is 272.9 m. Triathlete Water a shoreline y Land If the triathlete's running speed is 7.90 m/s and swimming speed is 1.422 m/s, calculate the value of x so that the triathlete reaches her bike in the least amount of time. 231.37m Snell's Law is helpful here. Submit Answer Incorrect. Tries 1/12 Previous Tries Calculate the minimum time required to reach the bicycle. 111.05s Submit Answer Incorrect Tries 1/12 Previous Tries

A ball is thrown straight up in the air with an initial velocity of 60feet per second​ (ft/sec). According to the laws of​ physics, if you let y denote the velocity of the ball after x​ seconds, y=60−32x.   a. Find the​ y-intercept and slope of the linear equation. b. Explain what the​ y-intercept and slope represent in terms of the graph of the equation. c. Explain what the​ y-intercept and slope represent in terms relating to the application.   a. The​ y-intercept of the linear equation is b0=   The slope of the linear equation is b1=   b. The​ y-intercept gives the​ y-value at which the line intersects the ___________ (y-asix or x-axis).  The slope indicates that the​ y-value _________ (increases, decreases) by ______ unit(s) for every increase in x of 1 unit.   c. The​ y-intercept is the velocity of the ball at time _______ ​second(s). The slope represents the fact that the velocity of the ball (increases, decreases) by______ ft/sec every ______ (foot, second)

A car is driving away from the base of an 80-meter-tall building. a. Write an equation relating x and y. b. Find the value of y when x = 60.

A bucket is used to fill a large cylindrical vat with water. After pouring buckets of water into the vat, the height of water in the vat was 3 feet. After pouring 16 buckets of water, the height was 6 feet. Let y represent the height of water in the vat (in feet) and x represent the number of buckets poured into the vat. Write a linear equation to estimate the height of the water based on the number of buckets poured in. Express numbers as decimals or integers. The linear equation in slope-intercept form is ____