Ian is working two summer jobs, making $19 per hour lifeguarding and making $9 per hour clearing tables. In a given week, he can work no more than 14 total hours and must earn a minimum of $180. If xx represents the number of hours lifeguarding and yy represents the number of hours clearing tables, write and solve a system of inequalities graphically and determine one possible solution.

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,

its 50 miles away from the starting point

step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.