6. you are driving to las cruces on 1-10. it takes you 30 minutes to travel 30 miles. if you calculated the
average speed for this trip it would equal 60 miles an hour. the speed limit on 1-10 is 60 miles per hour
and yet you were pulled over by the police. the policeman was correct, you were speeding. how can
this be true? (do not include the time it took to be stopped and issued a ticket)

See below.

Step-by-step explanation:

You would be travelling at various speeds during the journey, sometimes less than 60 mph and sometimes more, so it is perfectly possible that the police caught you when you were travelling more than 60 mph.

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

answer: on graphs, the open and closed circles, or vertical asymptotes drawn as dashed lines us identify discontinuities.

as before, graphs and tables allow us to estimate at best.

when working with formulas, getting zero in the denominator indicates a point of discontinuity.

when working with piecewise-defined functions, check for discontinuities at the transition points where one piece ends and the next begins.

step-by-step explanation: