Julie is a math tutor. she charges each student $210 for the first 7 hours of tutoring and $20 for each additional hour. when the number of hours (h) that julie spends tutoring a student is greater than 7 (h > 7), the equation that gives the amount (a) that julie earns in dollars is a = 210 + 20(h + 7) a = 210 + 20(h - 7) a = -210 + 20(h - 7) a = 210 + (h - 7)/20. if julie earns $410 tutoring one student, solve for the total number of hours she spent tutoring the student.
a.) 38
b.) 19
c.) 17
d.) 12

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).

- both graphs increase on their domain.

- the graphs of both functions have the same x-intercept.

- neither graph has a y-intercept.