Jessie recently drove to visit her parents who live 570 miles away. On her way there her average speed was 25 miles per hour faster than on her way home (she ran into some bad weather). If Jessie spent a total of 19 hours driving, find the two rates (in mph). Round your answer to two decimal places, if needed. Jessie's average speed to her parents' house: mph

Jessie's average speed from her parents' house: mph

let x=speed on the way home

x+11=speed on the way to visit her parents

travel time=distance/speed

x(x+11).

..

540(x+11)+540x=18(x^2+11x)

540x+5940+540x=18x^2+198x

18x^2-882x-5940=0

divide by 18:

x^2-49x-330=0

(x+6)(x-55)=0

x=55

x+11=66

speed on the way home=55 mph

speed on the way to visit her parents = 66 mph

Step-by-step explanation:

answer:

sometimes

*i think

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2