time= distance/speed
take distance as d. take time as t.
the time taken: d/ 65 for the train however it is the same distance for d/130 so we can say (d/65)-3 = d/130
now solve the equation, multiply both sides by 130
2d-390=d
2d-d=390
so d=390 mi
Check the picture below.
a) is asking what is the initial height, and that occurs right before the balloon is shot up, at 0 seconds, namely at x = 0.
1) x > -4 and x <span>< 2
2) x </span>> 4 and x <span><8</span>
Answer:
A) Ms. Swift can conclude that hey are similar, because line E,C,A is collinear, and they both are right triangles.
B) 158.3ft
Step-by-step explanation:
A) Having a collinear line makes the triangles similar, and because of their collinear line they are both right triangles.
B) The question tells you DE is 103 ft. You take 76ft and Square it giving you 5776ft You then take 103 and square it giving you 10609ft adding them together gives you 16385ft you take the square root of it and it gives you the hypotenuse of triangle CDE. To get the hypotenuse of triangle ABC you take The expression (AB/DE)=(BC/CD)=(AC/EC) step one (AB/DE)=(94ft/76ft)=AC/DE) step two (103ft/127ft)=(94ft/76ft)=(AC/DE) third step (103ft/127ft)=(94ft/76ft)=(128ft/158.3)
I truly hope this helps! :)
