The height of the rocket is found in terms of the angle as
.. h/(3 mi) = tan(θ)
.. h = (3 mi)*tan(θ)
Then the rate of change of height (vertical velocity) is
.. h' = (3 mi)*sec(θ)^2*θ'
.. h' = (3 mi)*4*(1.5 rad/min)
.. h' = 18 mi/min
The rocket's velocity is 18 miles per minute at that moment.
Answer:
12 constant terms and 12 variable terms
Step-by-step explanation:
Answer:
Answer: It's relatively easy to find x in this problem. 4x+3y=12 means that the expression 3y needs to be 12 too, which gives us 12-6 or 6. That number divided by 4 is 2, so x=2! Congrats, you've found x!
Step-by-step explanation:
One way of solving this problem is to remove the parentheses all together and write the equation as 8x+6y = 54. Subtracting 54 from both sides would give us -8x + 6y = 18. The key point here is that when subtracting a negative number, we have to borrow one from our variable so instead our answer becomes (-8)x-6(y)=-54.