Answer:
units
Step-by-step explanation:
The perimeter of a square is 4 times the length of one side.
The length of the sides of a square is given by the expression 
To find the perimeter, we multiply this expression by 4.
We expand to obtain:
This simplifies to:
Answer:
39
Step-by-step explanation:
g(x)= -2x+2 and f(x)= 3x^2+4
(g+f)(-3)
g(-3) = -2(-3) +2 = 6+2 =8
f(-3) = 3 (-3)^2 +4 = 3(9)+4 = 27+4 = 31
(g+f)(-3) = g(-3) + f(-3) = 8+31 = 39
Answer:1/4 hour remaining
Step-by-step explanation:
Presenter 1 - 1/3 hour
Presenter 2 - 1/6 hour
Presenter 3 - 1/4 hour
Convert to least common denominator of 12
4/12 + 2/12 + 3/12 = 9/12
12/12 - 9/12 = 3/12
Reduce 3/12 to get 1/4 hour remaining
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.
