Answer:
A
Step-by-step explanation:
given 3xy + 4yz + 8xz = 10
subtract 8xz from both sides leaving the terms in y together
3xy + 4yz = 10 - 8xz
take out the common factor y on the left side
y(3x + 4z) = 10 - 8xz
divide both sides by (3x + 4z)
y = 
→ A
Answer would be the bottom answer
Y = yearbook club
d = drama club
y + d = 84
d = y + 16
now we sub y + 16 in for d in the first equation
y + d = 84
y + (y + 16) = 84
2y + 16 = 84
2y = 84 - 16
2y = 68
y = 68/2
y = 34 <=== yearbook club students
d = y + 16
d = 34 + 16
d = 50 <=== drama club students
To solve this we are going to use the kinematic equation for final velocity:
where
is the final velocity
is the initial velocity
is the acceleration
is the time
We know for our problem that the the velocity at the beginning of the slope is
, so
. We also know that the speed ad the bottom of the slope is
, so
. We also know that the acceleration is
, so
. Lets replace those values in our formula and solve for
:
seconds
We can conclude that it takes the roller coaster
3 seconds to reach the bottom of the slope.
