Answer:
<h2>84feet</h2>
Step-by-step explanation:
Given the height of the ball modelled by the equation h(t)=16t²+84 after t secs. At the maximum height, the velocity of the ball is zero.
Velocity V is the change of rate of displacement.
V = dh/dt = 32t
0 = 32t
t = 0secs
at t = 0;
h(0) = 16(0)²+84
h(0) = 84feet
This shows that the maximum height of the ball is 84feet
Answer:
x = -9
Step-by-step explanation:
- Add 12 to each side, so it now looks like this: -3x = 27
- Divide each side by -3x, so it now looks like this: x = -9
I hope this helps!
Answer:
option d is correct answer
Step-by-step explanation:
-18x+12
Answer:
8 = m, No solution
Step-by-step explanation:
1. -88 = -3(4m + 5) - (1 - 3m)
-88 = -12m - 15 - 1 + 3m : distributed into parentheses
-88 = -9m - 16 : combined like terms
+16 + 16 : adding to cancel out
-72 = -9m
/-9 /-9 : dividing by -9 to cancel
8 = m
2. -4(5k - 7) + 2k = -2(9k + 5)
-20k + 28 + 2k = -18k - 10 : distributed into parentheses
-18k + 28 = -18k - 10 : combined like terms
+ 10 + 10 : adding to cancel out
-18k + 38 = -18k
+18k +18k : adding to cancel out
38 = 0k (No solution)
For this you need to expand the brackets first:
3(2x+5)-4(2x-7) = 6x+15-8x-28
And then now you need to add and simplify:
6x+15-8x-28 —> 6x-8x= -2x
15-28= -13
So that leaves
-2x - 13