The mistake that was made is that she should of multiplied the fractions by the exponents first
Answer:
44 degrees
Step-by-step explanation:
Since they are supplementary, they add up to 180. This means that
3x - 6 + 54 = 180
Solving,
3x + 48 = 180
subtract 48 from both sides
3x = 132
divide both sides by 3
x = 44 degrees
Answer:
t≈8.0927
Step-by-step explanation:
h(t) = -16t^2 + 128t +12
We want to find when h(t) is zero ( or when it hits the ground)
0 = -16t^2 + 128t +12
Completing the square
Subtract 12 from each side
-12 = -16t^2 + 128t
Divide each side by -16
-12/-16 = -16/-16t^2 + 128/-16t
3/4 = t^2 -8t
Take the coefficient of t and divide it by 8
-8/2 = -4
Then square it
(-4) ^2 = 16
Add 16 to each side
16+3/4 = t^2 -8t+16
64/4 + 3/4= (t-4)^2
67/4 = (t-4)^2
Take the square root of each side
±sqrt(67/4) =sqrt( (t-4)^2)
±1/2sqrt(67) = (t-4)
Add 4 to each side
4 ±1/2sqrt(67) = t
The approximate values for t are
t≈-0.092676
t≈8.0927
The first is before the rocket is launched so the only valid answer is the second one
It’s D. 4 is the one next to X because that’s what is changing and -3 is the y intercept which comes after X
Answer:
2/0 or infinity
Step-by-step explanation:
