1.5x=3
First you want to get x by itself so divide both sides by 1.5
3/1.5=2
x=2
So 12 = 2 + 20t -5t^2
5t^2 -20t + 10=0
t^2 -4t + 2 = 0
Use quadratic formula to solve
You can divide 73/641 to find the percent:
73/641 = 0.11388455...
It keeps going on so I'll stop there.
Now to make it into a percentage, multiple it by 100:
0.11388455 * 100 = 11.388455%
Part I)
The module of vector AB is given by:
lABl = root ((- 3) ^ 2 + (4) ^ 2)
lABl = root (9 + 16)
lABl = root (25)
lABl = 5
Part (ii)
The module of the EF vector is given by:
lEFl = root ((5) ^ 2 + (e) ^ 2)
We have to:
lEFl = 3lABl
Thus:
root ((5) ^ 2 + (e) ^ 2) = 3 * (5)
root ((5) ^ 2 + (e) ^ 2) = 15
Clearing e have:
(5) ^ 2 + (e) ^ 2 = 15 ^ 2
(e) ^ 2 = 15 ^ 2 - 5 ^ 2
e = root (200)
e = root (2 * 100)
e = 10 * root (2)
