0 = f(x) = (x - r)(x - s) = x² - (r+s) + rs
We have r=1.5+√2, s=1.5 -√2 so r+s = 3 and
rs = (1.5+√2)(1.5 - √2) = 1.5² - (√2)² = 2.25 - 2 = 0.25
f(x) = x² - 3x + -.25
For integer coefficients we mulitply by 4,
g(x) = 4f(x) = 4x² - 12x - 1
Answer: 4x² - 12x - 1 = 0
Answer:
B.99°
Step-by-step explanation:
105°+ 66°+90°+ angle c=360°
angle c= 360° - 261
=99°
Answer:
The vector joining the ship to the rock is t= 7 i + 5 j
The direction is 0.9505 radians east of north.
Step-by-step explanation:
The position vector of the ship:
r= 1 i + 0 j
The position vector of the ship:
s= 6 i + 5 j
The vector joining the ship to the rock is:
t = r + s
t = (1 i + 0 j) + (6 i + 5 j)
t = 7 i + 5 j
The bearing of the rock to the ship is:
Θ=
= 0.9505 radians
reduce the index of the radical and exponent with 3, rhen you get your answer, 6
This is just like an exponential growth equation...
Final=initial*rate^periods
25000=12500(1.0525)^t
2=1.0525^t
ln2=t ln1.0525
t=ln2/ln1.0525
t=13.55
t=14 yrs