F(x)=25-x^2
g(x)=x+5
f/g(x)=(25-x^2)/(x+5)
f(x) is in binomial form so 25-x^2 can also be written as (5-x)(5+x)
so
f/g(x)=(5-x)(5+x)/(x+5)
f/g(x)=5-x
Answer:
x=67
y=40
The angles equal 63 and 117
Step-by-step explanation:
88% sure
Answer:
The atomic weight (or atomic mass) of Vanadium is 50.9415 which means that a "mole" of Vanadium atoms (6.02 x 10^23 atoms) will have a mass of 50.9415 grams. So, 214.1 grams of Vanadium would have
(214.1 / 50.9415) * (6.02 x 10^23) = 2.530 x 10^24 atoms
Step-by-step explanation:
Answer:
x=4 x=10
Step-by-step explanation:
(x - 6) (x - 8) =8
We need to multiply out the left side
x^2 -8x -6x+48 = 8
x^2 -14x +48 = 8
Subtract 8 from each side
x^2 -14x +48-8 = 8-8
x^2 -14x+40 =0
We need to factor the left side. What two numbers multiply to give 40 and add to give -14
-4*-10 = 40
-4+-10 = -14
(x-4) (x-10) =0
Using the zero product property
x-4=0 x-10 =0
x=4 x=10
The angular velocity is the linear speed divided by the radius.
ω = d/(t*r) = (14.13 ft)/((3 s)*(6 ft))
ω = 0.785 radians/second
There are 180/π degrees per radian, so the angular velocity can also be written as ...
ω = 45 degrees/second