Answer:
a = 
Step-by-step explanation:
Given:
f(x) = log(x)
and,
f(kaa) = kf(a)
now applying the given function, we get
⇒ log(kaa) = k × log(a)
or
⇒ log(ka²) = k × log(a)
Now, we know the property of the log function that
log(AB) = log(A) + log(B)
and,
log(Aᵇ) = b × log(A)
Thus,
⇒ log(k) + log(a²) = k × log(a) (using log(AB) = log(A) + log(B) )
or
⇒ log(k) + 2log(a) = k × log(a) (using log(Aᵇ) = b × log(A) )
or
⇒ k × log(a) - 2log(a) = log(k)
or
⇒ log(a) × (k - 2) = log(k)
or
⇒ log(a) = (k - 2)⁻¹ × log(k)
or
⇒ log(a) = 
(using log(Aᵇ) = b × log(A) )
taking anti-log both sides
⇒ a =
120º is 1/3 of a complete revolution of 360º. So the area of this sector should be 1/3 the area of the complete circle.
A circle with radius 9 has area 9^2 π = 81π.
So the sector has area 81π/3.
Put another way: The area <em>A</em> of a circular sector and its central angle <em>θ</em> (in degrees) occur in the same ratio as the area of the entire circle with radius <em>r</em> according to
<em>A</em> / <em>θ </em>º = (π <em>r </em>^2) / 360º
==> <em>A</em> = π/360 <em>θ r</em> ^2
In this case, <em>r</em> = 9 and <em>θ</em> = 120º, so
<em>A</em> = π/360 * 120 * 81 = 81π/3
Solve the equation
So first we subtract 8 from both sides because we apply the inverse operation.
-2x+8=-16
-8 -8
Now we apply it and re write the equation
-2x=-24
Now the inverse operation for multiplication is division, so we apply it.
-2x=-24
------------
-2 -2
We are left with x=8
So our final answer is x=8
Check our work
-2(8)+8=-16
CORRECT ANSWER. :)
Answer:
10/9
Step-by-step explanation:
3000cm because if you look at the variables there is no more letter m's than anything so if you cancel out and see what is equal to 30 then you get 3000cm!!!!!
