Factor out the -3
(-3)(x^2-2x+3)
Let
x-----> the measure of the angle formed by the wooden fence and grass
we know that
in a right triangle
tan x=opposite side angle x/adjacent side angle x
opposite side angle x=13 ft
adjacent side angle x=21 ft
so
tan x=13/21x=arc tan (13/21)-----> x=31.76°------> x=32°
the answer is
32 degrees
Answer:
The x-intercept of this equation is at the point (0,0).
Step-by-step explanation:
The graph starts at the origin because the log of 4^0 = 0.
I graphed the equation on the graph below to show you how I got my answer.
If this answer is correct, please make me Brainliest!
Answer:log48
Step-by-step explanation:
3log4+log6-log8
log4^3 + log6 - log8
log(4x4x4)+log6-log8
log64 + log6 - log8
log((64x6) ➗ 8)
log(384 ➗ 8)
log48
Answer:
13.6 ft
Step-by-step explanation:
The geometric sequence of arc lengths can be described by ...
f(n) = a·b^n
We have (n, f(n)) = (3, 20) and (7, 12). Using these values, we can find the common ratio (b):
20 = a·b^3
12 = a·b^7
Then ...
12/20 = (a·b^7)/(a·b^3) = b^4 = 3/5
We want the 6th term, which we can get from the 7th term by multiplying by b^-1.
b^(-1) = (b^4)^(-1/4) = (3/5)^(-1/4) = √(√(5/3)) ≈ 1.13622
Then the 6th swing had an arc length of ...
f(6) = f(7)·b^-1
f(6) = (12 ft)(1.13622) ≈ 13.63 ft ≈ 13.6 ft