Answer:
26.8 pi or approx. 84.19
Step-by-step explanation:
Circumference can be found by multiplying the diameter by pi. The diameter is twice the radius, which in this case is 13.4, so it's 13.4 * 2 = 26.8.
Multiply by pi, and you've got your answer!
Answer:
Choice 3 is your answer
Step-by-step explanation:
The format of the function when you move it side to side or up and down is
f(x) = (x - h) + k,
where h is the side to side movement and k is up or down. The k is easy, since it will be positive if we move the function up and negative if we move the function down from its original position.
The h is a little more difficult, but just remember the standard form of the side to side movement is always (x - h). If our function has moved 3 units to the left, we fit that movement into our standard form as (x - (-3)), which of course is the same as (x + 3). Our function has moved up 5 units, so the final translation is
g(x) = f(x + 3) + 5, choice 3 from the top.
To determine if a line is perpendicular to another, you must first determine the slope...
m = y1-y2/x1-x2
m of FK = 3-5/3-6 = -2/-3 = 2/3
m of FJ = 3-2/3-8 = 1/-5
m of FL = 3-0/3-5 = 3/-2
m of KJ = 5-2/6-8 = 3/-2
m of KL = 5-0/6-5 = 5
m of JL = 2-0/ 8-5 = 2/3
In order for two lines to be perpendicular, their slopes must be opposite reciprocals...
FK is perpendicular to FL
FK is perpendicular to KJ
JL is perpendicular to FL
JL is perpendicular to KJ
FJ is perpendicular to KL
Answer:
b = -125/9
Step-by-step explanation:
1 + log5 ( -9b) = 4
Subtract 1 from each side
1 -1+ log5 ( -9b) = 4-1
log5 ( -9b) = 3
Raise each side to the base 5
5^ log5 ( -9b) = 5^3
This will cancel the log5
-9b = 125
Divide each side by 9
-9b/-9 = 125/-9
b = -125/9
Answer:
it is y=0.25
Step-by-step explanation:
because Step 1: Simplify both sides of the equation.
3.2y−1.4y+y−0.6y=0.55
3.2y+−1.4y+y+−0.6y=0.55
(3.2y+−1.4y+y+−0.6y)=0.55(Combine Like Terms)
2.2y=0.55
2.2y=0.55
Step 2: Divide both sides by 2.2.
2.2y
2.2
=
0.55
2.2
