Answer:
North 10 feet, and East 5 feet.
Step-by-step explanation:
So we know that North is ^ way. We also know that East is > way.
These are the two directions we must go, since the property line is both South and West of the shed.
The shed is 10ft East of the property line, and we must be 15ft in that direction. So we must go another 5ft East.
Now, the shed is 5ft North of the property line, and we must be 15ft in that direction. So we must go another 10 feet North.
Hope this helps!
Is the goal to simplify? You just need to multiply the exponents for each factor:
(2z^2)^(-3)
= 2^(-3) x z^(2 x -3)
= (1/2)^3 x z^(-6)
= (1/8) x (1/z)^6
= 1/(8z^6)
Because the number is positive
Answer:
Part A) The amplitude = 24
Part B) The period = 24
Part C) Vertical shift = 36
Step-by-step explanation:
The general equation of the sine function:
y = A sin (Bx) + C
Where A is the amplitude and B = 360°/Period and C is the vertical shift
See the attached figure which represents the graph of m and f(m)
So,
<u>Part A:</u>
The function has minimum at 12 and maximum at 60
The difference is = 60 - 12 = 48
So, The amplitude = 48/2 = 24
<u>Part B:</u>
Period: The period of a periodic function is the interval on which the cycle of the graph that's repeated in both directions lies.
We can deduce that the function completes one cycle within 24 months
So, the period = 24
<u>Part C:</u>
Vertical shift is obtained at m = 0
So, f(m) = 36
36 = A sin (0) + C
C = 36 ⇒ Vertical shift
So, The amplitude = 24
The period = 24
Vertical shift = 36