you can subtract from point 1 to point 2
(9,-2) - (8,3)
9-8= 1
-2-3= -5
therefore horizontal leg is 1
vertical leg is -5
you can also sketch and count the units :)
Answer:
Step-by-step explanation:
3² * 5³ = 3*3 * 5*5*5
= 9 * 125
= 1125
The angle that the wire makes with the ground is
36.869
8
o
.
36.8698
o
.
9/10 : 1/10 = 45,000,000 : x
x = 45000000/9 = 5,000,000
Answer: 5 million acres
(a) The "average value" of a function over an interval [a,b] is defined to be
(1/(b-a)) times the integral of f from the limits x= a to x = b.
Now S = 200(5 - 9/(2+t))
The average value of S during the first year (from t = 0 months to t = 12 months) is then:
(1/12) times the integral of 200(5 - 9/(2+t)) from t = 0 to t = 12
or 200/12 times the integral of (5 - 9/(2+t)) from t= 0 to t = 12
This equals 200/12 * (5t -9ln(2+t))
Evaluating this with the limits t= 0 to t = 12 gives:
708.113 units., which is the average value of S(t) during the first year.
(b). We need to find S'(t), and then equate this with the average value.
Now S'(t) = 1800/(t+2)^2
So you're left with solving 1800/(t+2)^2 = 708.113
<span>I'll leave that to you</span>