<span>choices....
a. csc = 15/12
sec = 15/9
b. csc = 15/12
sec = 12/15
c. csc = 9/15
sec = 12/15
d. csc = 9/12
sec = 9/15
a = 9 ; b = 12 ; c = ?
Pythagorean theorem: a</span>² + b² = c²
9² + 12² = c²
81 + 144 = c²
225 = c²
√225 = √c²
<span>15 = c
CSC = cosecant function = hypotenuse/opposite = 15/12
SEC = secant function = hypotenuse/adjacent = 15/9
Choice A: </span><span>csc = 15/12 sec = 15/9 </span>
This looks like a system of equations:
We should solve for c on the first equation because we can substitute for c. There are a lot of ways we can do a system of equations, but I will do this.
c - 3d = 11
+3d +3d
c = 11 +3d
Now we can substitute.
-2(11+3d) + 3d = -16
solve
-22 + -6d + 3d = -16
-22 + -3d = -16
+22 +22
-3d = 6
/-3 /-3
d = -2
So we have found d. We can solve for c.
c - 3(-2) = 11
c + 6 = 11
-6 -6
c = 5
Now we know both D and C. d=-2 and c=5
-5 - 4 -1 4 11 20 31 subtracting:-
1 3 5 7 9 11 subtractiing:-
2 2 2 2 2
second row is 2 so the rule will contain n^2
so we can write the series as n^2 - 6 , n^2 - 8 , n^2 - 10 etc
the numbers are in arithmetical sequence with a1 = 6 and d = -2
so nth term of our sequence is n^2 - a1 + (n - 1)d = n^2 -2n - 6 + 2
= n^2 - 2n - 4 Answer
Answer:
8.5
Step-by-step explanation:
So substitute the vales for r and d
(4*2)
and |-6| means the absolute value of -6, which is just 6
so simplifying the equation would make it
(8+6.5) - 6
14.5-6
8.5 :)