I'd suggest using "elimination by addition and subtraction" here, altho' there are other approaches (such as matrices, substitution, etc.).
Note that if you add the 3rd equation to the second, the x terms cancel out, and you are left with the system
- y + 3z = -2
y + z = -2
-----------------
4z = -4, so z = -1.
Next, multiply the 3rd equation by 2: You'll get -2x + 2y + 2z = -2.
Add this result to the first equation. The 2x terms will cancel, leaving you with the system
2y + 2z = -2
y + z = 4
This would be a good time to subst. -1 for z. We then get:
-2y - 2 = -2. Then y must be 0. y = 0.
Now subst. -1 for z and 0 for y in any of the original equations.
For example, x - (-1) + 3(0) = -2, so x + 1 = -2, or x = -3.
Then a tentative solution is (-3, -1, 0).
It's very important that you ensure that this satisfies all 3 of the originale quations.
The figure is right triangle with base =segment AB = 3 and height = segment AC = 2.
The angle B has tangent, tan (B) = 2 / 3
The angle C, has tangent, tan (C) = 3 / 2
Then, the answer is option C, tan C
Answer:
a6 = -3072
Step-by-step explanation:
Put 6 where n is and do the arithmetic.
Since the form of your function looks like it is trying to describe a geometric sequence, we assume you actually mean ...
an = 3(-4)^(n-1)
So, for n=6, this has the value ...
a6 = 3(-4)^(6-1) = 3(-1024)
a6 = -3072
_____
Same deal if you really mean
an = -12n -1
a6 = -12(6) -1 = -73
Answer:
5$
Step-by-step explanation:
I am Majoring in math
Six billion six hundred fifty-one million two-hundred ninety-seven thousand.
6,651,297,000 rounded to nearest hundred million = 6,700,000,000
