Let's do

Release k for some while
If
So
So vertical asymptote is at origin now
It mentioned that it's at x=-5 so we need to change x


- Vertical asymptote at x=-5
Now
- for k=0 horizontal asymptote at origin
But it's given
Same put y=12 in place of k

Graph attached for verification
Answer:
The answer to your question is: letter B
Step-by-step explanation:
Function definition: a function is a relation from a set of inputs to a set of outputs.
The most important about functions is that each input is related to one and only one output. Then there are not repeated values of inputs.
In the exercise, the inputs are -10, -25, -5, and the outputs are 5, 10, 15 and 20.
So, to solve this exercise, look for a number in the options that will not be repeated in the inputs,
Then,
- 20 is a possible option because is not repeated
-5 is not an option to complete the table because 5 already exist.
- 15 is a possible option because is not repeated previously.
10C6 = 10!/(6!*(10-6)!) = 10*9*8*7/(4*3*2*1) = 210
There are 210 ways to choose 6 from a group of 10.
Answer:
Step-by-step explanation:
Okay, so attached is a diagram of the triangle we are solving. Because buildings are almost always perpendicular (90 degrees) to the ground, it is a right triangle.
You can now use the pythagorean theorem with the sides to fill in the other side:
a^2+ b^2= c^2
5^2 + b^2= 22^2
25+b^2=484
b^2= 459
b=21.42
Okay, so for slope you need 2 points- think of the wall as your y axis, and the ground as your x axis. The ladder is the line.
Your first point is (-5,0) because the bottom of the ladder is touching the ground (no y movement) and the bottom of the ladder is 5 feet from the base of the wall and ground (origin).
The second point is going to be (0, 21.42) because that is the height of the wall where the ladder is touching (x is at origin). The 21.42 is positive, because you can't have negative height.
Okay so far? :)
(-5,0) and (0, 21.42)
(x1, y1) and (x2, y2)
slope= (y2-y1)/(x2-x1)
slope= (21.42-0)/ (0-(-5)) ---- becomes positive
slope= 4.284
(Note: slope could also be negative if you put the ladder on the other side of the wall- 5 would become positive... google "positive vs negative slopes" for more info)
Hopefully that answers your question!
Answer:
A)
Step-by-step explanation:
check that the formula in A works . . .
the 7th term should be 320
a(320) = 5(2)^7-1
= 5(2)^6
= 5(64)
= 320