A vertical asymptote is what you get when you try to divide by 0. To find where you get these, you need to look at the denominator and what values of x will make the denominator equal to 0.
In your denominator, you have (x+7)(x-5)(x-3).
What values of x makes (x+7)(x-5)(x-3)=0?
If x = -7, if x = 5, or if x = 3, then that entire expression will equal zero. (Same idea as when you solve equations by factoring.
Now the only place this can get trickier is if one of those factors — one of (x+7), (x-5), or (x-3) — also appears in the numerator. If that happens, then it’s more involved whether you have an asymptote or not. But that doesn’t happen in this example.
So the short version: Asymptotes happen when you try to divide by zero. Dividing by zero is not a good thing. So you just ask yourself, “What will make the denominator 0?”
The diameter is 5.72958
(in order to find the diameter use the equation d= C/pi )
Answer:
1) (-50) <(-25) < (-10) < 10 < 25
2) 150 in^2
Step-by-step explanation:
For the first question we list the numbers according to their sign(start from negative)
For the second question we multiply height with width to find the area of the rectangle.
Answer:
y=-2/9 x – 9
Step-by-step explanation:
It really is simple translation because this is written in y=mx+b, where b is the given y-intercept. From there, just subtract what is needed to go down or add what is need to go up.
y=-2/9 x – 7 – 2
.:y=-2/9 x – 9
Answer:
An example below
Step-by-step explanation:
5(4a + 7(a + 2b))
First simply the inside bracket using distributive property:
7(a + 2b)
7(a) + 7(2b)
7a + 14b
5(4a + 7a + 14b)
5(11a + 14b)
Use distributive property again
5(11a) + 5(14b)
55a + 70b
