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?”
Step-by-step explanation:
x² - 2x - 15 = 0
x1 = 5
x2 = -3
Answer: Linear
Explanation: A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.
Answer:
6 inches
Step-by-step explanation:
105÷35=3
3x2=6
So.. hmm notice the picture here
we know the length is 59 more than twice the width,
twice the width, 2 * w, or 2w
59 more than that
2w + 59
we also know that, whatever that is, the diagonal of it is,
2 more inches than that, or
(2w + 59) + 2
now.. use the pythagorean theorem
you'd end up with a quadratic, after simplifying, solve for "w"