Simplifying h(x) gives
h(x) = (x² - 3x - 4) / (x + 2)
h(x) = ((x² + 4x + 4) - 4x - 4 - 3x - 4) / (x + 2)
h(x) = ((x + 2)² - 7x - 8) / (x + 2)
h(x) = ((x + 2)² - 7 (x + 2) - 14 - 8) / (x + 2)
h(x) = ((x + 2)² - 7 (x + 2) - 22) / (x + 2)
h(x) = (x + 2) - 7 - 22/(x + 2)
h(x) = x - 5 - 22/(x + 2)
An oblique asymptote of h(x) is a linear function p(x) = ax + b such that
In the simplified form of h(x), taking the limit as x gets arbitrarily large, we obviously have -22/(x + 2) converging to 0, while x - 5 approaches either +∞ or -∞. If we let p(x) = x - 5, however, we do have h(x) - p(x) approaching 0. So the oblique asymptote is the line y = x - 5.
keeping in mind that a line with a slope of "0" is a horizontal line, Check the picture below.
If you want to find how much this cereal costs per ounce, you divide the cost by the number of ounces. 5.79 divided by 36 equals about sixteen cents per ounce.
Answer:
- <u><em>Approximately 600 miles</em></u>
Explanation:
There are several ways to solve this using different assumptions.
First you need to imagine an isosceles triangle formed by:
- the equal sides of the triangle are the distance between the Earth and the Moon: 234,000 miles
- the included angle is 30 second of degree
- the base side of the triangle, opposed to the 30 seconds angle, is how far in miles from its assigned target the laser beam is: x
You can solve for x in several ways.
I will use the cosine rule:
Where:
One second of degree equals 1/3600 degrees:
Substitute in the equation and compute:
X is 8 y is 6 , sin (y/r) r=10. x^2+y^2 = r^2. cos(x/r) tan (y/x) the other 3 are probably cosecant secant and cotangent just do the inverse (flip them) r/x etc..
