Write an equation and then solve. check your solution. It takes imani 4 times as long as carissa to travel to school each mornin
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Recall that a rational function:
has a vertical asymptote at x₀ if and only if:
Also, the roots of the above rational function are the same as P(x).
Since the rational function has a vertical asymptote at x=-1, we get that its denominator must be:
Since the rational function has a double zero at x=2 we get that its numerator must be of the form:
Finally, since the rational function has y-intercept at (0,2) we get that:
Simplifying the above equation we get:
Dividing the above equation by 4 we get:
Therefore, the rational function that satisfies the given conditions is:
Answer:
The numerator is:
The denominator is:
The greatest whole possible whole number length of the unknown side is 9 inches.
<h3>How to identify if a triangle is acute?</h3>Let us have:
H = biggest side of the triangle
And let we get A and B as rest of the two sides.
Then we get:
If
then the triangle is acute
Two sides of an acute triangle measure as 5 inches and 8 inches
The length of the longest side is unknown.
We have to find the length of the unknown side
WE know that the longest side of any triangle is a hypotenuse
For an acute triangle we know:
Here in this sum,
a = 5 inches
b = 8 inches
c = ?
Substituting we get,
c < 9
Hence, The greatest whole possible whole number length of the unknown side is 9 inches.
Learn more about angles;
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