Answer:
7 of the angles measure 144 degrees each and one angle measures 72 degrees
Step-by-step explanation:
Let
x -----> represent the measures of the seven same-size angles,
x/2 ----> represent the measure of the one that is "two times smaller."
we know that
The sum of internal angles of a polygon can be calculated as:
where
n is the number of sides of the polygon
In this case
n=8 (octagon)
substitute
so
The linear equation that represent this problem is
solve for x
so
therefore
7 of the angles measure 144 degrees each and one angle measures 72 degrees
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 answer would be 17.8 hope this help you
Answer:
p= 1/3 or 0.33 repeating
Step-by-step explanation:
5-19p=-p-1
5=18p-1
6=18p
divide by 18
6/18 = 1/3 or 0.33 repeating
Answer:
the equation is y = ax + b (a ≠ 0)
see in the graph, the line passed through (0;3) and (1;5)
=>b = 3
a + b = 5
<=> a = 2
b = 3
=> the equation is y = 2x + 3
Step-by-step explanation:
