Not sure how to do this, fill in the blank to make the two fractions equivalent. 3/5 = ?/25
1 answer:
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Answer:
12 sides
Step-by-step explanation:
Given
Sum of interior angle = 1800 degrees
Required
Number of sides of the polygon
The sum of interior of a convex polygon is calculated using the following formula:
Sum = (n - 2) * 180
Where n is the number of sides of the polygon.
By substituting 1800 for Sum, we have
Divide through by 180
Add 2 to both sides
Re order
Hence, the number of sides of the polygon is 12
a) The factors have the form:
where x1 is a zero of the function. A zero is a point at which the graph intercepts the x-axis. From the graph, the zeros are:
-6, -4, 2, and 3
Therefore, the factors are:
(x + 6)
(x + 4)
(x - 2)
(x - 3)
b) Multiplying all these factors we get a polynomial, p(x), with the zeros of the graph. That is:
p(x) = (x + 6)(x + 4)(x - 2)(x - 3)
c) Yes, it is possible to find other polynomials with the same zeros. To do that we have to multiply p(x) by a constant. For example, multiplying by 2:
f(x) = 2(x + 6)(x + 4)(x - 2)(x - 3)
and f(x) has the same zeros as p(x)
d) Every polynomial obtained in the previous way, multiplying p(x) by a constant, will have a different graph. In conclusion, it is not possible to find other polynomials with the same zeros and the same graph.