That's harder than it looks like...
Answer:
a) Suppose that F is ordered in ascending order:
. Then, the complement of F can be written as

which is the union of a finite number of open intervals, then
is an open set. Thus, F is a closed subset of the real numbers.
b) Take an arbitrary element of F, let us say
. Now, choose a real number
such that
there are not other element of F, because
is less that the minimum distance between
and its neighbors.
In case that
we only consider
, and if
we only consider
.
Then, all points of F are isolated.
Step-by-step explanation:
Answer:
<h3>The answer is 17.80 units</h3>
Step-by-step explanation:
The distance between two points can be found by using the formula

where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-8,19) and (3,5)
The distance between them is

We have the final answer as
<h3>17.80 units to the nearest hundredth</h3>
Hope this helps you
Answer: first option 3, - 7
Justification:
1) Given expression:9x² - 5x - 7
2) Each monomial is a term.
The monomials are each combination of numbers and letters (coefficient, letters and exponents) separated of other monomials (terms) with a + or - operator.
3) Therefore, there are 3 terms which are:
9x²,
-5x, and
-7.
The polynomials with 3 terms are called monomials.
4) The monomial (term) withoud letter is the constant. In this case that is -7.