Answer:A vertex (or node) of a graph is one of the objects that are connected together. The connections between the vertices are called edges or links. A graph with 10 vertices (or nodes) and 11 edges (links).
Step-by-step explanation: (The vertex formula is derived from the completing-the-square process, just as is the Quadratic Formula. In each case, memorization is probably simpler than completing the square.) For a given quadratic y = ax2 + bx + c, the vertex (h, k) is found by computing h = –b/2a, and then evaluating y at h to find k.
Answer:
120 distinct results are possible if no child is to receive more than one gifts.
Step-by-step explanation:
When the order is not important, we use the combination formula:
is the number of different combinatios of x objects from a set of n elements, given by the following formula.

The order is said to be not important if for example, John receiving the Buffalo Bills jersey and then Laura receiving the Cleveland Browns jersey is the same as Laura receiving the Cleveland Browns jersey before John receives the Buffalo Bills jersey.
In this problem, we have that:
Combinations of 7 from a set of 10 elements. So


120 distinct results are possible if no child is to receive more than one gifts.
step 1First, see how many letters in MATHCOUNTS are also in TEACH.
M no
A yes
T yes
H yes
C yes
O no
U no
N no
T yes
S no
That is 5 out of the 10 letters.
so
<span>the probability=</span>5/10-------> 1/2
<span>
the answer is1/2</span>
The answer would be 15h+25 because h isthe variable representing hours and they charge $15 for every hour. And also, the plus 25 is for the setup fee.
Y=mx+b to solve its really easy good luck