Answer:
3 feet
Step-by-step explanation:
A = l x w Formula
18.9 = 6.3 x w Substitution
18.9/6.3 = w Division
3 = w Solution
Part A: (n^2-6n)+16
[(n^2-6n+9)-9]+16
(n-3)^2+7
Part B: From the above result,
Vertex (3,7) this is the minimum point of the graph since the coefficient of a is positive
Part C: The axis of symmetry is basically the x coordinate of the vertex, so the axis of symmetry is x=3
Hope this helps!
Since we are trying to find the number of sequences can be made <em>without repetition</em>, we are going to use a combination.
The formula for combinations is:

is the total number of elements in the set
is the number of those elements you are desiring
Since there are 10 total digits,
in this scenario. Since we are choosing 6 digits of the 10 for our sequence,
in this scenario. Thus, we are trying to find
. This can be found as shown:

There are 210 total combinations.
Answer:
Yes.
Step-by-step explanation:
Answer:
a = - 5
Step-by-step explanation:
Given
0.5(14a + 46) = - 11a - 42 + 5a ← distribute left side
7a + 23 = - 6a - 42 ( add 6a to both sides )
13a + 23 = - 42 ( subtract 23 from both sides )
13a = - 65 ( divide both sides by 13 )
a = - 5