Answer:
y = - 1
Step-by-step explanation:
the midline is positioned midway between the maximum and minimum values , that is
maximum value = 2 and minimum value = - 4 , then
y =
=
= - 1
equation of midline is y = - 1
Answer:
see below
Step-by-step explanation:
3t+1> 3t + 2
Subtract 3t from each side
1>2
This is never true so there is no solution
Since the variable terms are the same, we only have to look at the constants
To find our solution, we can start off by creating a string of 27 boxes, all followed by the letters of the alphabet. Underneath the boxes, we can place 6 pairs of boxes and 15 empty boxes.The stars represent the six letters we pick. The empty boxes to the left of the stars provide the "padding" needed to ensure that no two adjacent letters are chosen. We can create this -

Thus, the answer is that there are

ways to choose a set of six letters such that no two letters in the set are adjacent in the alphabet. Hope this helped and have a phenomenal New Year!
<em>2018</em>
Answer:
30 inches squared
Step-by-step explanation:
First, find the area of the entire frame using length times height. 9*6 is 54 inches squared. Then, find the area of the middle space the same way. 6*4 is 24 inches squared. Lastly, subtract the middle from the entire frame's area. 54-24 is 30 inches squared.
Answer:
see explanation
Step-by-step explanation:
The perimeter is the sum of the measures of the 3 sides.
Sum the sides and equate to 75, that is
2x - 9 + 3x + 4 + 2x + 3 = 75, that is
7x - 2 = 75 ( add 2 to both sides )
7x = 77 ( divide both sides by 7 )
x = 11
Thus
AB = 2x - 9 = 2(11) - 9 = 22 - 9 = 13 m
BC = 3x + 4 = 3(11) + 4 = 33 + 4 = 37 m
AC = 2x + 3 = 2(11) + 3 = 22 + 3 = 25 m