Answer:

Step-by-step explanation:
The given sequence is 
The common difference is d=10-15=-5
The first term of this sequence is 
We want to find the 27th term in this sequence.
The 27th term is given by:

We substitute the values to get:


1.25L + 2.5L + 1L = 4.75L.
Then 4.75L times 3 is 14.25!
Your final answer is 14.25L.
Answer:
Shortest side = 7 inches.
Medium side = 9 inches.
Longest side = 10 inches.
Step-by-step explanation:
Let the shortest side be x.
Translating the word problem into an algebraic equation, we have;
Shortest side = x
Medium side = x + 2
Longest side = x + 3
The perimeter of a triangle is given by the addition of all its three (3) sides.
Mathematically, the perimeter of a triangle is given by the formula;
Substituting into the equation, we have;
26 = x + x + 2 + x + 3
26 = 3x + 5
3x = 26 - 5
3x = 21
x = 21/3
x = 7 inches.
<em>Therefore, the length of the three sides are;</em>
<em>Shortest side = x = 7 inches. </em>
<em>Medium side = x + 2 = 7 + 2 = 9 inches. </em>
<em>Longest side = x + 3 = 7 + 3 = 10 inches. </em>
9514 1404 393
Answer:
t = 3-√7 and 3+√7 seconds after launch
Step-by-step explanation:
You want to find the values of t that make h=10.
10 = 30t -5t^2
t^2 -6t = -2 . . . . . divide by -5
t^2 -6t +9 = 7 . . . add 9 to complete the square
(t -3)^2 = 7 . . . . . write as a square
t -3 = ±√7 . . . . . . take the square root
t = 3 ±√7 . . . . . . values of t for which height is 10 meters
__
These values are about 0.354 seconds, and 5.646 seconds.