Answer:
The perimeter of the original octagon is:
The perimeter of the new octagon is:
Step-by-step explanation:
When it is mentioned that an octagon is regular, it means that all its sides are equal, therefore, each side of the original octagon has a length of 9 units, considering the formula of the octagon's perimeter:
- Perimeter of an octagon = 8 * length.
By replacing you get:
- Perimeter of the original octagon = 8 * 9 = 72 units.
For the new octagon, it is mentioned that each side increases by 27 units, therefore:
- New length = 27 + 9 = 36 units.
Applying the formula of perimeter of an octagon with the new values we obtain:
- <u>Perimeter of the new octagon = 8 * 36 = 288 units.</u>
Combine like terms:
-5d+5e or 5e-5d
If you want, you can factor out the common 5:
5(e-d) is your answer
3,897.003 in expanded form is:
3,000 + 800 + 90 + 7 + 0.003
<u>x = 3</u>
f(x) = x²+ 10x - 5
f(3) = (3)² + 10(3) - 5
f(3) = 9 + 30 - 5
f(3) = 39 - 5
f(3) = 34
g(x) = 8x + 1
g(3) = 8(3) + 1
g(3) = 25
h(x) = 3x - 4
h(3) = 3(3) - 4
h(3) = 9 - 4
h(3) = 5
<u>x = 6
</u>f(x) = x² + 10x - 5
f(6) = (6)² + 10(6) - 5
f(6) = 36 + 60 - 5
f(6) = 96 - 5
f(6) = 91
g(x) = 8x + 1
g(6) = 8(6) + 1
g(6) = 48 + 1
g(6) = 49
h(x) = 3x - 4
h(6) = 3(6) - 4
h(6) = 18 - 4
h(6) = 14
I would explain to someone that you don't need to do any calculations to know the order of the functions when x is equal to 15 by knowing that f(x) is equal to 370, g(x) is equal to 121, and h(x) is equal to 41 to know that it is easy finding the function of x without calculating the answer.
You have a little over 6 hours of gas.
