Answer:
Heptagon = 84 ft²
Octagon = 186 yd²
Triangle = 48√3 m²
Step-by-step explanation:
where:
= length of apothem
= perimeter
<u>Heptagon</u>
a = 5.0 ft
p = 33.6 ft
⇒ area = 1/2 x 5.0 x 33.6 = 84 ft²
<u>Octagon</u>
a = 7.5 yd
p = 8 x 6.2 = 49.6 yd
⇒ area = 1/2 x 7.5 x 49.6 = 186 yd²
<u>Triangle</u>
Formula for the apothem of an equilateral triangle :
where 
= side length
a = 4, so:
Now we know the side length, we can calculate the perimeter (p):
p = 3 x 8√3 = 24√3
⇒ area = 1/2 x 4 x 24√3 = 48√3 m²
I honestly have no idea :) :S ur welcome
has characteristic equation
which has roots at
, giving the characteristic solution
For the nonhomogeneous part of the ODE, let
. Then
Substituting into the ODE gives
It follows that
which yields the particular solution
So the general solution is
we are given
point for f(x) is (-5,-2)
Whenever we need to find point for a*f(x) , we will multiply a by y-value
Here , we have 2f(x)
so, we will multiply 2 units to y-value
y-value is -2
new y-value will be 2*-2=-4
so,
point for 2f(x) will be (-5,-4)........Answer
f(x) = x^2 and g(x) = x - 3.
To find f(g(x)) replace the x in f(x) by g(x).
f(g(x)) = (x - 3)^2
= x^2 - 6x + 9.
