for the triangle...
b=2h
a=(1\2).bh=648
(1/2).2h.h=648
h2=648
h-18|2 in
h=36|2 in
for the rectangle...
L=3+w
a=l+w=648
{3+w}w=648
w2+3w-648=0
Only positive W values make sense here..
w-24=0
w=24 in
So..
L=3+24
Given functions are
![s(n)=2(1.1)^n+5_{}](https://tex.z-dn.net/?f=s%28n%29%3D2%281.1%29%5En%2B5_%7B%7D)
![d(n)=4(1.08)^n+3](https://tex.z-dn.net/?f=d%28n%29%3D4%281.08%29%5En%2B3)
The total number of ducks and swans in the lake after n months can be determined by adding the functions s(n) and d(n).
![t(n)=s(n)+d(n)](https://tex.z-dn.net/?f=t%28n%29%3Ds%28n%29%2Bd%28n%29)
![t(n)=(2(1.1)^n^{}+5)+(4(1.08)^n+3)](https://tex.z-dn.net/?f=t%28n%29%3D%282%281.1%29%5En%5E%7B%7D%2B5%29%2B%284%281.08%29%5En%2B3%29)
![t(n)=2(1.1)^n+5+4(1.08)^n+3](https://tex.z-dn.net/?f=t%28n%29%3D2%281.1%29%5En%2B5%2B4%281.08%29%5En%2B3)
![t(n)=2(1.1)^n+4(1.08)^n+5+3](https://tex.z-dn.net/?f=t%28n%29%3D2%281.1%29%5En%2B4%281.08%29%5En%2B5%2B3)
![t(n)=2(1.1)^n+4(1.08)^n+8](https://tex.z-dn.net/?f=t%28n%29%3D2%281.1%29%5En%2B4%281.08%29%5En%2B8)
Taking 2 as common, we get
![t(n)=2\lbrack(1.1)^n+2(1.08)^n+4\rbrack](https://tex.z-dn.net/?f=t%28n%29%3D2%5Clbrack%281.1%29%5En%2B2%281.08%29%5En%2B4%5Crbrack)
Hence The total number of ducks and swans in the lake after n months is
Answer: The answer choice on the left, AKA the first one.
Step-by-step explanation:
Answer:
y = -1/2x + 13/2
Step-by-step explanation:
The slope of a line that is perpendicular to a line will be a negative reciprocal. When you rewrite 2x-7=8 into slope-intercept form, you get y=2x-8. The negative reciprocal of the slope 2x is -1/2x. There is only one option with this slope. If you're still not sure then you can use a graphing calculator to check this. An online one would be desmos