Answer:
No
Step-by-step explanation:
A parallelogram may have a right angle (making it a rectangle), but may not.
Answer:
Step-by-step explanation:
DE given is
y''+8y'+15y=0, y(0)=0, y'(0)=1
Take Laplace on the DE
We get
![s^2 Y(s) -sY(0) -y'(0)+8(sY(s)-y(0))+15Y(s) =0\\s^2 Y(s) -s(0) -1+8(sY(s)-0)+15Y(s) =0\\Y(s)(s^2+8s+15)-1=0\\Y(s) = \frac{1}{s^2+8s+15}](https://tex.z-dn.net/?f=s%5E2%20Y%28s%29%20-sY%280%29%20-y%27%280%29%2B8%28sY%28s%29-y%280%29%29%2B15Y%28s%29%20%3D0%5C%5Cs%5E2%20Y%28s%29%20-s%280%29%20-1%2B8%28sY%28s%29-0%29%2B15Y%28s%29%20%3D0%5C%5CY%28s%29%28s%5E2%2B8s%2B15%29-1%3D0%5C%5CY%28s%29%20%3D%20%5Cfrac%7B1%7D%7Bs%5E2%2B8s%2B15%7D)
Simplify to get
Y(s) = ![\frac{1}{2}[ {\frac{1}{s+3} -\frac{1}{s+5} }]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5B%20%7B%5Cfrac%7B1%7D%7Bs%2B3%7D%20-%5Cfrac%7B1%7D%7Bs%2B5%7D%20%7D%5D)
Take inverse
![y(t) = \frac{e^{-3t} -e^{-5t}}{2}](https://tex.z-dn.net/?f=y%28t%29%20%3D%20%5Cfrac%7Be%5E%7B-3t%7D%20-e%5E%7B-5t%7D%7D%7B2%7D)
Answer:
69
Step-by-step explanation:
Total number of outcomes = 36
Number of outcomes with total being 9 = 4
(6, 3) (5,4), (4, 5) (3, 6)
P(equal to 9) = 4/36 = 1/9
Answer: 1/9 (Answer A)
Some examples of multiples of 2/5 are 4/10, 6/15, 8/20, 10/25, 12/30, and 14/35.