Answer:

Step-by-step explanation:
A second order linear , homogeneous ordinary differential equation has form
.
Given: 
Let
be it's solution.
We get,

Since
, 
{ we know that for equation
, roots are of form
}
We get,

For two complex roots
, the general solution is of form 
i.e 
Applying conditions y(0)=1 on
, 
So, equation becomes 
On differentiating with respect to t, we get

Applying condition: y'(0)=0, we get 
Therefore,

__Data__
The equilateral's lengths are all the same
Also if AB = AD = BD = CD that would mean all those sides have the exact same length
Answers and Explanations
15A. BCD has 2 acute angles and one obtuse angle, so this is an Obtuse Triangle
15B. If beforementioned = 5 cm
Then the perimeter is 5cm x 3 = 15cm
15C. ABC is a Right Triangle
16. abcdef. Measure the angles using a protractor
17. The shortest side of ABC is AB which is 5cm, the longest is AC which is 10cm
Shortest side: Longest side
5cm:10cm
1:2 is the ratio
Answer:
To find the volume, we must find the area of the circle and multiply it by its height, think of a cylinder as an object made up of MANY circles. So, V=pir^2h... so diameter is 6cm so radius = 3cm...
therefore, Volume = (pi)(3^2)(12) = 108(pi)
where 12 = height 3 = radius
For the surface area, we need to find the area of the 2 circles(top and bottom ) so once again,
2(pi)(r^2) = 2(pi)(9)
for the area of the rectangle(if we unfold the cylindrical can) we get D(pi)(12) where D= Diameter
so the surface area is
SA = (2)(9)(pi) + 6(pi)(12)
SA = 18pi + 72pi = 90pi
A) Dependent Variable = Sue's Earning
Independent Variable = Number of hours she work
Y = 6x
B) When, x = 1, y = 6(1) = 6,
when x = 2, y = 6(2) = 12
when x = 3, y = 6(3) = 18
Ordered pairs would be: (1, 6), (2, 12), (3, 18)
C) Equation would be: Y = 6x
Where, y = Earning
x = number of hours
Hope this helps!
Hopes this help:
Answer: x = 3, -2 & y = 5, 0
Hopes this is the answer that you where looking for if not I am so sorry.