(4x2-2x3)
(8-6)
xz=2
Hope this helps!
Answer: X equals B.
Step-by-step explanation: all the degrees in a triangle add to be 180, so add up the given angles and subtract from 180 to get the missing angle.
Answer:
28 hours
Step-by-step explanation:
Adena, Julius, and Tia volunteered to read to children at the public library.
Let us represent, the number of hours worked by
Adena = x
Julius = y
Tia = z
Julius worked two hours less than Tia.
y = z - 2
z = y + 2
Adena worked twice as many hours as Julius.
x = 2y
Altogether they worked 58 hours.
x + y + z = 58.... Equation 1
We substitute 2y for x and y + 2 for z in Equation 1
2y + y + y + 2 = 58
4y + 2 = 58
Collect like terms
4y = 58 - 2
4y = 56
y = 56/4
y = 14
We are the find the number of hours Adena worked which is represented by x
Note that:
x = 2y
y = 14, hence,
x = 2 × 14
x = 28 hours
Therefore, the number of hours Adena worked is 28 hours
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,
