Answer: 
Step-by-step explanation:
This is a <em>homogeneous linear third-order differential equation</em>
z′′′+2z′′−4z′−8z=0 so the
FIRST STEP is to find the characteristic equation and its roots
<em>
</em>
Using the method of finding roots of a polynomial (using m = 2) would provide the solution below
(m-2)(m+2)(m+2)=0; m = 2 and m = -2 (repeated twice)
SECOND STEP is to write the general solution with the arbitrary constants.
The general solution based on the roots and the using x as the independent variable would provide
<em>*It should be noted that when the characteristic equation has a repeated root, the general equation form becomes similar to the last part of the answer*</em>
Answer: center (0,0), vertices (+/-5,0), foci (+/-4.6,0)
Step-by-step explanation:
The values for x and y are respectively given as
This is further explained below.
<h3>What is the values for
x and y ?</h3>
Generally, the equation for secent is mathematically given as
Therefore
80 = 130-x
x = 50
b) To Solve for y Now we find a measure of arc CD
ArcCD = 360-130-50
ArcCD = 180
In conclusion,(1/2) of the arc measure is equal to the angle that is on and inside a circle.
y = 180/2
y= 90
Read more about circle
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Answer:
Step-by-step explanation:
Distributive Property: 
Write An Equation:
(5 * x) + (5 * 3)
Solve:
5 * x = 5x
5 * 3 = 15
Rewrite Equation
5x + 15
Answer:
6k 2k-6
Step-by-step explanation:
