Answer:
c=80
Step-by-step explanation:
Based on my reading the critical damping occurs when the discriminant of the quadratic characteristic equation is 0.
So let's see that characteristic equation:
20r^2+cr+80=0
The discriminant can be found by calculating b^2-4aC of ar^2+br+C=0.
a=20
b=c
C=80
c^2-4(20)(80)
We want this to be 0.
c^2-4(20)(80)=0
Simplify:
c^2-6400=0
Add 6400 on both sides:
c^2=6400
Take square root of both sides:
c=80 or c=-80
Based on further reading damping equations in form
ay′′+by′+Cy=0
should have positive coefficients with b also having the possibility of being zero.
Answer:
112
Step-by-step explanation:
Aaron = y
Victoria = x
y = 14 +x
126 = 14 + x
x = 112
Victoria sold 112 boxes of cookies
B. triangle ABC is isosceles. The angles add up 180 degrees.
You can find the coordinates of any graph by using a coordinate table, which looks as so in the chart provided below.
What you do is you, put in the letter x and then put what y is equal to in the second box. You plug in any number for x and you solve in order to find the y coordinate. Once you do, for example for plugging in -1 into x you get 1. So your coordinate would be (-1,1).
in proper form a repeating decimal is written with a repeating bar above the very last number after after the decimal from the renths place and down to the right