Answer:
y = - x +
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (2, - 3) and (x₂, y₂ ) = (- 1, 4)
m = = = - , thus
y = - x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 1, 4), then
4 = + c ⇒ c = 4 - =
y = - x + ← equation of line
Answer:
option 2
Step-by-step explanation:
I did this already
Answer:
The third option. (the one where it intersects on the y line)
Step-by-step explanation:
If you solve for the system of equations, you will find that it is (0,3), so it intersects on the y line. Additionally, it is on the top because it is positive.
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:
d=1/2
Step-by-step explanation: