Substituting this into the other ODE gives
Since 
, it follows that 
. The ODE in 
has characteristic equation
with roots 
, admitting the characteristic solution
From the initial conditions we get
So we have
Take the derivative and multiply it by -1/4 to get the solution for 
:
It depends on the side lengths, but the sum of all the angles is 360°
Answer:
$6
Step-by-step explanation:
In order to find the amount of the tip that T.J. and Lindsey will leave for their waiter, you have to multiply the lunch cost for the percentage they want to leave as a tip for their waiter:
Lunch cost=$30
Percentage they want to leave as a tip= 20%
$30*20%=$6
According to this, the answer is that the amount of the tip is $6.
7 > z + 18 ≥ 6
Subtract 18 from all 3 parts:
7-18 > z +18 -18 ≥ 6-18
-11 > z ≥ -12
The given equation is: 
To find the line perpendicular to it, we interchange coefficients and switch the signs of one coefficient.
The equation to a line perpendicular to it is:
$ 2y-x=c$
where, $c$ is some constant we have determine using the condition given.
It passes through $(2,-1)$
Put the point in our equation:
$2(-1)-(2)=c$
$c=-2-2$
$c=-4$
The final equation is:
$\boxed{ 2y-x=-4}$
