Sandy is working with a carpenter to frame a house
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<h2>Greetings!</h2>
<h2>Hope this helps!</h2>
Answer:
The slope is 1.
Step-by-step explanation:
First, we must find the slope of the current equation.
This is the number in front of the x.
Seeing as this is -x, or -1x, the slope of this line is -1
When finding the slope of a line perpendicular, you need to find the
So, in this case it is:
The minuses cancel out, leaving with 1 over 1 or 1/
So the slope of the line perpendicular is 1!
<h2>Hope this helps!</h2>
Answer:
Step-by-step explanation:
This is <em>a separable differential equation</em>. Rearranging terms in the equation gives
Integration on both sides gives
where is a constant of integration.
The steps for solving the integral on the right hand side are presented below.
Therefore,
Multiply both sides by
By taking exponents, we obtain
Isolate .
Since when
, we obtain an initial condition
.
We can use it to find the numeric value of the constant .
Substituting for
and
in the equation gives
Therefore, the solution of the given differential equation is