Solve 3/4h - 12 = 8 5/8
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The point Q on a line segment with end points(2,1) and (4,2) is Q(12/5, -2/5)
<h3>What is a line segment?</h3>A line segment is a straight line that passes through two given points.
The end points of the line determine how long or short a given line segment would be.
Analysis:
point Q(x, y )
x =
y =
where M :N = 4:1
x1 = 2, x2 = 4, y1 = -1, y2 = 2
x = = 12/5
y = = -2/5
In conclusion, the point Q is (12/5, -2/5).
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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