Answer with Step-by-step explanation:
We are given that
DE
Function:
We have to show that given function is a solution of the equation for all values of the constants.
If given function is solution of DE then it satisfied the given DE.
Differentiate function w.r.t.t
Again differentiate w.r.t. t
Substitute the values in the given DE
LHS=RHS
Given function satisfied the given DE.Therefore, it is solution of given DE for all values of the constants.
Slope of the line formed by points (-1,-2) and (3,-3) is 
Step-by-step explanation:
We need to find slope of the line formed by points (-1,-2) and (3,-3)
Finding slope:
The formula used is:
here, 
Putting values and finding slope:
So, slope of the line formed by points (-1,-2) and (3,-3) is
Keywords: Equation of line using Slope
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A parabola in analytical geometry is a curve drawn that has either 2 x-intercepts or y-intercepts. You can see visually that it is a parabola if it forms an arc that passes either the x-axis or y-axis twice. Nevertheless, it would have two roots, so the equation must be quadratic.There are 2 possible equations for a parabola:
(x-h)² = +/- 4a(y-k) or
(y-k)² = +/- 4a(x-h), where
(h,k) are the coordinated of the vertex
a is the distance of the focus from the vertex
From the problem, it says that the vertex is at the origin, so the coordinates are (0,0). That means h=0 and k=0. Also, the focus is a=3. Thus, the possible equations for the reflector are
x² = +/- 12y and y² = +/- 12x
Any of those are possible because the problem mentions that it can open anywhere. Therefore, it could open downwards(-) or upwards(+) if it passes the x-axis twice; or to the left(-) or to the right(+) if its passes the y-axis twice.
Answer:
-2x-4
Step-by-step explanation:
Just simplify
