Answer:
Maximum area = 9 sq units
Step-by-step explanation:
which represents the area . As it is a quadratic equation it represents the parabola . And the vertex of the parabola will maximum area of for some value of x
let f(x) = y
Comparing it with the standard equation of parabola
we get h=3 and y=9
where (h,k) is the vertex (3,9)
Hence the maximum area of the rectangle will be 9
With an isotropic source, you can think on the radiation like a expanding sphere, where you will measure the same cps in any point while you keep the same distance to the source, ence the radius of the sphere remains constant. So, you know that the relation depends on the radius, also, when the sphere grows, the radiation in it expands in more surface, ence the density of particles will decrease, particularly, like
then, in 15cm you will have 55cps = A/(10*10) where A is the "intensity of the source" whit this you can know the value of A = 55cps*100.
then, for 22cm, Y = 55cps*100/(22*22) = 20.66 cps.
the equations are already in slope-intercept form, therefore
so their slopes are 2 and 4.
parallel lines have exactly the same slope, these ones do not, so they're not parallel.
perpendicular lines, have negative reciprocal slopes, in short, their product gives -1, 2*4 ≠ -1, so they're not perpendicular either.