Find the shortest distance between the point (0, 2) and the line y = x + 5.

The shortest distance between the point (0, 2) and the line y = x + 5 is

Step-by-step explanation:

The shortest distance d from a point (,) to a line ax+by+c=0 can be found using the equation:

Thus the shortest distance between (0,2) and y-x-5=0 is:

=

given : the shape of his satellite can be modeled by   where x and y are modeled in inches.

now,the given equation   is a equation of parabola.

here, coefficient of x is positive, hence the parabola opens rightwards.

on comparing this equation with standard equation , we get

in standard equation, coordinates of focus=(0,m)

thus for given equation coordinates of focus=(0,1.5)

step-by-step explanation: