A motorcyclist is riding towards a building that has its top 300 meters higher than her viewing position on the road below. When she is 400 meters away from the building, the motorcyclist notes that the angle of elevation from her position to the top of the building is increasing at the rate of 0.03 radians per second. Find the speed of the motorcycle at the time when x = 400 meters and dθ
dt = 0.03 radians per second.

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.

answer: 33 ( approx)

step-by-step explanation:

since, in the linear regression formula, the slope is the a in the equation y = b + ax ( by comparing it with the general equation of line y = mx + c )

where,

here given table is,

price ($), x   :           18         23       25       29       30       33

pairs sold, y :         16         13         10       8         6       2

so, ,   ,   ,

and   ,

thus, slop of the given line is,

⇒  

⇒   ≈ 33